Multiple choice

A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly?

  1. 21.6%

  2. 15.3%

  3. 14.6%

  4. 12.5%

  5. None of these
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A Correct answer
Explanation

Total money = (600 * 0.25) + (1200 * 0.50) = 150 + 600 = 750. Removed: (0.12 * 150) + (0.24 * 600) = 18 + 144 = 162. Percentage removed = (162 / 750) * 100 = 21.6%.

AI explanation

The total initial value is calculated by converting the coins to rupees, giving 600 multiplied by 0.25 plus 1200 multiplied by 0.50, which equals 150 plus 600 for a total of 750 rupees. The removed value consists of 12 percent of the 25 paise coins, which is 72 coins valued at 18 rupees, and 24 percent of the 50 paise coins, which is 288 coins valued at 144 rupees. The total value removed is 18 plus 144, equaling 162 rupees. The percentage removed is 162 divided by 750 multiplied by 100, which equals 21.6 percent.

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