Ratio proportion & Mixture
Ratio Proportion & Mixture
Ques.4)
A and B enter in a partnership with their capitals in the ratio of 7:9. At the end of 8 months, A withdrawn
his capital. If they received the profits in the ratio 8:9, find how long B’s capital was used?

a.
9 Month

b.
6 Month

c.
8 Month

d.
7 Month
L&T Infotech
Ques.5)
A students gets an aggregate of 60% mark in five subject in the ratio 10:9:8:7:6. If the passing marks are
50% of the maximum mark and each subject has the same maximum mark, in how many subjects did he
pass the examination?

a.
2

b.
3

c.
4

d.
5
Ques.9)
A, B and C are partners, A receive 2/5 of profit and B and C share the remaining profit equally. A’s
income increased by Rs.220 when the profit rises from 8% to 10%. Find the capital invested by A, B and
C

a.
8200

b.
8025

c.
8250

d.
8520
Tech . Mahindra
Ques.10)
In what proportion 3 kinds of wheat at Rs.1.27, Rs.1.29 and Rs.1.32 per kg be mixed to produced a
mixture worth Rs.1.30 per kg?

a.
2:2:3

b.
1:1:2

c.
1:2:1

d.
1:2:3
ues.12)
Two partner invest Rs.125000 & Rs.85000 respectively in a business and agree that 60% of the profit
should be divide equally between them and the remaining profit is to be treated as interest on capital. If
one partner gets Rs.300 more than the other, find the total profit made in the business.

a.
Rs. 6150

b.
Rs. 5150

c.
Rs. 7150

d.
Rs. 2150
Ques.1)
A, B and C started a business with their investment in the ratio 1:2:4. After 6 months A invested the half
amount more as before and B invested twice the amount as before while C withdraw (1/4) th of his
investments. Find the ratio of their profits at the end of the year

a.
14:12:5

b.
5:12:14

c.
6:7:8

d.
6:13:15
Ques.14)
A started a business with Rs.52000 and after 4 months B joined him with Rs.39000. At the end of the
year, out of the total profits B received total Rs.20000 including 25% of the profits as commission for
managing the business. What amount did A receive?

a.
Rs. 25000

b.
Rs. 29000

c.
Rs. 15000

d.
Rs. 20000
Ques.15)
In what ratio must a person mix three kinds of tea costing Rs.60 per kg, Rs.75 per kg and 100 per kg. So
that the resultant mixture when sold at Rs.96 per kg yields a profit of 20%?

a.
1:2:4

b.
3:7:6

c.
1:4:2

d.
None
Review again Close Try another sheet
You have scored 60% marks, 9 correct, 6 wrong
Solution:
The
resultant
i.e.
Let
The
mixture
1.2
the
Hence
(cost)
varities
three
mean
the
following
is
sold
=
be
A,
price
method
should
Rs.96
B,
be
Step
1. Find
out
the
ratio
Step
2. Find
out
the
ratio
Step 3. QC, the
resultant ratio of variety c
at
=>
and
falls
used
can be
a
Cost
=
costing
Rs.60,
between
C
to
profit
find
the
ratio
in
of
20%
=
Rs.75
B
Rs.80
and
Rs.100
and
which
they
kg.
respectively.
C.
1 and step 2 =
1 +
QC using
alligation
rule
of
QB :
QC using
alligation
rule
of Q C in step
/
be
QA :
value
Rs.96/kg
should
of
found by adding the
at
mixed.
1 =
2.
However, in CAT if you try and solve the problem using the above method, you will end up spending more than 2, and may be 3 minutes on this problem, which
is
a
criminal
mismanagement
of
time.
The best way to solve a problem of this kind in CAT is to go from the answer choices as shown below
The
resultant
ratio
QA :
1 kg of variety A at Rs.60 is mixed
The
total cost
for the
7 kgs
=
Cost per kg of the mixture = 560/7 = 80 kgs.
with 4
60 +
QB :
kgs
(4
QC ::
of
*
1
:
4
:
2.
variety B at Rs.75 and 2 kgs of variety C at Rs.100.
75) +
(2
* 100) =
60 +300 +
200 =
560.
Ratio proportion & Mixture
Ratio Proportion & Mixture
Ques.1)
A milkman has two types of milk. In the first container the percentage of milk is 80% and in the second
container the percentage of milk is 60%. If the mixed 28 liters of milk of the first container to the 32 liters
of milk of the second container, then the percentage of milk in the mixture is:

a.
63.99

b.
69.33

c.
72.5

d.
75.2
Ques.2)
Modern electronic shop sold 30% hardware at the profit of 50% and 90% software at the profit of 10%.
The average profit percentage of the modern electronic shop is, if it sells only these two kinds of things.

