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

**Answer: D**

**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

**Answer: C**

**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**Answer: C****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**Answer: B****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

**Answer: C**

**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

**Answer: D**

**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

Answer: B

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****Hyderabad**

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