Multiple choice

A person has a total of Rs. 230 in coins of denominations one rupee, 50 paisa and 25 paisa. These coins are in the ratio 5 : 8 : 10, respectively. How many one rupee coins are there with the person?

  1. 100

  2. 80

  3. 160

  4. 200
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A Correct answer
Explanation

Let coins be 5x, 8x, 10x. Value = 5x(1) + 8x(0.5) + 10x(0.25) = 5x + 4x + 2.5x = 11.5x. 11.5x = 230 -> x = 20. One rupee coins = 5x = 5 * 20 = 100.

AI explanation

The ratio of the number of coins is 5:8:10, so let the number of 1-rupee, 50-paisa and 25-paisa coins be 5x, 8x and 10x. Using the formula for total value, 1(5x) + 0.50(8x) + 0.25(10x) equals 230, which simplifies to 5x + 4x + 2.5x = 230. This gives 11.5x = 230, so x is 20. The number of 1-rupee coins is 5x, which is 5 times 20, yielding 100 coins.

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