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SSC CGL 2022 PYQ — Question 58

SSC CGL - 20 April 2022 - Shift 3 • Quantitative Aptitude • Q58

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Three partners shared the profit in a business in the proportion of 9 : 8 : 11. They invested their capital for 4 months, 6 months, and 18 months, respectively. What is the ratio of their capitals?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 81 : 48 : 22

Let the capital invested be P, Q and R.

Given, 4P : 6Q : 18R = 9 : 8 : 11

Equating 4P = 9 ⇒ P = 949\over4

Similarly, Q = 868\over 6 and R = ​​1118​​11 \over 18

Thus, P : Q : R = 94:86:1118{9\over 4} : {8\over 6} : {11\over18}

Or,  P : Q : R = (94)×36:(86)×36:(1118)×36({9\over 4}) × 36 : ({8\over 6}) × 36 : ({11\over18}) × 36

Thus, P : Q : R = 81 : 48 : 22.