Question

A bag contains equal number of one rupee, 50 paise, and 25 paise coins. If the total amount in the bag is Rs.35, how many coins of each type are there?

• A. 15 coins
• B. 18 coins
• C. 20 coins
• D. 25 coins

Hint:

When solving coin-related problems, break the problem into smaller parts by calculating the value of each type of coin and adding them up.

Answer 1

The Correct Option is C

Let the number of coins of each type be \( x \). Then: - The value of one rupee coins = \( 1 \times x \) = \( x \) rupees - The value of 50 paise coins = \( 0.50 \times x \) = \( 0.5x \) rupees - The value of 25 paise coins = \( 0.25 \times x \) = \( 0.25x \) rupees The total amount in the bag is Rs.35, so: \[ x + 0.5x + 0.25x = 35 \] \[ 1.75x = 35 \] \[ x = \frac{35}{1.75} = 20 \] Thus, there are 20 coins of each type.