Multiple choice

A purse contains some coins consisting of rupees, fifty paise coins and twenty-five paise coins. If coins be in the ratio of $2:3:10$ and their total value is Rs. $72$, the number of twenty-five paise coins will be.

  1. $100$
  2. $140$
  3. $120$
  4. $80$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of coins be 2x, 3x, and 10x. Value = 100(2x) + 50(3x) + 25(10x) = 200x + 150x + 250x = 600x paise = 6x rupees. 6x = 72 => x = 12. Number of 25 paise coins = 10x = 10 * 12 = 120.

AI explanation

Let the number of rupee, fifty paise, and twenty-five paise coins be 2x, 3x, and 10x. Their total value in rupees is 2x multiplied by 1, 3x multiplied by 0.50, and 10x multiplied by 0.25, which evaluates to 2x, 1.5x, and 2.5x. Adding these values gives 6x = 72, meaning x = 12. The number of twenty-five paise coins is 10x, so 10 times 12 is 120.

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