Multiple choice

Akhil and Tony started a business in partnership by investing capitals of Rs. 12,500 and Rs. 10,000, respectively. After 5 months, Akhil withdrew a certain amount of sum from his capital, which was equal to 62.5% of the amount added by Tony to his capital after two more months. What amount did Tony add to his capital, if at the end of the year they share the profit in equal amounts?

  1. Rs. 2,700

  2. Rs. 3,200

  3. Rs. 3,500

  4. Rs. 4,000

  5. Rs. 4,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To share profits equally, the total investment-time product for both must be equal. Akhil's investment is 12500 for 5 months and (12500-x) for 7 months. Tony's investment is 10000 for 7 months and (10000+y) for 5 months, where x = 0.625y. Solving the equation 12500*5 + (12500-0.625y)*7 = 10000*7 + (10000+y)*5 yields y = 3200.

AI explanation

Using the partnership formula, their profit ratio is the product of investment and time. Let x be the amount Tony added. Akhil withdrew 0.625x, leaving his investment at 12500 - 0.625x for the remaining 7 months. Tony's investment was 10000 for 7 months and 10000 + x for 5 months. Equating their effective investments: 12500*12 + (12500 - 0.625x)*7 = 10000*7 + (10000 + x)*5. This simplifies to 150000 + 87500 - 4.375x = 70000 + 50000 + 5x. Solving for x gives 9.375x = 117500, so x = 3200. Tony added Rs. 3,200.

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