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SSC CHSL 2022 PYQ — Question 59

SSC CHSL - 2 June 2022 - Shift 2 • Quantitative Aptitude • Q59

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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.

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 3 : 8.

Explanation:

According to the given question,

18% of X + 8% of Y = 131\over3 × (22% of X + 36% of Y)

⇒ 18X100+8Y100=13×(22X100+36Y100){18X \over 100} + {8Y \over 100} = {1 \over 3} \times {({22X \over 100} + {36Y \over 100})}

⇒ 18X + 8Y = 131\over3× (22X + 36Y)

⇒ 54X + 24Y = 22X + 36Y

⇒ 54X - 22X = 36Y - 24Y

⇒ 32X = 12Y

⇒ X : Y = 12 : 32

⇒ X : Y = 3 : 8

Hence the required ratio is 3 : 8