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Profit And Loss
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7. Meenal purchased a car for Rs. 2,50,000 and
sold it for Rs. 3,48,000. Then what is the
percent profit she made on the car?
(Corporation Bank PO Exam. 09.05.2010)
1) 40
2) 39.2
3) 38.4
4) 38
5) None of these
8. Rajani purchased a mobile phone and
refrigerator for Rs. 12,000 and Rs. 10,000
respectively. She sold the refrigerator at a
loss of 12 percent and mobile phone at a
profit of 8 percent. Then what is her overall
loss/profit?
(Punjab & Sind Bank PO Exam. 16.05.2010)
1) Loss of Rs. 280 2) Profit of Rs. 2,160
3) Loss of Rs. 240 4) Profit of Rs. 2,060
5) None of these
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3. The profit earned after selling an article for
Rs. 1,754 is the same as loss incurred after
selling the article for Rs. 1,492. Then what is
the cost price of the article?
(Canara Bank PO Exam. 15.03.2009)
1) Rs. 1,623
2) Rs. 1,523
3) Rs. 1,689
4) Rs. 1,589
5) None of these
6. A shopkeeper bought 30 kg of wheat at the
rate of Rs. 45 per kg. He sold 40 percent of
the total quantity at the rate of Rs. 50 per kg.
Approximately, at what price per kg.
should he sell the remaing quantity to make
25 percent overall profit?
(Allahabad Bank PO Exam. 21.02.2010)
1) Rs. 54
2) Rs. 52
3) Rs. 50
4) Rs. 60
5) Rs. 56
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2. The profit earned after selling an article for
Rs. 1,516 is the same as loss incurred after
selling the article for Rs. 1,112. Then what is
the cost of the article?
(Oriental Bank of Commerce PO Exam.
21.12.2008)
1) Rs. 1,314
2) Rs. 1,343
3) Rs. 1,414
4) Rs. 1,434
5) None of these
5) None of these
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1. Sri Ganesh bought 40kgs of wheat at Rs.
12.50 per kg and 25kgs of it at Rs. 15.10 per
kg. He mixed them together. At what rate
should he sell the mixture to earn 10%
profit?
(Syndicate Bank PO Exam. 10.10.2004)
1) Rs. 13.50
2) Rs. 13.25
3) Rs. 14.75
4) Rs. 14.85
5) None of these
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4. Giridhar purchased 100 sarees @ Rs. 450
per piece. While selling he offered 10%
discount on the labelled price and earned a
profit of 20%. Then what was the labelled
price of each saree?
(PNB Specialist Officer’s Exam. 16.08.2009)
1) Rs. 540 2) Rs. 650 3) Rs. 590
4) Rs. 600 5) None of these
5. Vinod makes a profit of Rs. 110 if he sells a
certain number of pencils he has at the price
of Rs. 2.5 per pencil and incurs a loss of Rs.
55 if he sells the same number of pencials
for Rs. 1.75 per pencil. How many pencils
does Vinod have?
(Indian Bank Rural Marketing Officer Exam.
03.01.2010)
1) 220
2) 240
3) 200
4) Cannot be determined
9. A shopkeeper sells notebooks at the rate of
Rs 45 each and earns a commission of 4%.
He also sells pencil box at the rate of Rs. 80
each and earns a commision of 20%. How
much amount of commission will he earn in
two weeks if he sells 10 notebooks and 6
pencil boxes a day?
(Central Bank Of India PO Exam. 25.07.2010)
1) Rs. 1,956
2) Rs. 1,586
3) Rs. 1,496
4) Rs. 1,596
5) None of these
10. A man sold a wristwatch for Rs. 2,400 at loss
of 25 percent. At what rate should he have
sold the wristwatch to earn a profit of twenty
five percent?
(Bank Of India PO Exam. 31.10.2010)
1) Rs. 3,600
2) Rs. 4,000
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5) None of these
12. Prasad sold his work tools for Rs. 1,850 and
earned a profit of 25 percent. At what price
did prasad buy the work tools?
