Multiple choice

A and B started a business together. B`s capital is Rs. 700 more than that of A. But B invested his capital for 9 months and A invested for 10 months. If A and B share the profit in the ratio 8 : 9, then the capital of B (in Rs.) is

  1. 3500

  2. 4200

  3. 4000

  4. 2100
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A Correct answer
Explanation

Let A's capital be x, so B's capital is x + 700. The profit ratio is (Capital_A * Time_A) / (Capital_B * Time_B) = 8/9. So, (x * 10) / ((x + 700) * 9) = 8/9. Simplifying, 90x = 72(x + 700), 90x = 72x + 50400, 18x = 50400, x = 2800. B's capital is 2800 + 700 = 3500.

AI explanation

Let A's capital be x, so B's capital is (x + 700). The profit ratio equals the ratio of the product of capital and time, so (x times 10) / ((x + 700) times 9) = 8/9. Solving 10x / (9x + 6300) = 8/9 gives 10x = 8x + 5600, resulting in 2x = 5600 and x = 2800. Since B's capital is x + 700, B's capital is Rs. 3500.

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