Multiple choice

A purse contains Rs. 455 in the form of Rs. 1, Rs. 2, and Rs. 5 coins in the ratio of 2 : 4 : 5. What is the number of Rs. 2 coins in the purse?

  1. 26

  2. 52

  3. 65

  4. 13

  5. Na

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number of coins be 2x, 4x, and 5x. The total value is 1*(2x) + 2*(4x) + 5*(5x) = 2x + 8x + 25x = 35x. Given 35x = 455, x = 13. The number of Rs. 2 coins is 4x = 4 * 13 = 52.

AI explanation

Let the number of Rs. 1, Rs. 2, and Rs. 5 coins be 2x, 4x, and 5x respectively. The total value of the coins is 1(2x) + 2(4x) + 5(5x) = 2x + 8x + 25x = 35x. Setting this equal to the total amount gives 35x = 455, so x = 13. The number of Rs. 2 coins is 4x, which is 4 multiplied by 13, giving 52.