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:

When dealing with problems involving different types of coins, set up an equation based on the total amount and solve for the number of coins.

Answer 1

The Correct Option is D

The man has Rs. 480 in coins consisting of one-rupee, five-rupee, and ten-rupee coins, and the number of each type of coin is equal. Let the number of each type of coin be denoted by x. Therefore, we have:

• x coins of one-rupee = Rs. x
• x coins of five-rupees = Rs. 5x
• x coins of ten-rupees = Rs. 10x

The total value of all the coins is the sum of the values of each type:

Total Value = Rs. x + Rs. 5x + Rs. 10x = Rs. 16x

We know from the problem that the total value is Rs. 480, so we set up the equation:

16x = 480

Solving for x, we divide both sides by 16:

x = 480 / 16 = 30

This tells us there are 30 of each type of coin. Therefore, the total number of coins is:

Number of Coins = x + x + x = 3x = 3 × 30 = 90

Thus, the total number of coins the man has is 90.