(Indian Bank PO Exam. 02.01.2011)
1) Rs. 1,360
2) Rs. 1,300
3) Rs. 1,240
4) Rs. 1,480
5) None of these
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17. An Article was purchased for Rs. 78,350. Its
price was marked up by 30%. It was sold at
a discount of 20% on the marked up price.
Then what was the profit percent on the cost
price ?
(IBPS Bank PO/MT CWE. 17.06.2012)
1) 4
2) 7
3) 5
4) 3
5) None of these
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13. Rehman purchased a bike for Rs. 54,000. He
sold it at a loss of 8 percent. With that money
he again purchased another bike and sold it
at profit of 10 percent. What is his overall
loss/profit?
(Corporation Bank PO Exam. 16.01.2011)
1) Loss of Rs. 657 2) Profit of Rs. 567
3) Loss of Rs. 648 4) Profit of Rs. 648
5) None of these
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11. What profit/loss percent did Ravi earn if he
purchased an item of Rs. 5,600 and sold it at
three-fourth of its cost price?
(Oriental Bank Of Commerce PO Exam.
26.12.2010 (1st Sitting))
1) Loss of 20 percent
2) Gain of 25 percent
3) Neither gain nor loss
4) Loss of 15 percent
5) None of these
16. Ramya purchased an item of Rs. 46,000 and
sold it at a loss of 12 percent. With that
amount she purchased another item and sold
it again of 12 percent. Then what was her
overall gain/loss?
(Allahabad Bank PO Exam. 17.04.2011)
1) Loss of Rs. 662.40
2) Proft of Rs. 662.40
3) Loss of Rs. 642.80
4) Profit of Rs. 642.80
5) None of these
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4) Rs. 3,800
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3) Rs. 3,500
5) None of these
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14. Meera purchased an item for Rs. 62,000 and
sold it at a loss of 25 percent. With that
amount she purchased another item and sold
it at a gain of 30 percent. Then what was her
overall gain/loss?
(UCO Bank PO Exam. 30.01.2011)
1) Loss of Rs. 1560 2) Profit of Rs. 1560
3) Loss of Rs. 1550 4) Profit of Rs. 1550
5) None of these
15. Seema purchased an item for Rs. 9,600 and
sold it for a loss of 5 percent. From that
money she purchased another item and sold
it for a gain of 5 percent. Then what is her
overall gain/loss?
(Bank Of Baroda PO Exam. 13.03.2011)
1) Loss of Rs.36
2) Profit of Rs. 24
3) Loss of Rs 54
4) Profit Of Rs. 36
18. A man sells calculator at the rate of Rs. 250
each which includes a profit of 14 percent.
Then what amount of profit will he earn in
19 days if he sells seven calculators per day?
(IDBI Bank PO Exam. 16.09.2012)
1) Rs. 4665 2) Rs. 4565 3) Rs. 4545
4) Rs. 4655 5) None of these
19. Manish bought 25kg of rice at Rs 32 per kg
and 15 kg of rice at Rs. 36 per kg. What
profit did he get when he mixed the two
varities together and sold it at Rs. 40.20 per
kg?
1) 25%
2) 40%
3) 30%
4) 20%
5) None of these
20. Mr. X, a businessman had the income in the
year 1995, such that he earned a profit of
20% on his investment in the business. In the
year 1996 his investment was less by Rs.
5,000 but still had the same income (Income
= Investment + Profit) as that in 1995. Thus
the percent profit earned in 1996 increased
by 6%. Then what was his investment in
1995?
(SBI Bank PO Exam. 11.02.2001)
1) Rs. 1,02,000
2) Rs. 1,50,000
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5) None of these
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27. Profit earned by an organisation is
distributed among officers and clearks in the
ratio 5 : 3 respectively. If the number of
officers is 45 and the number of clerks is 80
and the amount received by each officer is
Rs. 25,000. Then what was the total amount
of profit earned?
(SBI Associate Bank PO Exam. 07.08.2011)
1) Rs. 22 lakhs
2) Rs. 18.25 lakhs
3) Rs. 18 lakhs
4) Rs. 23.25 lakhs
5) None of these
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22. If on selling 12 notebooks any seller makes
a profit equal to the selling price of 4
notebooks, Then what is his percent profit?
