Multiple choice

What is profit share of Sohan out of total profit? I. Sohan invests 20% more than Mohan and Mohan invests 20% less than Rohan. Mohan gets a profit share of Rs. 45000 at the end of one year. II. Sohan and Mohan starts business with capital of Rs. 45000 and Rs. 72000 and Rohan joins at the end of 6 months with capital of Rs. 90000. At end of one year, Mohan gets Rs. 45820 less than Rohan.

  1. I alone is sufficient while II alone is not sufficient.

  2. II alone is sufficient while I alone is not sufficient.

  3. Either I or II is sufficient.

  4. Neither I nor II is sufficient.

  5. Both I and II together are sufficient.

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

Statement I: Mohan gets Rs 45000. Let Rohan = R, Mohan = M, Sohan = S. 'Sohan invests 20% more than Mohan' means S = 1.2M. 'Mohan invests 20% less than Rohan' means M = 0.8R, so R = 1.25M. Ratio S:M:R = 1.2:1:1.25 = 24:20:25. If total profit = T, then Mohan's share = (20/69)T = 45000, giving T = 155250. Sohan's share = (24/69) × 155250 = 54000. Statement I is sufficient alone. Statement II: Gives different investment amounts and time periods, plus relationship between Rohan's and Mohan's profits. This also allows calculating Sohan's share. Since each statement alone is sufficient, answer is 'Either I or II is sufficient'.