Multiple choice

Ramesh has a bag that contains 25 p, 50 p and Re. 1 coins, in the ratio 4 : 6 : 5. If the total amount inside the bag is Rs. 72, then how many more 50 p coins are there in the bag than 25 p coins?

  1. 8

  2. 14

  3. 16

  4. 18

  5. 80
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of coins be 4k, 6k, and 5k. The total value is 0.25(4k) + 0.50(6k) + 1.00(5k) = 1k + 3k + 5k = 9k. Since 9k = 72, k = 8. The number of 50p coins is 6 * 8 = 48, and 25p coins is 4 * 8 = 32. The difference is 48 - 32 = 16.

AI explanation

Let the number of 25-paisa, 50-paisa and 1-rupee coins be 4x, 6x and 5x, respectively. Using the formula for total amount, 0.25(4x) + 0.50(6x) + 1(5x) equals 72, which simplifies to x + 3x + 5x = 72. This gives 9x = 72, so x is 8. The difference between the number of 50-paisa and 25-paisa coins is 6x minus 4x, giving 2x, which is 2 times 8, or 16 coins.

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