Multiple choice

Mr. Sinha and Mr. Sood were running a business in partnership. In the beginning of 2018, Mr. Sinha invested an amount which was two thirds the amount invested by Mr. Sood. The time period for which Mr. Sinha invested his money was six times the time period for which Mr. Sood invested his money. If the profit received by Mr. Sood was Rs. 5,600, then what was the total profit made by them at the end of the year?

  1. Rs. 30,000

  2. Rs. 28,000

  3. Rs. 24,000

  4. Rs. 18,000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit is proportional to investment times time. Let Sood's investment be 3x and time be t. Sinha's investment is 2x and time is 6t. Ratio of profits = (2x * 6t) : (3x * t) = 12 : 3 = 4 : 1. Since Sood's profit (1 part) is 5600, total profit (5 parts) is 5 * 5600 = 28000.

AI explanation

Using the partnership rule that the profit ratio equals the product of investment and time, the ratio of profits is (2/3)*6 : 1*1, which is 4:1. Mr. Sood's profit of 5600 represents 1 part, meaning the total profit of 5 parts is 5*5600 = 28000.

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