Question

Rohan found Rs. 2, Rs. 1 and 50 paise coins in a piggy bank. If the total sum is Rs. 75 and the ratio of the number of coins is 4 ∶ 3 ∶ 8. What is the total amount of Rs.1?
1. Rs. 40
2. Rs. 15
3. Rs. 20
4. Rs. 30

Answer 1

Correct Answer - Option 2 : Rs. 15

Given:

Total sum = Rs. 75

The ratio of number of coins =  4 ∶ 3 ∶ 8

Calculation:

Let assume that number of coins Rs. 2 be 4x

Number of coins of Rs. be 3x  

The number of coins of Rs. 0.50 be 8x

The total sum from Rs.2 = 2 × 4x = 8x

The total sum from Rs.1 = 1 × 3x = 3x

The total sum from Rs.0.50 = 0.50 × 8x = 4x

According to question:

⇒ 8x+ 3x + 4x = 75

⇒ x = 5

⇒ The total sum from Rs.1 = 3x = 3 × 5 =Rs.15

∴ The total sum from Rs. 1 is Rs.15

The correct option is 2 i.e. Rs.15