Question

A, B, C subscribe a sum of Rs. 75,500 for a business. A subscribes Rs. 3,500 more than B, and B subscribes Rs. 4,500 more than C. Out of a total profit of Rs. 45,300, how much (in Rs.) does A receive?

• A. 12,600
• B. 14,700
• C. 17,400
• D. 15,000

Answer 1

Answer:

C. 17,400

Solution: Given: Total investment = 75500 Profit = 45300 Concept used: Person’s Profit = Investment × Time period Calculation: Let x be the investment of C C = x ----(1) B = (x + 4500) ----(2) A = (x + 4500 + 3500) ----(3) We know that, x + (x + 4500) + (x + 4500 + 3500) = 75500 ⇒ x + (x + 4500) + (x + 8000) = 75500 ⇒ 3x + 12500 = 75500 ⇒ 3x = 63000 x = 21000 Put the value of x in equation 1, 2, and 3. A = 29000 B = 25500 C = 21000 Ratio of Profit = 29000 : 25500 : 21000 ⇒ 58 : 51 : 42 A’s share = [58/(58 + 51 + 42)] × 45300 ∴ Share of A in the business is Rs. 17400.