a.
15

b.
20

c.
25

d.
45
CTS
Ques.7)
Some amount out of Rs.6000/- was lent out at 10% p.a and rest of the amount @ 20% p.a. and thus in 4
years the total interest from both the amounts collected was Rs.3400/-. What was the amount which was
@ 10% p.a.

a.
2500

b.
2800

c.
3200

d.
3500
Ques.15)
Suresh purchased two different kinds of alcohol. In the first mixture the ratio of alcohol is 5:6. If he mixes
the two given mixtures and makes a third mixture of 18 liters in which the ratio of alcohol to water is 4:5,
the quantity of first mixture (whose ratio is 3:4) is required to make the 8 liters of the third kind of mixture
is

a.
6

b.
7

c.
8

d.
9
Ques.11)
The cost of diamond varies directly as the square of its weight. Ones this diamond broke into four piece
with weight in the ratio 1 : 2: 3: 4. When the pieces were sold, the merchant was got 70 thousands less,
find the original price of diamond.

a.
1.4 lakhs

b.
2 lakhs

c.
1 lakhs

d.
2.1 lakhs
Ques.13)
Sachin bright 1.5 kg grapes. The ratio of water is to pulp was 4:1. When his naughty child crushed these
grapes, then some water gets wasted. Now the ratio of water is to pulp is 3:2. What is the total amount of
the crushed grapes?

a.
0.5 kg

b.
1 kg

c.
0.75 kg

d.
None
Ques.15)
The average age of all the 100 employees in an office is 29 years, where 2/5 employee are ladies and the
ratio of average age of men to women in 5:7. The average age of female employee is:

a.
18 years

b.
35 years

c.
25 years

d.
None
Total Questions: 20 Time Left: 0:01
CTS
Ques.18)
The average weight of a group with 60 members is 60 units. The ratio of number of men to women is 3:2
and the ratio of the average weight of women to men is 3:5. What is the average weight of the men?

a.
300/7

b.
100/7

c.
500/7

d.
360/7
Ratio proportion & Mixture
Ratio Proportion & Mixture
Total Questions: 15 Time Left: 4:49
Ques.1)
The cost of a precious stone varies directly the square root of its weight. A stone broke into 3 pieces
whose weights are in the ratio 1:4:4. As a result, its value went up by Rs.12000 Find its initial value in Rs.

a.
9000

b.
12000

c.
15000

d.
18000
ues.3)
Find x:y:z, if 2x+y-5z = 0 and 3x-2y-4z = 0.

a.
1:2:1

b.
1:1:1

c.
1:1:2

d.
2:1:1
CTS
Ques.4)
The distance travelled by a freely falling body is directly proportional to the square of the time for which it
falls. A body fell 95 m in the 10th second. Find the distance (in m) it fell in the 14th second.

a.
54

b.
116.5

c.
108

d.
135
TCS
Ques.7)
A writer gets a fixed amount for his book apart from the royalty that he gets per book sold. He gets Rs.
30000 and Rs.50000 for 1000 and 2000 books sold respectively. What is his income per book, if 5000
books are sold?

a.
Rs.17

b.
Rs.20

c.
Rs.21

d.
Rs.22
Ques.9)
78 is divided into two parts such that five times the first part and four times the second part are in the ratio
15:14. Find the first part.

a.
32

b.
36

c.
42

d.
46
Ques.11)
If it takes 16 days for 24 men to plough 15 acres of land, then how many days would be required by 32
men to plough 30 acres of land ?

a.
24

b.
50

c.
100

d.
200
Ques.12)
The ratio of the present ages of a man and his wife is 5 : 4. Which of the following can’t be a possible
ratio of their age 20 years ago?

a.
7:5

b.
3:2

c.
13:10

d.
6:5
Ques.13)
There are two numbers in the ratio P : Q. When 1 is subtracted from both numerator and denominator it
becomes 2. Which of the following can be the sum of the P and Q?

a.
8

b.
9

c.
12

d.
16
Ques.15)
If a/b = c/d, then the value which of the following is equal to the value of (a 2+b2)/(c2+d2)?

a.
1/2

b.
(a+b)/(c+d)

c.
ab/cd

d.
(a-b)/(c-d)