BANKER FOUNDATION BATCH
PERCENTAGE
1.
A retailer reduced the price of sugar by 33.33%. By
this a consumer can buy 8 kg more sugar for Rs
2160. The reduced price per kg of sugar is:
(1) Rs 30 per kg
(2) Rs 100 per kg
(3) Rs 90 per kg
(4) Rs 120 per kg
(5) None of these
2.
The price of milk is reduced by 44.44%. Now a
person can buy 1600 ml more milk for Rs 592.20.
The original price of the milk per litre was:
(1) Rs 296.1 per li
(2) Rs 265.5 per li
(3) Rs 216.5 per li
(4) Rs 209.5 per li
(5) None of these
3.
Due to an increase of
in the price of onions,
1 kg less onions are available for Rs 273. The present
rate of onions per dozen is: (It is given that 8 onions
= 1 kg)
(1) Rs 42
(2) Rs 81
(3) Rs 63
(4) Rs 72
(5) None of these
4.
The price of wheat is increased by 2x%. As a result,
a family has decreased its consumption by 2x%. If
the expenditure of the family on wheat is decreased
by 16%, then find value of x.
(1) 10
(2) 25
(3) 20
(4) 5
(5) 40
5.
Riya requires (x - 8)% to pass. She gets 98 marks
and falls short by 10 marks. If the maximum marks
she could have got is 300, then find the value of x.
(1) 20
(2) 40
(3) 36
(4) 44
(5) 32
DPP 05
6.
In an examination, a student must get (x + 8)%
marks to pass. A student who gets 40% marks failed
by 24 marks. If the total marks in that examination is
600, then find 55.55% of x.
(1) 10
(2) 30
(3) 40
(4) 20
(5) None of these
7.
In an examination Barkha got 25% marks more than
Riya, Riya got 10% less than Sushma and Sushma
got 25% more than Neelam. If Neelam got 96 marks
out of 150, the marks obtained by Barkha were:
(1) 121.5
(2) 135
(3) 108
(4) 120
(5) 142
8.
Devbrat scored 30% marks and failed by 75 marks
Shreekar scored 40% marks and obtained 150 marks
more than those required to pass. The pass
percentage is:
(1) 47.6%
(2) 25%
(3) 33.33%
(4) 42.84%
(5) None of these
9.
Two candidates fought an election. One of them got
68% of the total votes and won by 1296 votes. What
is the total number of votes polled?
(1) 3000
(2) 3200
(3) 3600
(4) Cannot be determined
(5) None of these
10.
In a chair person election of a colony, Mr. David got
65 % of the total valid votes. 15 % of the total votes
were declared invalid. If the total number of votes is
4000, find the number of valid votes polled in favour
of Ramprasad.
(1) 2220
(2) 2210
(3) 3250
(4) 1210
(5) None of these
Answer Key
1.
2.
3.
4.
5.
(3)
(1)
(3)
(3)
(4)
6.
7.
8.
9.
10.
(4)
(2)
(3)
(3)
(2)
Hints & Solutions
1.
Solution (3)
Rs 90 per kg
Let initially he was getting y kg.
According to the question,
13xy = 15x(y – 1)
13y = 15y – 15
y = 7.5 kg
33.33% =
Let original price of sugar was Rs 3x per kg.
Reduced price= Rs 2x per kg
Let initially he was getting y kg.
Now he is getting (y + 8) kg
According to the question,
3xy = 2x(y + 8)
3y = 2y + 16
y = 16
So, 3xy = 2160
Original price of onion =
= 36.4 Rs per kg
Increased price =
= 42 Rs per kg
So, price of 1 dozen onion
= 63
3x =
x=
= 135
= 45
So, reduced price = 2x = 2 × 45 = 90 rupees per kg
2.
Solution (1)
4.
Solution (3)
Let price of wheat initially = 100a rupee per kg
and consumption of wheat = b kg
∴ Expenditure = 100ab rupee
∴ % decrease in expenditure
44.44% =
Let original price of milk was Rs 9x per li.
Reduced price= Rs 5x per li
Let initially he was getting y li.
Now he is getting (y + 1.6) li
According to the question,
9xy = 5x(y + 1.6)
9y = 5y + 8
4y = 8
y=2
So, 9xy = 592.2
9x =
3.
= 296.1
Solution (3)
Let original price was Rs 13x per kg
New price = 15x per kg
1600 = 10000 – (100 + 2x)(100 – 2x)
4x2 = 1600
x2 = 400
x = 20
5.
Solution (4)
Riya had scored 10 marks more, she could have
scored (x – 8)%.
Now, 10 marks more than 98 marks.
Therefore, 98 + 10 = 108
maximum marks = 300
According to the question,
(x – 8)% of 300 = 108
⇒ (x – 8) × 3 = 108
⇒ (x – 8) =
⇒ x = 36 + 8 = 44
= 33.33%
6.
Solution (4)
9.
40% =
As per the given information, we get
40% of 600 + 24 = (x + 8)% of 600
240 + 24 = 6(x + 8)
264 = 6(x + 8)
x + 8 = 44
x = 36
Required answer = 55.55% of 36 =
= 36
Required answer = 3600
10.
Solution (2)
Total number of invalid votes = 15 % of 4000
= 15/100 × 4000
= 600
Total number of valid votes polled = 4000 - 600
= 3400
Percentage of valid votes polled in favour of the
candidate = 65 %
Therefore, Number of valid votes polled in favour
of the candidate = 65 % of 3400
=4×5
= 20
Solution (2)
Marks of Barkha
= 135
8.
x=
× 36
= 36 ×
7.
Solution (3)
Winner got 68% votes
So, loser will get (100 – 68) = 32% votes.
Let total votes be 100x.
So,
68% of 100x – 32% of 100x = 1296
68x – 32x = 1296
36x = 1296
Solution (3)
Let maximum marks be 100x
According to the question,
30% of 100x + 75 = 40% of 100x – 150
30x + 75 = 40x – 150
10x = 225
Maximum marks = 2250
Passing marks = 30% of 2250 + 75
= 675 + 75 = 750
=
× 3400 = 2210 votes
Therefore, the number of valid votes polled in
favour of the candidate is 2210.
Required percentage =
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