Multiple choice

A bag contains coins of Re. 1, 50 p and 25 p in the ratio 3 : 4 : 5. If the bag has Rs. 300 in total, find the number of 50 p coins.

  1. 100

  2. 96

  3. 192

  4. 48
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of coins be 3x, 4x, 5x. Value = 3x(1) + 4x(0.5) + 5x(0.25) = 3x + 2x + 1.25x = 6.25x. 6.25x = 300, so x = 300 / 6.25 = 48. Number of 50p coins = 4x = 4 * 48 = 192.

AI explanation

Multiplying each ratio by its respective value in rupees gives the amount ratio as 3 multiplied by 1 : 4 multiplied by 0.50 : 5 multiplied by 0.25, which simplifies to 12 : 8 : 5. The total parts in the bag amount to 12 + 8 + 5 = 25 parts, where the value of one part is 300 divided by 25, equaling Rs. 12. The total value of the 50 paise coins is 8 parts, so 8 multiplied by 12 is Rs. 96. Since each 50 paise coin is worth Rs. 0.50, the number of coins is 96 divided by 0.50. There are 192 such coins.

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