(SBI PO exam. 26.11.2006)
2
1) 50
2) 25
3) 16
3
4) Data inadequate
26. The value of machine depreciates at rate of
12 percent per annum. It was purchased
three years ago. Its present value is Rs.
29644.032, then what was the purchase price
of the machine?
(SBI Preliminary (Tire-I) Exam. 27.07.2008)
1) Rs. 48700
2) Rs. 43500
3) Rs. 38900
4) Rs. 39000
5) None of these
n.
21. Mr. Shivakumar started a business investing
Rs. 25,000 in 1996. In 1997 he invsested an
additional amount of Rs. 10,000 and Mr.
Rakesh joined him with an amount of Rs.
35,000. In 1998, Mr. Shivakumar invested
another additional amount of Rs. 10,000 and
Mr. Suresh joined them with an amount of
Rs. 35,000. Then what will be Rakesh’s
share in the profit of Rs. 1,50,000 earned at
the end of three years from the start of the
business in 1996?
(SBI Bank PO Exam. 11.02.2011)
1) Rs. 70,000
2) Rs. 50,000
3) Rs. 45,000
4) Rs. 75,000
5) None of these
(SBI Preliminary (Tire-I) Exam. 27.07.2008)
1) Rs. 797 2) Rs. 787 3) Rs. 767
4) Rs. 757 5) None of these
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4) Data inadequate
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3) Rs. 1,05,000
5) None of these
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23. The profit after selling a pair of trousers for
Rs. 863 is the same as the loss incurred after
selling the same pair of trousers for Rs. 631.
Then what is the cost price of the pair of
trousers?
(SBI Preliminary (Tire-I) Exam. 27.04.2008)
1) Rs. 750 2) Rs. 800 3) Rs. 753
4) Cannot be determined
5) None of these
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24. A trader sells 145 meters of cloth for Rs.
12,325 at the profit of Rs. 10 per meter of
cloth. Then what is the cost price of 1 meter
of cloth?
(SBI Preliminary (Tire-I) Exam. 27.04.2008)
1) Rs. 65
2) Rs. 75
3) Rs. 95
4) Rs. 85
5) None of these
25. The profit earned after selling an article for
Rs. 878 is the same as loss incurred after
selling the article for Rs. 636. Then what is
the cost price of the article?
28. A shopkeeper labelled the price of his
articles so as to earn a profit of 30% on the
cost price. He then sold the articles by
offering a discount of 10% on the labelled
price. Then what is the actual percent profit
earned in the deal?
(SBI Associate Bank PO Exam. 07.08.2011)
1) 18%
2) 15%
3) 20%
4) Cannot be determined
5) None of these
29. By selling 12 marbles for a rupee, a
shopkeeper losses 20%. In order to gain 20%
in the transaction, he should sell the marbles
at the rate of how many marbles for a rupee?
1) 8
2) 6
3) 4
4) 3
5) None of these
30. In a certain store, the profit is 320% of the
cost. If the cost increase by 25% but the
selling
price
remains
constant,
approximately what persentage of the selling
price is the Profit?
1) 30%
2) 70%
3) 100%
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5) None of these
4)
C
2
5) None of these
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34. If selling price is doubled, the profit triples.
Find the profit percent.
2
1
1) 66 %
2) 100%
3) 105 %
3
3
4) 120%
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40. If the cost of 12 pencils is equal to the selling
price of 10 pencils, then the profit percent in
the transaction is?
2
1) 16 %
2) 18%
3) 20 %
3
4) 25%
5) None of these
5) None of these
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35. Vishal goes to shop to buy a radio costing
Rs. 2568. The rate of sales tax is 7%. He tells
the shopkeeper to reduce the price of the
radio to such an extent that he has to pay Rs.
2568, inclusive of sales tax. Find the
reduction needed in the price of the radio?
