A and B had a joint business in which A invested Rs. 60,000 in the business for one year. After 3 months B invested Rs. 80,000. At the beginning of the second year, A invested Rs. 30,000 more and B withdrew Rs. 5,000. At the end of two years, profit earned by A is Rs. 35,880. What is the profit (in Rs.) earned by B, if they distributed half of the total profit equally and rest in the capital ratio?

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SSC CGL 2021 Tier-I (Held On : 19 April 2022 Shift 2)

Answer 1

Calculation:

Total capital invested by A = 60,000 × 12 + 90,000 × 12 = 720,000 + 1,080,000 = Rs 1,800,000

Total capital invested by B = 80,000 × 9 + 75,000 × 12 = 720,000 + 900,000 = Rs 1,620,000

Ratio = 1,800,000 : 1,620,000 = 10 : 9

Let the total profit earned is 4p

Now, out of 4p profit, 2p is equally divided between A and B.

A's profit-

⇒ p + \(10 \over 19\) × 2p = 35,880

⇒ 39p = 35,880 × 19

⇒ p = 35,880 × \(19\over 39\) = Rs 17,480

Now,Profit earned by B = p + \(9 \over 19\) × 2p = \(37p\over 19\) = \(37\over 19\) × 17,480

⇒ Profit of B = Rs 34,040.

∴ The profit of B is Rs 34,040.

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