In a bag there are coins of Rs. 1, Rs. 2 and Rs. 5 in the ratio 3 : 5 : 7,…
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In a bag there are coins of Rs. 1, Rs. 2 and Rs. 5 in the ratio 3 : 5 : 7, respectively. If the total value of the coins in the bag is Rs. 144, find the number of coins of each and also the total value of Rs. 2 coins
- A.
36
- B.
30
- C.
44
- D.
56
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Correct answer: B
Let the number of Rs.1, Rs.2 and Rs.5 coins be 3x, 5x and 7x respectively.
Total value: 1×(3x) + 2×(5x) + 5×(7x) = 3x + 10x + 35x = 48x.
Given the total value is Rs. 144, we have 48x = 144, so x = 3.
Number of Rs.1 coins = 3x = 9.
Number of Rs.2 coins = 5x = 15.
Number of Rs.5 coins = 7x = 21.
Total value of the Rs.2 coins: 15 × 2 = Rs. 30.