A, B and C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35000, A receives ?

1Rs. 8400
2Rs. 11900
3Rs. 13600
4Rs. 14700

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let C = x \\ Then, B = x + 5000 and \\ A = x + 5000 + 4000 = x + 9000 \\ So, \\ \Rightarrow x + x + 5000 + x + 9000 = 50000 \\ \Rightarrow 3 x = 36000 \\ \Rightarrow x = 12000 \\ ∴ A : B : C \\ = 21000 : 17000 : 12000 \\ = 21 : 17 : 12 \\ ∴ A's share \\ = Rs . (35000 \times \frac{21}{50}) \\ = Rs. 14700 \end{aligned}

$\eqalign{ & {\text{Let C}} = x \cr & {\text{Then, B}} = x + 5000{\text{ and}} \cr & {\text{A}} = x + 5000 + 4000 = x + 9000 \cr & {\text{So, }} \cr & \Rightarrow x + x + 5000 + x + 9000 = 50000 \cr & \Rightarrow 3x = 36000 \cr & \Rightarrow x = 12000 \cr & \therefore {\text{A}}:{\text{B}}:{\text{C}} \cr & = 21000:17000:12000 \cr & = 21:17:12 \cr & \therefore {\text{A's share}} \cr & = {\text{Rs}}{\text{.}}\left( {35000 \times \frac{{21}}{{50}}} \right) \cr & = {\text{Rs.}}{\text{14700}} \cr}$