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### Question

If 9% of X + 2% of Y equals 2/3 of the sum of 8% of X and 7% of Y, then the ratio of X to Y is?

**A**

${8/11}$.

**B**

$1{9/10}$.

**C**

$2{4/13}$.

**D**

$3{2/13}$.

**Soln.**

**Ans: a**

We can drop the % from both sides and write the given equation as 9X + 2Y = $2/3$ × (8X + 7Y), which is same as 3 × (9X + 2Y) = 2 × (8X + 7Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (9r + 2) = 2 × (8r + 7), solving for r we get r = ${8/11}$.