Multiple choice

Anant and Prince, two friends enter into a partnership with the initial investments of Rs. 16,400 and Rs. 18,520. After 5 months Prince withdraws Rs. 8,520. If the total profit after a year is Rs. 8,98,500. Then, the profit of Anant is how much more than the profit of Prince?

  1. Rs. 85,400

  2. Rs. 85,500

  3. Rs. 85,600

  4. Rs. 83,400

  5. Rs. 82,300
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Anant's investment: 16400 * 12. Prince's investment: (18520 * 5) + (10000 * 7). Calculate the ratio of their effective investments and distribute the profit accordingly.

AI explanation

In a partnership, the profit share is the product of investment and time period. Anant's effective capital is Rs. 16,400 invested for 12 months, totaling 196800, while Prince's effective capital is Rs. 18,520 for 5 months plus Rs. 10,000 for 7 months, totaling 162600. The difference in their effective capital is 196800 minus 162600, which equals 34200. Since the total effective capital is 359400 and the total profit is Rs. 8,98,500, the difference in their profit shares is (34200 divided by 359400) multiplied by Rs. 8,98,500, which equals Rs. 85,500.

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