Multiple choice

In a bag there are coins of $50$ paise, $25$ paise and one rupee in the ratio of $5 : 6 : 2$. If there are in all $Rs. 42$, the number of $25$ paise coins is

  1. $32$
  2. $42$
  3. $52$
  4. $60$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Coins: 5x (0.5), 6x (0.25), 2x (1.0). Total value: 2.5x + 1.5x + 2x = 6x. 6x = 42, x = 7. Number of 25 paise coins = 6x = 6*7 = 42.

AI explanation

Let the number of 50 paise, 25 paise, and 1 rupee coins be 5x, 6x, and 2x respectively. Their total value in rupees is (5x * 0.50) + (6x * 0.25) + (2x * 1) = 2.5x + 1.5x + 2x = 6x. Setting this equal to the total amount gives 6x = 42, so x = 7. The number of 25 paise coins is 6x = 6 * 7 = 42. The number of 25 paise coins is 42.