Correct Answer - Option 2 : 280
Given:
The ratio of number of 5 Rs coins and 2 Rs. coins = 15 ∶ 14
Amount of Sohan after the number of 5 Rs. coins is halved = Rs. 1310
Formula used:
Total amount = (total number of 5 Rupees coins × 5 + total number of 2 Rupees coins × 2)
Calculation:
Let the number of 5 Rupees coins is 15x and number of 2 Rupees coins is 14x.
If the number of 5 Rupees coins is halved, then he will have an amount of Rs. 1310
⇒ (15x/2) × 5 + (14x × 2) = Rs. 1310
⇒ 75x + 56x = 1310 × 2
⇒ 131x = 1310 × 2
⇒ x = 20
⇒The number of 2 Rs coins that Sohan has = 14x = 14 × 20 = 280
∴The number of 2 Rupees coins is 280.
