Multiple choice

Priya started his business with 1/3 of the total capital for 1/4 of the time. Her uncle Dhanush invested 1/4 of the capital for 1/2 of the time, and Priya's friend Ravi invested the remaining capital for the whole time. Find the share of Ravi in the total profit of Rs. 99,000.

  1. Rs. 13,200

  2. Rs. 30,000

  3. Rs. 33,000

  4. Rs. 66,000

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

Priya's share is (1/3)(1/4) = 1/12. Dhanush's share is (1/4)(1/2) = 1/8. Ravi's capital is 1 - 1/3 - 1/4 = 5/12, invested for the whole time (1), so his share is 5/12. Profit ratios are 1/12 : 1/8 : 5/12, which simplifies to 2 : 3 : 10. Ravi's share is (10/15) * 99,000 = 66,000.

AI explanation

Using the partnership method, calculate each person's share by multiplying their capital fraction by their time fraction. Priya's share is 1/3 x 1/4 = 1/12, Dhanush's share is 1/4 x 1/2 = 1/8, and Ravi's share is the remaining 5/12 capital multiplied by 1 for the whole time, yielding 5/12. Converting these to a ratio gives 2:3:10, meaning Ravi holds 10 parts out of the 15 total parts. Multiplying the total profit of Rs. 99000 by 10/15 results in Ravi receiving Rs. 66000.

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