The ratio of number of 5 Rupees coins and 2 Rupees coins that Sohan has is 15 ∶ 14. If the number of 5 Rupees coins is halved, then he will have 1310 Rs. How many 2 Rupees coins does Sohan have?

The ratio of number of 5 Rupees coins and 2 Rupees coins that Sohan has is 15 ∶ 14. If the number of 5 Rupees coins is halved, then he will have 1310 Rs. How many 2 Rupees coins does Sohan have? Correct Answer 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.

Related Questions

The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.  Belly has some coins out of which some are of 25 Cent and Some are of 50 Cent. If he has a total of 250 coins, how many coins does he have of 25 Cent? I) Belly has three times as many as 50 Cent coins as 25 Cent coins. II) Belly has 20 more 25 cent coins than the 50 Cent coin.