SSC GD 2023 PYQ — Question 49

The correct answer is Option 1 i.e. 150.

615 coins consist of 1 Rs, 50 paise and 25 paise coins.

Their values are in the ratio of 3 : 5 : 7.

Let the number of coins of 1 Rs, 50 Paise, and 25 Paise be M, N, and P respectively

⇒ M + N + P = 615

Also,

100M ∶ 50N ∶ 25P = 3 ∶ 5 ∶ 7

Let,

M ∶ N ∶ P = K

Then,

M = 3K/100, N = 5K/50, P = 7K/25

According to the question,

(3K/100) + (5K/50) + (7K/25) = 615

⇒ 3K + 10K + 28K = 61500

⇒ 41K = 61500

K = 1500 

Number of 50 Paise coins = 5K/50 = (1500 × 5)/50 = 150

Hence, the number of 50 paise coins is 150.