A bag contains coins of Rs 1, Rs 2, and Rs 5 in the ratio 5 : 10 : 6 respectively. The total amount in the bag is Rs 275. How many Rs 5 coins are in the bag?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 30.
Concept Used :
Total value = Value of each coin × Number of coins
Given that :
The ratio of coins = 5 : 10 : 6
Total amount = Rs 275
Now, let the number of Rs 1 coin = 5x
the number of Rs 2 coins = 10x, and
the number of Rs 5 coins = 6x
The total value of Rs 1 coins = 5x × 1 = 5x
The total value of Rs 2 coins = 10x × 2 = 20x
The total value of Rs 5 coins = 6x × 5 = 30x
Therefore the total amount = 5x + 20x + 30x = 55x
According to the question,
Total amount = 275
⇒ 55x = 275
⇒ x = 275/55 = 5
So, the number of Rs 5 coins = 6x = 6 × 5 = 30
Hence the required number of Rs 5 coins is 30