Question

A boy has a bag which contains Rs 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 ∶ 1/2 ∶ 1/3. If the boy have total amount of Rs 1120, then find the numbers of 50 paisa coins.
1. 210
2. 420
3. 560
4. 280

Answer 1

Correct Answer - Option 2 : 420

Given:

Total amount = Rs 1120

Ratio of coins of Rs 1, 50 paisa, and 25 paisa = 1 ∶ 1/2 ∶ 1/3

Formula Used:

Value of coins = Number of coins × per coin value

Calculation:

We know that

Rs 1 = 100 paisa

Ratio of value per coin = 100 ∶ 50 ∶ 25

⇒ 4 ∶ 2 ∶ 1

Ratio of number of coins = 1 ∶ 1/2 ∶ 1/3

⇒ 6 ∶ 3 ∶ 2

Ratio of total price of coins = 24 ∶ 6 ∶ 2

⇒ 12 ∶ 3 ∶ 1 = 16 units

⇒ 16 units = 1120

⇒ 1 units = 70

Value of 50 paisa coins = 3 units

⇒ 3 × 70

⇒ Rs 210

Number of 50 paisa coins for Rs 210 = 210 × 2

⇒ 420

∴ The number of 50 paisa coins is 420.