Multiple choice

Aman started a business in partnership with Sangram with an investment (\frac{3}{4}) times the investment of Sangram. After two-third of the time in business, Sangram left. If the business lasted 3 years and Aman received a profit of 24390 rupees, how much was the total profit (in rupees)?

  1. 21680

  2. 46070

  3. 43450

  4. 45865

  5. 38570

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Aman's investment is 3/4 of Sangram's, so ratio is 3x:4x. Sangram left after 2/3 of 3 years (2 years), while Aman stayed the full 3 years. Profit ratio = investment × time: Aman gets (3x×3):(4x×2) = 9:8. Aman's 9 parts = 24390, so 1 part = 2710. Total profit (17 parts) = 2710 × 17 = 46070.