Question 1

If 2A = 3B = 4C , then A : B : C is?

Accepted Answer

Let 2A = 3B = 4C = x Then A = x/2, B = x/3 and C = x/4 ∴ A : B : C = x/2 : x/3 : x/4 Hence A : B : C = 6 : 4 : 3

Question 2

If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : D is equal to?

Accepted Answer

∵ A/D = (A/B) x (B/C) x (C/D) = (2/3) x (4/5) x (6/7) = 16/35 ∴ A : D = 16 : 35

Question 3

If A = B/3 and B = C/2, then A : B : C is?

Accepted Answer

Let A = x Then B = 3x, C = 2B = 6x &there4 A : B : C = x : 3x : 6x = 1 : 3 : 6

Question 4

If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is?

Accepted Answer

L.C.M. of 7 and 6 is 42 ∴ A : B = 5 : 7 = 30 : 42 and B : C = 6 : 11 = 42 : 77 Hence A : B : C = 30 : 42 : 77

Question 5

If A : B = 7 : 9 and B : C = 3 : 5 then A : B : C is?

Accepted Answer

A : B = 7 and B : C = 3 : 5 = 9 : 15 ∴ A : B : C = 7 : 9 : 15

Question 6

0.6 of a number equals 0.09 of another number. The ratio of the number is?

Accepted Answer

0.6 x a = 0.09 x b ∴ a/b = 0.09 / 0.06 = 9 / 60 = 3 / 20 = 3 : 20

Question 7

If 10% of A is the same as 20% of B then A : B is equal to?

Accepted Answer

10% of A = 20% of B ⇒ 10/100 x A = 20/100 x B ⇒ A/10 = B/5 ∴ A/B = 10/5 = 2 Hence, A : B = 2 : 1

Question 8

If A : B = 2 : 3 and B : C =4 : 5, then C : A is equal to?

Accepted Answer

A/B = 2/3 and B/C = 4/5 ∴ A/C = (A/B) x (B/C) = (2/3) x (4/5) = (8/15) So, C : A = 15 : 8

Question 9

The proportion of Zinc and Copper in a brass piece is 13 : 7. How much zinc will be there in 100 kg of such a piece?

Accepted Answer

∵ 20 kg of brass contains zinc = 13 kg ∴ 100 kg of brass contains zinc = (13/20) x 100 kg. = 65 kg.

Question 10

One-fourth of the boys and three-eight of the girls in a school participated in the annual sports. What proportional part of the total student population of the school participated in the annual sports?

Accepted Answer

Data inadequate

Question 11

Rs. 1050 is divided among P, Q and R. The share of P is 2/5 of the combined share of Q and R. Thus P gets?

Accepted Answer

∵ P : (Q + R) = 2 : 5 ∴ p's share = Rs. 1050 x (2/7) = Rs. 300

Question 12

Rs. 385 has been divided among A, B, C in such a way that A receives 2/9th of what B and C together receive. Then A's share is?

Accepted Answer

A : (B + C) = 2 : 9 ∴ A's share = Rs. (385 x 2/11) = Rs. 70

Question 13

The speed of three cars are in the ratio 3 : 4 : 5. The ratio between times taken by them to travel the same distance is?

Accepted Answer

Ratio of time taken = 1/3 : 1/4 : 1/5 = 20 : 15 : 12

Question 14

The cost of making an article is divided between materials, labour and overheads in the ratio 3 : 4 : 1. If the materials cost Rs. 67.50, the cost of article is?

Accepted Answer

If material cost Rs. 3, the cost of the article is = Rs. ( 3 + 4 + 1) = Rs. 8 If material cost Rs. 67.50, the cost of the article = Rs. (8/3 x 67.5) = Rs. 180

Question 15

A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is?

Accepted Answer

Let the heights of the cylinder and cone be h and H respectively. ∵ πr2h = πr2H / 3 ⇒ h/H = 1/3 ∴ h : H = 1 : 3. So their heights are in the ratio 1 : 3.

Question 16

If 3/4th of the employees in a super market are not college graduates What is the ratio of the number of college graduates to those who are not college graduates?

Accepted Answer

Of every 4 employees, 1 is college graduate and 3 are not college graduates. ∴ The required ration = 1 : 3

Question 17

The strength of a school is 840. The ratio of the number of students talking English to the number of students not talking English is 4 : 3. How many of the students take English?

Accepted Answer

The number of students talking English = 4/(4 + 3) x 840 = 480

Question 18

A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1 : 2 : 3 . If their total value is ₹ 60, then the number of 5 paise coins is?

Accepted Answer

Let the number of 25 paise, 10 paise and 5 paise coins be N, 2N and 3N, respectively. Then , N + 2N + 3N = 60 ⇒ N = 10 ∴ The number of 5 paise coins = 3 x 10 = 30

Question 19

Some money is divided amongst three workers A, B and C such that 5 times A's share is equal to 12 times B's share which is equal to 6 times C's share. The ratio between the shares of A, B and C is?

Accepted Answer

Let 5A = 12B = 6C = k Then, A = k/5, B = k/12 and C = k/6 ∴ A : B : C = k/5 : k/12 : k/6 = 12 : 5 : 10

Question 20

₹ 750 is distributed among A, B and C such that A : B = 5 : 2, B : C = 7 : 13, then what is A's part?

Accepted Answer

A : B = 5 : 2 = 5/2 : 1, B : C = 7 : 13 = 1 : 13/7 A : B : C = 5/2 : 1 : 13/7 = 35 : 14 : 26 ∴ A's part = 750 x 35/75 = ₹ 350

Ratio and Proportion Questions