1) Rs. 179.76
2) Rs. 170
3) Rs. 168
4) Rs. 169
5) None of these
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39. A reduction of 20% in the price of sugar
1
enables a purchaser to obtain 2 kg more
2
for Rs. 160. Find the original price per kg of
the sugar.
1) Rs. 12
2) Rs. 15
3) Rs. 16
4) Rs. 18
5) None of these
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33. A house of costs C rupees. Later it was sold
for a profit of 25%. Then what is the capital
gains tax if it is 50% of the profit?
C
C
C
1)
2)
3)
4
8
24
n.
32. A price of cloth costs Rs. 35. If the length of
the piece would have been 4 m longer and
each Rs.1 less, the cost would have
remained unchanged. How long is the piece?
1) 14 m
2) 10 m
3) 12 m
4) 9 m
5) None of these
38. The sale price of an article including the
sales tax is Rs. 616. The rate of sales tax is
10%. If the shopkeeper has made of a profit
of 12%, then the cost price of the article is?
1) Rs. 500 2) Rs. 515 3) Rs. 550
4) Rs. 600 5) None of these
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31. A horse and carriage together cost Rs. 8000.
If by selling the horse at a profit of 10% and
the carriage at a loss of 10% a total profit of
2.5% is made, then what is the cost price of
the horse?
1) Rs. 3000 2) Rs. 3500 3) Rs. 4000
4) Rs. 5000 5) None of these
2) Rs. 75
3) Rs. 30
5) None of these
1
37. Ravi sells an article at a gain of 12 % . If
2
he had sold it at Rs. 22.50 more, he would
gained 25%. The cost price of the article is?
1) Rs. 162 2) Rs. 140 3) Rs. 196
4) Rs. 180 5) None of these
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1) Rs. 50
4) Rs. 46
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4) 250%
36. A bought 4 bottles of beer and B bought one
bottle of larger, larger per bottle costing
twice that of the beer. C bought nothing but
paid Rs. 50, for his share of the drink which
they mixed together and shared equally. If
C’s Rs. 50 covered his share, then what is the
cost of the larger?
41. Two motor cars were sold for Rs. 9900 each,
gaining 10% on one and losing 10% on the
other. Then the gain or loss percent in the
whole transaction is?
1) neither loss nor gain
100
2) 1% gain 3)
4) 1% loss
%
99
5) None of these
42. By selling a pen at 5% loss and a book at
15% gains the price of 11 m of cloth. His
gain percent is?
1) 7%
2) 50%
3) 20%
4) 22%
5) None of these
43. On selling a pen 5% loss and a book at 15%
gain, Karim gains Rs. 7. If he sells the pen at
5% gain and the book at 10% gain, then he
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Answers
1. (4)
Total weight of the mixture
= 40 + 25 = 65 kg
Total cost price of wheat
= Rs. (40 × 12.50 + 25 × 15.10)
= Rs. (500 + 377.50)
= Rs. 877.50
Total selling price of wheat
877.50 × 110
= Rs.
= Rs. 965.25
100
965.25
= Rs. 14.85
∴ SP per kg = Rs.
65
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45. A man sells an article at 5% profit. If he had
bought it at 5% less and sold it for Rs. 1 less,
he would have gained 10%. The cost price of
the article is?
1) Rs. 200 2) Rs. 150 3) Rs. 250
4) Rs. 240 5) None of these
50. A firm of readymade garments makes both
men’s and women’s shirts. Its average profit
is 6% of the sales. Its profit in men’s shirts
average 8% of the sales and women’s shirts
compise 60% of the output. The average
profit per sales rupee in women’s shirts is?
1) 0.0466
2) 0.0666
3) 0.0166
4) 0.0669
5) None of these
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44. My friend collects antique stamps. She
purchased two, but found that she needed to
raise money urgently. So, she sold them for
Rs. 800 each. On one she made 20% profit
and on the others she lost 20%. How much
did she gain or loss in the entire
transformation?
1) No loss/ profit
2) Rs.667 loss
3) Rs. 667 profit
4) Rs. 658 profit
5) None of these
of the cassette and gave one extra cassette
free with every 29 cassettes bought at a time.
