Multiple choice

A box contains 1rupee, 50 paisa and 25 paisa coins in ratio 8:5:3. If the total amount of money in the box is Rs. 112.50, then find the number of 50 paisa coins.

  1. 80

  2. 50

  3. 30

  4. 42
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number of coins be 8x, 5x, and 3x. The total value is 8x(1) + 5x(0.5) + 3x(0.25) = 112.50. This simplifies to 8x + 2.5x + 0.75x = 112.50, so 11.25x = 112.50, meaning x = 10. The number of 50 paisa coins is 5x = 50.

AI explanation

The ratio of the number of coins is 8 : 5 : 3. Let the number of 1 rupee, 50 paisa, and 25 paisa coins be 8x, 5x, and 3x respectively. Their total value in rupees is 1 times 8x plus 0.50 times 5x plus 0.25 times 3x, which equals 8x plus 2.5x plus 0.75x, giving 11.25x. Equating this to the total amount gives 11.25x equals 112.50, so x equals 10. The number of 50 paisa coins is 5x, which is 5 multiplied by 10, resulting in 50 coins.

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