Multiple choice

In a bag, there are coins of 25 paisa, 10 paisa and 5 paisa in the ratio of 1 : 2 : 3. If there are Rs. 30 in all, then how many 5 paisa coins are there?

  1. 50

  2. 100

  3. 150

  4. 200
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total tents = 200. Large = 1/4 * 200 = 50. Small = 150. Income from large = 1/3 * Total. Price_L * 50 = 1/3 * (Price_L * 50 + Price_S * 150). 150 * Price_L = 50 * Price_L + 150 * Price_S. 100 * Price_L = 150 * Price_S. Price_L / Price_S = 150 / 100 = 3/2.

AI explanation

Let the number of 25 paisa, 10 paisa and 5 paisa coins be x, 2x and 3x respectively. The total value in rupees is (0.25*x) + (0.10*2x) + (0.05*3x) = 0.25x + 0.2x + 0.15x = 0.6x. Equating this to the given total of 30 rupees, we get 0.6x = 30, which means x = 50. The number of 5 paisa coins is 3x, so substituting x gives 3 * 50 = 150 coins.

Keep practicing — related questions