Multiple choice

A purse has Rs. 34.5 in the form of 1-rupee, 50-paisa and 10-paisa coins in the ratio of 6 : 9 : 10. Find the number of 10-paisa coins.

  1. 10

  2. 30

  3. 20

  4. 40
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let coins be 6x, 9x, 10x. Value = 6x(1) + 9x(0.5) + 10x(0.1) = 6x + 4.5x + 1x = 11.5x. 11.5x = 34.5 -> x = 3. Number of 10-paisa coins = 10x = 30.

AI explanation

Convert the total amount of Rs. 34.5 into paise, giving 3450 paise. Let the number of 1-rupee, 50-paisa, and 10-paisa coins be 6x, 9x, and 10x respectively; their total value in paise is 100 multiplied by 6x, plus 50 multiplied by 9x, plus 10 multiplied by 10x. This equation becomes 600x plus 450x plus 100x equals 3450, simplifying to 1150x equals 3450, so x equals 3. The number of 10-paisa coins is 10x, which results in 10 multiplied by 3, or 30 coins.

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