A collection of coins consists of 50 paise, 1 rupee, and 2 rupee coins in the ratio 2:5:8. If the combined value of all the coins is Rs. 352, what is the total count of coins present?

Explanation

Let the number of 50 paise, 1 rupee, and 2 rupee coins be 2x, 5x, and 8x respectively. The total amount is given by 0.5 × 2x + 1 × 5x + 2 × 8x = 352. Simplifying, we get 22x = 352, so x = 16. Therefore, the total number of coins is 2x + 5x + 8x = 15x = 15 × 16 = 240.