Multiple choice

Ram and Anil enter into partnership for a year. Ram invests $Rs.\ 1,200$ and Anil invests $Rs.\ 1,500$. After $3$ month, Aditya enters with Contribution of $Rs.\ 900$. If Anil withdraws his Money after $6$ months. What will be the share of Aditya, if the profit is $Rs.\ 2,450$?

  1. $Rs.\ 700$
  2. $Rs.\ 1,820$
  3. $Rs.\ 630$
  4. $Rs.\ 1,120$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ram's investment: 1200 * 12 = 14400. Anil's investment: 1500 * 6 = 9000. Aditya's investment: 900 * 9 = 8100. Total ratio: 14400:9000:8100 = 144:90:81 = 16:10:9. Aditya's share is (9 / (16+10+9)) * 2450 = (9/35) * 2450 = 9 * 70 = 630.

AI explanation

The profit is shared in the ratio of the product of investment and time, so Ram's ratio is 1200 multiplied by 12 to give 14400, Anil's ratio is 1500 multiplied by 6 to give 9000, and Aditya's ratio is 900 multiplied by 9 to give 8100. This simplifies to a ratio of 16 to 10 to 9, meaning the total of 35 parts corresponds to the Rs. 2450 profit. Aditya's share is 9 parts, so dividing Rs. 2450 by 35 and multiplying by 9 gives his share as Rs. 630.

Keep practicing — related questions