A person has Rs 2, Rs 5, and Rs 10 coins amounting to Rs 472. If the ratio of the number of these coins is 2:3:4, find the number of Rs 2 coins?

A person has Rs 2, Rs 5, and Rs 10 coins amounting to Rs 472. If the ratio of the number of these coins is 2:3:4, find the number of Rs 2 coins?

Explanation

Let's denote the number of coins as 2x, 3x, and 4x for Rs 2, Rs 5, and Rs 10 coins, respectively.

The total value is:

2(2x) + 5(3x) + 10(4x) = 472

4x + 15x + 40x = 472

59x = 472

x = 8

Number of Rs 2 coins = 2x = 2(8) = 16