Multiple choice

A bag contains $25$ paise, $10$ paise and $5$ paise coins in the ratio $1 : 2 : 3$. If their total value is Rs. $30$, the number of $5$ paise coins is ________.

  1. $50$
  2. $100$
  3. $150$
  4. $200$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let number of coins be x, 2x, 3x. Value = 0.25x + 0.10(2x) + 0.05(3x) = 30. 0.25x + 0.20x + 0.15x = 30. 0.60x = 30. x = 50. Number of 5 paise coins = 3x = 150.

AI explanation

Let the number of 25 paise, 10 paise, and 5 paise coins be 1x, 2x, and 3x respectively. The total value in rupees is (1x * 0.25) + (2x * 0.10) + (3x * 0.05) = 0.25x + 0.20x + 0.15x = 0.60x. Equating this to the total gives 0.60x = 30, so x = 50. The number of 5 paise coins is 3x = 3 * 50 = 150. The number of 5 paise coins is 150.

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