Two numbers X and Y are such that the sum of 18% of X and 8% of Y is one-third of the sum of 22% of X and 36% of Y. Find the ratio of X and Y.
Answer & explanation
Correct answer: option 3
3(18% of x + 8% of y) = 22% of x + 36% of y,
⇒ 54x + 24y = 22x + 36 y,
⇒ 54x - 22x = 36y - 24y
⇒ 32x = 12y
⇒ x : y = 12 : 32 = 3 : 8.