In this manner, he was able to sell all the
3500 cassettes that were produced. If the
market price of a cassette was Rs. 150, then
what is his gain or less percent for the March
issue of video magazine?
1) 25% loss 2) 10% gain 3) 40% gain
4) 6.8 loss 5) None of these
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gains Rs. 13. The actual price of the book
is?
1) Rs. 100 2) Rs. 80
3) Rs. 10
4) Rs. 400 5) None of these
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46. A dairyman pays Rs.6.4 per liter of milk. He
adds water and sells the maximum at Rs. 8
per liter, there by making 37.5% profit. The
proportion of water to milk received by the
customers is?
1) 1: 15
2) 1 : 10
3) 1 : 20
4) 1: 20
5) None of these
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47. The cost price of 20 articles is the same as
the selling price of x articles. If the profit is
25%, then the value of x is?
1) 25
2) 18
3) 16
4) 15
5) None of these
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48. A person had deposited Rs. 13200 in a bank
which pays 14% interest. He withdraws the
money and invests in Rs 100 stock at 15%.
How much does he gain or loss?
1) Loss Rs. 48
2) Gain Rs. 48
3) Loss Rs. 132
4) Gain Rs. 132
5) None of these
49. A video magazine distributor made 3500
copies of the March issue of the magazine at
a cost of Rs 350000. He gave 500 cassettes
free to some key video libraries. He also
allowed a 25% discount on the market price
2. (1)
Let the cost price of the article be Rs. x.
According to the question,
1516 – x = x – 1112
⇒ 2x = 1516 + 1112 = 2628
⇒ x=
2628
= Rs.1314
2
3. (1) Let the CP of the article be Rs. x
According to the question,
1754 – x = x – 1492
⇒ 2x = 1754 + 1492 = 3246
⇒x=
3246
= Rs.1623
2
4. (4)
Let the labelled price of each sari be Rs. x
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According to the question,
120 × 450
90% of x =
100
90 × x 120 × 450
⇒
=
100
100
=
Rs.
(18 + 96) = Rs. 114
10. (2)
C.P. of wristwatch =
100
× S.P
100 − loss%
⎛ 100
⎞
= Rs.⎜
× 2400 ⎟ = Rs. 3200
⎝ 75
⎠
Required S.P. of wristwatch
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5. (1)
Let Vinod have x pencils.
∴ 2.5 × x – 1.75 × x = 110 + 55
∴ 0.75 × x = 165
165
⇒x=
= 200
0.75
m
120 × 450
= Rs.600
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11. (5)
3
S.P = 5600 × = Rs. 4200
4
Loss = 5600 – 4200 = Rs. 1400
Loss
×100
∴ Loss percentage =
Cost Pr ice
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6. (4)
Cost price of 30 kg of wheat = 30 × 45
= Rs. 1350
Total SP for an over all profit of 25%
1350 × 125
=
= Rs.1687.5
100
n.
⎛ 125
⎞
= Rs.⎜
× 3200 ⎟ = Rs. 4000
⎝ 100
⎠
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⇒x=
⎛ 10 × 45 × 4 80 × 20 × 6 ⎞
= Rs. ⎜
+
⎟
100
⎝ 100
⎠
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⎛ 30 × 40 ⎞
SP of 12 kg ⎜
⎟ of wheat
⎝ 100 ⎠
= 12 × 50 = Rs. 600
Expected SP of 18kg of remaining wheat
= 1687.5 – 600 = Rs. 1087.5
Required selling price per kg
1087.5
=
≈ Rs.60
18
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7. (2)
Tricky Approach
Gain percent
348000 − 250000
=
×100 = 39.2 %
250000
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1400
×100 = 25%
5600
12. (4)
C.P =
=
100
× S.P.
