Question

A, B and C together invests Rs. 53,000 in a business. A invests Rs. 5,000 more than B and B invests Rs. 6,000 more than C. Out of a total profit of Rs. 31,800, find the share of A.

• A. Rs. 12,500
• B. Rs. 13,800
• C. Rs. 12,80
• D. Rs. 13,500

Answer 1

Answer:

B. Rs. 13,800

Solution: Given: Investment of A, B and C together = Rs. 53,000 Investment of A = Investment of B + Rs. 5,000 Investment of B = Investment of C + Rs. 6,000 Total profit of A, B and C together = Rs. 31800 Concept used: The investment ratio is directly proportional to the profit ratio. Calculation: Let the investment of C be x. Investment of B = x + 6000 Investment of A = x + 6000 + 5000 Total investment = 53000 ⇒ x + x + 6000 + x + 6000 + 5000 = 53000 ⇒ 3x + 17000 = 53000 ⇒ 3x = 53000 – 17000 ⇒ 3x = 36000 ⇒ x = 36000/3 ⇒ x = 12000 Investment of A = 12000 + 11000 = 23000 Investment of B = 12000 + 6000 = 18000 Investment of C = 12000 Ratio of investment of A, B and C = 23000 : 18000 : 12000 ⇒ 23 : 18 : 12 Share of A = (23/53) × 31800 ⇒ 23 × 600 ⇒ 13800 ∴ The share of A is Rs. 13800.