Question

Dolly 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 Dolly has a total amount of Rs 1120, then find the total value of Rs 1 coins.
1. Rs 620
2. Rs 420
3. Rs 840
4. Rs 960

Answer 1

Correct Answer - Option 3 : Rs 840

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

Total value of coins = 24 ∶ 6 ∶ 2

⇒ 12 ∶ 3 ∶ 1 = 16 units
⇒ 16 units = 1120

⇒ 1 units = 70

Value of Rs 1 coins = 12 units

⇒ 12 × 70

⇒ Rs 840

∴ The total number of Rs 1 coins is Rs 840.