Two numbers X and Y are such that the su

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

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.

Options:

2 : 5

3 : 11

3 : 8

8 : 3

Correct Answer:

3 : 8

Explanation:

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.