**Ratio and Proportion Practice Set 1:**

1. The ratio of the present ages of Sunita and Vinita is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their age 12 years hence?

(a) 15:19

(b) 13:15

(c) 16:19

(d) 17:19

**Answer: (c) 16:19**

**Explanation:**

(4x + 6)/(5x + 6) = (14/17)

68x + 102 = 70x + 84

2x = 18

x = 9

Ratio of ages of Sunita and Vinita after 12 years

= 4x + 12 : 5x + 12

= 36 + 12 : 45 + 12

= 48 : 57 = 16 : 19

2. The ratio of number of students taking admission in organization X and Y was 5:8. If 20% of students exceed in organization X and 10% of students exceeds in organization Y, then new ratio of students is?

(a) 15:22

(b) 15:16

(c) 5:4

(d) 5:7

**Answer: (a) 15:22**

**Explanation:**

Let the number of students in organization X be 5x and that in organization Y be 8x.

New number of students in organization X

= (120/100) * 5x = 6x

New number of students in organization Y

= (110 x 8x)/100 = 8.8x

6x : 8.8x = 60 : 18 = 15 : 22

3. The number of employees shed through voluntary retirement in company A was 23,000 and that in company B was 6,325. What is the ratio of employees retired voluntarily from company A to that retired from company B?

(a) 40:11

(b) 10:11

(c) 11:10

(d) 11:40

**Answer: 40:11**

**Explanation:**

= (23000/6325) = 40/11

4. The monthly salary of Preeti is Rs. 20,000 which Rs. 2000 less than the salary of Meeta. What is ratio between the salary of Preeti and Meeta respectively?

(a) 11:10

(b) 9:10

(c) 10:9

(d) 10:11

**Answer: (d) 10:11**

**Explanation:**

= 20,000 + 2000 = 22,000

= 20000/22000 = 10:11

5. The ratio between boys and girls in a school is 4:6 respectively. If the number of boys increased by 200 the ratio becomes 5:6 respectively. How many girls are there in the school?

(a) 1200

(b) 800

(c) 1000

(d) None of these

**Answer: (a) 1200**

**Explanation:**

(4x + 200)/(6x) = 5/6

5x = 4x + 200

x = 200

So, the number of girls = 6x = 6 * 200 = 1200.

6. An amount of money is to be distributed money P, Q and R in the ratio 3:5:6. If R gets Rs.400 more than Q, what is the difference between P and Q share?

(a) Rs. 1200

(b) Rs. 800

(c) Rs. 1600

(d) None of these

**Answer: (b) Rs. 800**

**Explanation:**

P : Q : R = 3 : 5 : 6

R – Q = 6 – 5 = 1 = 400

Q – P = 5 – 3 = 2 = 800

7. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

(a) 2:5

(b) 3:7

(c) 5:3

(d) 7:3

**Answer: (c) 5:3**

**Explanation:**

40% of A = (2/3)B, then (40A/100) = (2B/3)

(2A/5) = (2B/3)

(A/B) = (2/3) * (5/2) = 5/3

8. In a mixture of 60 litres, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quantity of water to be further added is?

(a) 20 litres

(b) 30 litres

(c) 40 litres

(d) 60 litres

**Answer: 60 litres**

**Explanation:**

Quantity of milk = 60 x (2/3) = 40 litres.

Quantity of water in it = (60 – 40) = 20 litres.

Then the new ratio is = 1: 2

The quantity of water to be added further be x liters.

Milk : Water = 40/(20 + x) = ½

= 20 + x = 80

x = 60.

9. The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?

(a) 8:9

(b) 17:18

(c) 21:22

(d) None of these

**Answer: (C) 21:22**

**Explanation:**

(120/100) * 7x and (110/100) * 8x = (42x/5) and (44x/5)

= 21 : 22

10. If A:B = 8:15, B:C = 5:8 and C:D = 4:5 then A:D is equal to

(a) 2:7

(b) 4:15

(c) 8:15

(d) 15:4

**Answer: 4:15**

**Explanation:**

(A/D) = (A/B) * (B/C) * (C/D)

(8/15) * (5/8) * (4/5) = 4/15.