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SSC CGL 2022 PYQ — Question 61

SSC CGL - 21 April 2022 - Shift 2 • Quantitative Aptitude • Q61

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A and B entered into a partnership with investments in the ratio 3 : 5. After a few months, A withdrew and collected back his money. At the end of the year, they received profit in the ratio 2 : 5. After how many months did A withdraw?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 8

Explanation:

A and B entered into a partnership with investments in the ratio 3 : 5.

Profit share ratio = 2 : 5

Let A withdraw after x months.

According to the question -

(3×x)(5×12)=25{(3 × x)\over (5 × 12)} = {2\over 5}

⇒ 3x60=25{3x\over 60} = {2\over 5}

⇒ 15x = 120

⇒ x = 12015120\over 15

⇒ x = 8

Hence A withdrew his money after 8 months.