A collection of 1 rupee, 2 rupee, and 5 rupee coins totals Rs. 264. If their quantities are in the ratio 3:5:4 respectively, how many 1 rupee coins are there?

Explanation

Let the number of 1 rupee, 2 rupee, and 5 rupee coins be 3x, 5x, and 4x respectively. The total amount is calculated as (1 × 3x) + (2 × 5x) + (5 × 4x) = 264, which simplifies to 3x + 10x + 20x = 264 or 33x = 264. Solving for x gives x = 8. Therefore, the number of 1 rupee coins is 3x = 3 × 8 = 24.