100 + Pr ofitPerCent
100
× 1850 = Rs.1480
125
13. (4)
54000 × 92
= Rs.49680
100
110
= Rs. 54648
Second SP = 49680 ×
100
Profit = 54648 – 54000 = Rs. 648
First S.P =
8. (3)
Total CP = Rs. (12000 + 10000) = Rs. 22000
⎛ 12000 × 108 10000 × 88 ⎞
+
Total S.P. = Rs.⎜
⎟
100
100
⎝
⎠
= Rs. (12960 + 8800) = Rs. 21760
∴ Loss = Rs. (22000 – 21760) = Rs. 240
9. (5)
Required amount of commission
=
14. (3)
75 130
×
Last selling price = 62000 ×
100
100
= Rs. 60450
∴ Loss = Rs. (62000 – 60450) = Rs. 1550
15. (5)
First S.P. =
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9600 × 95
= 9120
100
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16. (1)
46000 × 88
= Rs. 40480
100
40480 × 112
= Rs. 45337.6
Second S.P. =
100
∴ Loss = Rs. (46000 – 45337.6) = Rs. 662.4
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First S.P. =
17. (1)
Gain percent
14 ⎞
⎛
Profit on one calculator = Rs. ⎜ 250 ×
⎟
114 ⎠
⎝
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19. (4)
C.P. of 40 kg of mixture
= Rs. [(25 × 32) + (15 × 36)]
= Rs. (800 + 540) = Rs. 1340
S.P. of 40 kg of mixture
= Rs. (40 × 40.2) = Rs. 1608
Profit = Rs. (1608 – 1340) = Rs. 268
268
× 100 = 20%
Pr ofit% =
1340
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7 × 19 × 250 × 14
= Rs.4083
114
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20. (3)
Let the investment in 1995 be Rs. x
Income in 1995 with 20% profit = 1.20 x
Also the income in 1996 = 1.20 x
Investment in 1996 = Rs. (x – 5000)
Profit in 1996 = (20 + 6) = 26%
Income in 1996 with 26% profit
= 1.26 (x – 5000)
1.26 (x – 5000) = 1.20 x
0.06 x = 1.26 × 5000
6300
x=
0.06
x = Rs. 105000
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22. (1)
Profit = Selling price of 4 note books
cost price = selling price 0f (12 – 8)
= 4 note books
4
∴ % Pr ofit = ×100 = 50
8
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18. (5)
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30 × 20 ⎞
⎛
= ⎜ 30 − 20 −
⎟ % = 4%
100 ⎠
⎝
Total profit =
21. (2)
Shivakumar's equivalent capital
= (25000 × 3) + (10000 × 2) + (10000 × 1)
= 105000
Rakesh's equivalent capital
= (35000 × 2) = 70000
Suresh's equivalent capital = (35000 × 1)
= 35000
Total profit of Rs. 150000 will be distributed
in the ratio of their equivalent capitals.
Shivakumar : Rakesh : Suresh
= 105 : 70 : 35
= 3:2:1
Rakesh's share in the total profit
2
=
×150000= Rs. 50000
3 + 2 +1
m
9120 × 105
= Rs. 9576
100
∴ Loss = Rs. (9600 – 9576) = Rs. 24
Second S.P. =
23. (5)
Let the cost price of the trouser be Rs. x
According to the equation,
863 – x = x – 631
⇒ 2x = 863 + 631 = 1494
1494
⇒x=
= Rs.747
2
24. (2)
Cost price of 145 m long cloth
= Rs. (12325 – 145 × 10) = Rs. 10875
∴ CP of 1 metre long cloth
10875
=
= Rs.75
145
25. (4)
Let the C.P of the article be Rs. x
According to the question,
878 – x = x – 636
⇒ 2x = 878 + 636 = 1514
1514
⇒x=
= Rs.757
2
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26. (2)
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⎛ 35 ⎞
∴ (x + 4 )⎜ − 1⎟ = 35
⎝ x
⎠
⇒ ( x + 4)(35 − x ) = 35x
⇒ x 2 + 4 x − 140 = 0
⇒ ( x − 10)( x + 14) = 0
⇒ x = 10 m [ from eq. (i)]
33. (2)
According to question, cost price of house =
Rs. C
C
profit = 25% of C = Rs.
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28. (5)
Let the cost price of the article be Rs. 100
Then labeled price = Rs.130.
