Question

A bag contains ₹ 90 in coins. If coins of 50p, 25p and 10p are in the ratio 2 ∶ 3 ∶ 5, how many 25p coins are there in the bag?

• A. 150
• B. 175
• C. 125
• D. 142

Answer 1

Answer:

C. 125

Solution:

Calculation:

Let the number of total coins of 50p, 25p, and 10p denominations be 2a, 3a, and 5a. 

According to the question-

Total monetary value of coins is ₹ 90

⇒ 0.5 × 2a + 0.25 × 3a + 0.1 × 5a = ₹ 90

⇒ 1a + 0.75a + 0.5a = ₹ 90

⇒ 2.25a = ₹ 90

$a=\frac{90}{2.25}=40$

Coins of 25p denomination = 3 × 40 = 120

The coins of 25p denomination were 120.