Discussion of Question with ID = 094 under Ratio-and-Proportion

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Question

A bag contains 25p, 10p and 5p coins in the ratio 2 : 13 : 12. How many 25 paise coins are there if the total amount is Rs. 48?

A

40.

B

42.

C

38.

D

44.

Soln.
Ans: a

Let the total number of coins be 2x, 13x and 12x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(2/4 + 13/10 + 12/20)$ = 48. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(2 × 5 + 13 × 2 + 12)$ = 48 × 20, which is x × $(10 + 26 + 12)$ = 48 × 20, solving for x we get x = 20, so 25p coins = 20 × 2 = 40.

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