SP = Rs.130 – 10% of 130
= Rs.130 – 13 = Rs.117.
Gain = Rs.117 – Rs.100 = Rs.17.
Therefore, gain/profit percent = 17%.
32. (2)
Let the length of the piece be x m
Cost of price = Rs. 35
35
Then, price per metre = Rs.
x
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27. (4)
Profit received by each officer = Rs. 25000
Profit received by each clerk
3
= × 25000 = Rs.15000
5
Total earned profit
= Rs. (45 × 25000 + 80 × 15000)
= Rs. (1125000 + 1200000)
= Rs. 23.25 lakh
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3
12 ⎞
⎛
29644.032 = P ⎜1 −
⎟
⎝ 100 ⎠
⇒ 29644.032 = P × (0.88)3
29644.032
⇒P=
= Rs. 43500
0.88 × 0.88 × 0.88
m
carriage would be Rs. (8000 – x)
SP of horse = 1.1 x
SP of carriage = 0.9 (8000 – x)
∴ 1.1 x × 0.9 (8000 – x)
= 8000 × 1.025 = 8200
⇒ 1.1 x + 7200 – 9x = 8200
⇒ 0.2x = 1000
⇒ x = Rs. 5000
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29. (1)
According to question, SP of 12 marbles
= Rs. 1, loss = 20%
1
= Rs.1.25
CP of 12 marbles = Rs.
0.8
Now, SP of 12 marbles at a gain of 20%
CP × 1.2 = 1.25 × 1.2 = Rs. 1.5
It means in order to gain 20% , he should sell
12 marbles for Rs. 1.5
12
= 8 marbles
Or for Rs. 1, he should sell
1.5
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30. (2)
Let the original cost price be Rs. 100.
Then, profit = Rs. 320 and SP = Rs. 420
New CP = Rs. 125
New profit = Rs. 295
295
× 100 = 70%
Required percentage =
420
31. (4)
Let the CP of horse be Rs. x, then CP of
C
C
Capital gain tax = 5% of 4 = Rs. 8
34. (2)
Let CP be x and SP be y.
Then, profit = ( y – x )
If SP = 2y, then profit = 3 (y – x)
Given 2y – x = 3 (y – x)
⇒ y = 2x
∴ Profit is 100%
35. (3)
Let reduced price of the ratio be Rs. x
x + 7% of x = 2568
7x
⇒ x+
= 2568
100
256800
⇒x=
107
⇒ x = 2400
∴ Reduction needed in the price of radio
= (2568 – 2400) = Rs. 168
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1
12
m
Profit percent
1
1
= 60 × 100 = × 12 × 100 = 20%
1
60
12
∴ Marked price = Rs. 130
130 × 90
∴ S.P. of the article =
100
= Rs. 117
∴ Actual gain per cent = 17
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A reduction of 20% means, now a person
5
gets kg for Rs. 32 and this is the present
2
price of that commodity.
32
∴ Present price per kg = × 2= Rs. 12.8
5
Let the original price be Rs.x, then new
price is arrived after reduction 20% of it.
∴ x × 0.8 = 12.8
⇒ x = Rs. 16
Then, CP of 1 pencil = Rs
1 1
2
1
− =
= Rs
10 12 120
60
41. (4)
According to question, where SP is same
and also gain % and loss % is same there is
always a loss and such loss %
39. (3)
According to question
purchasing capacity = Rs. 160
40. (3)
Let CP of 12 pencils
= SP of 10 pencils = Rs. 1
∴ Profit =
1
10
n.
37. (4)
Let the CP of the article be Rs. 100.
1
SP at a gain of 12 %
2
= 100 × 1.125 = Rs. 112.50
SP at a gain of 25% = Rs. 125
If SP is Rs. 12.5 more than CP = 100
If SP Rs. 22.50 more CP
100
=
× 22.5 = Rs.180
12.5
38. (1)
Let the CP of the article be Rs. x
Then, SP = x × 1.12 × 1.1
Given, x × 1.12 × 1.1 = 616
616
⇒x=
= Rs.500
1.232
and SP of 1 pencil = Rs
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36. (1)
According to question, total amount spent by
them = Rs. 150
Let the cost of one beer be x, then the cost of
one larger will be 2x.
