Final answer:
To find the number of each type of coin, we use the ratio 3:4:5 and the total value of Rs 187 to set up an equation and solve for 'x'. Consequently, there are 102 Rs 1 coins, 136 50 Paise coins, and 170 10 Paise coins.
Step-by-step explanation:
The question involves solving a problem based on the concept of ratios and the value of coins in Indian currency. To find the number of each type of coin, we must first understand that the total value of the coins is given in Rupees (Rs) and Paise. Rs 1 coin is equal to 100 Paise, so all the values need to be converted to Paise to solve the problem consistently.
Let the common ratio be 'x'. So, the number of Rs 1 coins is 3x, the number of 50 Paise coins is 4x, and the number of 10 Paise coins is 5x. The total value in Paise would therefore be 100(3x) + 50(4x) + 10(5x) = 18700 Paise (since Rs 187 = 18700 Paise).
Solving for 'x' we get:
300x + 200x + 50x = 18700
550x = 18700
x = 34
Therefore, the number of Rs 1 coins is 3x = 102, the number of 50 Paise coins is 4x = 136, and the number of 10 Paise coins is 5x = 170.