A, B and C together invest 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 the total profit of Rs 31,800, find the share of A.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs 13,800
Let the amount invested by C in the business = x.
B = x + 6000
A = x + 6000 + 5000 = x + 11000.
A + B + C = 53000.
x + x + 6000 + x + 11000 = 53000
3x = 36000
x = 12000.
C = 12000, B = 18000 and A = 23000.
Ratio of their profit share = 23000 : 18000 : 12000
A : B : C = 23 : 18 : 12
Share of A = 23/53 × 31800 = 13800.