Total money spent on beer and larger
= (4x + 2x)
150
∴ 6 x = 150 ⇒ x =
= 25
6
∴ The cost of the larger = 25 × 2 = Rs. 50
2
2
⎛ Common Gain (or) Loss% ⎞ ⎛ 10 ⎞
⎜
⎟ =⎜ ⎟
10
⎝
⎠ ⎝ 10 ⎠
= 1% loss
42. (2)
SP of 33 m of cloth = CP of 33 m + gain
SP of 33 m = CP of 33 m + SP of 11m
⇒ SP of 22 m = CP of 33
m = 1 (say)
1
1
CP of 1m =
⇒ SP of 1 m =
33
22
1
1
11
−
=
Gain =
22 33 22 × 33
11
22 × 33 ×100
Gain percent = =
1
33
11
=
× 33 ×100 = 50%
22 × 33
43. (2)
Let the CP of the pen and book
be Rs. x and Rs. y respectively.
∴ 0.95 x + 1.15 y = (x + y) + 7
⇒ 0.15 y − 0.05 x = 7 ........ (i)
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49. (4)
According to question, CP of 3500 cassettes
= Rs. 350000
The SP of one cassette after discount is Rs.
112.50
SP of each set of 30 cassettes (29 + 1)
= Rs. 29 × 112.50 = Rs. 3262.50
∴ SP of 3500 cassettes including 500 free
cassettes = Rs. 326250
∴ Overall loss on Rs. 350000 is Rs. 23750
23750
∴ Loss per cent =
× 100 = 6.8%
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45. (1)
Let the CP of the article be Rs. 100
Then, SP = Rs. 105
Now CP = Rs. 95
New SP = Rs. 104.5
If he sells it for Rs. 0.5 less than CP = Rs.
100
If he sells it for Rs. 1 less than CP
100
=
× 1 = Rs.200
0.5
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44. (2)
According to question, CP of stamp sold at a
profit of 20%
80000 20000
=
=
= 6666.66
12
3
CP of stamp sold at a loss of 20%
8000
=
= 10000
0.8
Total SP 6666.66 + 10000 = 16666.66
Total SP = 2 × 8000 = Rs. 16000
Loss = 16666.66 – 1600 = Rs. 667
1 1
−
20 = 25
x
Profit percent =
1
100
20
20 − x 1
⇒
=
x
4
⇒ 80 − 4x = x ⇒ 5x = 80
⇒ x = 16
48. (1)
According to question, Interest earned on
Rs. 13200 @ 14% = Rs. 1848.
∴ Number of shares purchased
13200
=
= 120
110
Dividend earned by him on 120 shares Rs.
15 per share = Rs. 1800
∴ Net loss = Rs. 48
ca
and 1.05 x + 1.1 y = (x + y) + 13
⇒ 0.05x + 0.1y = 13 .......... (ii)
Solving Eqs. (i) and (ii), we get y = Rs. 80
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46. (2)
Let the quantity of milk purchase be x and
quantity of water added be y.
Then, ratio of water to milk be y : x.
CP = 6.4 x
SP = 8 (x + y)
Profit per cent = 37.5%
∴ 8 (x + y) = 6.4 x × 1.375
⇒ 8 x + 8 y = 8.8 x
⇒ 8 y = 0.8 x
x 80 10
⇒ =
=
y 8
1
⇒ y : x = 1 : 10
47. (3)
According to question, CP of 20 articles =
SP of x articles = 1 (say)
1
1
∴ CP of 1 articles
SP of 1 articles
2
x
50. (1)
According to the question, women's shirts
comprise 60% of the output.
∴ Men's shirts comprise 40% of the output.
∴ Average profit from men's shirts
= 8% of 40
= 3.2 out of 40
Overll average profit = 6 out of 100
Average profit from women's shirts = 2.8 out
of 60,
i.e., 0.0466 out of each shirt.
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