Question

A man has Rs. 480 in the form of one-rupee, five-rupee, and ten-rupee coins. The number of coins of each type is equal. What is the total number of coins he has?

• A. 45
• B. 60
• C. 75
• D. 90

Hint:

Sum up value per coin type, factor common \(x\), then divide total amount by total per coin.

Answer 1

The Correct Option is D

Let the number of each type of coin be \( x \) Step 1: Total value \[ \text{Total money} = 1 \times x + 5 \times x + 10 \times x = 16x \] Step 2: Equation \[ 16x = 480 \Rightarrow x = \frac{480}{16} = 30 \] Step 3: Total number of coins \[ \text{Total coins} = 3x = 3 \times 30 = \boxed{90} \]