Multiple choice

Ram started a business by investing $rs.\ 45,000$. After $3$ months, Sanjay joined him with a capital of $Rs.\ 60,000$. After $6$ months, Aditya joined them with a capital of $Rs.\ 90,000$. At the end of the year they earned a profit of $Rs.\ 16,500$. What is the Ram share in business.

  1. $6,600$
  2. $5,900$
  3. $5,500$
  4. $5,000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ram invests 45000 for 12 months. Sanjay invests 60000 for 9 months. Aditya invests 90000 for 6 months. Ratio = (45*12) : (60*9) : (90*6) = 540 : 540 : 540 = 1 : 1 : 1. Ram's share = (1/3) * 16500 = 5500.

AI explanation

The profit ratio is determined by the product of investment and time, so Ram's effective capital is 45000 multiplied by 12 to equal 540000. Sanjay's effective capital is 60000 multiplied by 9 to equal 540000, and Aditya's effective capital is 90000 multiplied by 6 to equal 540000, making the profit sharing ratio 1 to 1 to 1. The total profit of Rs. 16500 is divided equally three ways, giving Ram a share of Rs. 5500.

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