Discussion of Question with ID = 054 under Percentages

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Question

If 17% of X + 8% of Y equals 2/3 of the sum of 4% of X and 15% of Y, then the ratio of X to Y is?

A

${6/43}$.

B

$1{1/6}$.

C

$2{2/45}$.

D

3.

Soln.
Ans: a

We can drop the % from both sides and write the given equation as 17X + 8Y = $2/3$ × (4X + 15Y), which is same as 3 × (17X + 8Y) = 2 × (4X + 15Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (17r + 8) = 2 × (4r + 15), solving for r we get r = ${6/43}$.


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