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 a total profit of Rs. 31,800, find the share of A.
A. Rs. 12,800
B. Rs. 12,500
C. Rs. 13,500
D. Rs. 13,800
Answer: Option D
Solution (By Examveda Team)
\[\begin{array}{*{20}{c}} {\text{A}}&{\text{B}}&{\text{C}} \\ {x + 11,000}&{x + 6,000}&x \end{array}\]3x + 17,000 = 53,000
3x = 36,000
x = 12,000
A : B : C = 23,000 : 18,000 : 12,000 = 23 : 18 : 12
53 unit → 31,800
1 unit → 600
23 unit → 23 × 600 = Rs. 13,800
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