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SSC CGL 2022 PYQ — Question 68

SSC CGL - 13 April 2022 - Shift 3 • Quantitative Aptitude • Q68

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A, B, and C start a business. A invests 3313\frac{1}{3}% of the total capital, B invests 25% of the remaining, and C invests the rest. If the total profit at the end of the year is Rs 186000, then A's share of the profit (in Rs) is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 62000

Let the total amount invested by A, B and C be 6x.

So, the investment of A =  3313\frac{1}{3}% of 6x = 131 \over 3 of 6x = 2x

⇒the investment of B =  25% of (6x - 2x) = 141 \over 4 × 4x = x

⇒the investment of C = 6x - (2x + x) = 3x

The ratio of the investment of A, B, C = the ratio of profit share of A, B, C = 2x : x : 3x

Given that, total profit = 186000

i.e., 2x + x + 3x = 186000

⇒ 6x = 186000

⇒ x = 31000

Now, A's share of the profit = 2x = 2 × 31000 = 62000

Hence the share of A is Rs. 62000.