Question

A, B and C started a business. Twice the investment of A is equal to thrice the investment of B and also five times the investment of C. If the total profit after a year is Rs. 15.5 lakhs, then the share of B in the profit is (in Rs. lakhs):

• A. 5
• B. 7.5
• C. 4.5
• D. 3

Answer 1

Answer:

A. 5

Solution: Given: Twice the investment of A = Thrice the investment of B = Five times the investment of C Total profit = Rs. 15.5 lakhs Concept used: Profit will be directly proportional to amount invested if time period is same Calculation: 2A = 3B = 5C L.C.M of 2, 3 and 5 = 30 So, A = 30/2 = 15 ⇒ B = 30/3 = 10 ⇒ C = 30/5 = 6 Total profit = 15 + 10 + 6 = 31 Share of B = (10/31) × 15.5 lakhs ⇒ Rs. 5 lakhs ∴ The share of B is Rs. 5 lakhs