# Sample Ratio and Proportion Questions for SI Exam Posted: Posted Date – 11:00 PM, Thu – 21 Apr 22

By Ravipal Reddy Band

Hyderabad: This article follows the last article on the preparation for the police sub-inspector recruitment competition. Here are some practical questions and answers as well as solutions on the subject Ratio and proportion.

1. If Rs. 782 is divided into three parts, proportional to : : , then the first part is:
R.Rs.182 B.Rs.190 C.Rs.196 DR 204

Solution:

Report given = : :
Multiply the ratio by 12 (lcm of denominators)
=6:8:9
So 1st part == 6×34 = Rs 204

2. Rs.700 is divided between A, B and C so that A gets half from B and B gets half from C. Then C’s share is:

A.Rs.200 B.Rs.300 C.Rs.400 D.Rs.600
Ans:C

Solution:
Let the share of C = Rs. X. Then

Share of B = Rs. x/2

And, the share of A = Rs. x/4
A:B:C =

Multiply the ratio by 4, we get A:B:C=1:2:4

Total units = 1 2 4 = 7 units = Rs.700
1 unit = 100

Therefore, the share of C = Rs.(100×4) = Rs.400

3. If 2A = 3B = 4C. So A:B:C=?
A.2:3:4 B.4:3:2 C.6:4:3 D.3:4:6

Solution:

Let 2A = 3B = 4C = K
Then
A:B:C==
A:B:C=6:4:3

4. A bag contains 20p, 25p and 50p coins in the ratio of 1:2:3. The total amount in the bag is Rs 220. Find the number of coins of each type?
A.40, 80, 120 B.50, 100, 150 C.100, 200, 300
D.200, 400, 800
Solution:
Let ratio ‘x’

Hence the number of pieces be x, 2x, 3x
(.20)(x) (.25) (2x) (.50) (3x) = 220

2.2x= 220

X=100

Then 100 200 300
5. In a 100 liter mixture, the milk to water ratio is 3:1. If this ratio is to be 1:1, the amount of water to add is
A. 25 liters B. 50 liters C. 75 liters D. 125 liters
Solution:

Milk in 100 liters of mixture = 100 x

= 75 liters

Water in the mixture = (100-75)
=25 liters
Let xl of water be added to it.

=1

X= 50 liters
6. Two numbers are there in the ratio 2:3. After subtracting 6 from the two numbers, its ratio will become 5:8. So find the initial numbers?

A.20, 30 B.24, 36 C.36, 54 D.36, 48

Solution:

Since 6 subtracts from the two numbers
=
16x-48=15x-30
X= 18
So the initial numbers are 36, 54
7. The places in mathematics, physics and biology in a school are in the report
5:7:8. It is proposed to increase these seats by 40%, 50% and 75% respectively. What will be the seat increase ratio?
A.2:3:4 B.6:7:8 C.6:8:9 D.6:7:9
Respond to
Solution:
Given that

140% of 5x: 150% of 7x: 175% of 8x

::
14x: 21x: 28x
2:3:4

8. The ratio of the number of boys and girls in a middle school is 7:8. If the percentage increase in the number of boys and girls is 20% and 10% respectively, what will be the new ratio?

A) 8:9 B) 17:18

C) 21:22 D) Cannot be determined

Ans:C

Solution:
Let the number of boys and girls in the college be 7x: 8x

120% of 7x: 110% of 8x
:

Then the ratio required is 21:22

9. Ravi and Sumit’s salaries are in the ratio of 2:3. If each’s salary is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit’s current salary?

AR 17,000 BR 20,000 CR 25,500

DR 38,000

Solution:

Let the salaries of Ravi and Sumit be 2x and 3x respectively
Clearly since their salaries are increased by Rs 4000
=
57(2x 4000) = 40(3x 4000)
3x=34000
Sum=3x 4000

=Rs 38000

10. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and the ratio of the second to the third is 5:8, then the second number is:

A.20 B.30 C.48 D.58
Solution:
Let A:B=2:3

B: C=5:8

A:B:C=(2X5:5X3:3X8)

A:B:C=10:15:24
B=98X=30

Director, Sigma
Sai Institute of General Mental Ability

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