A, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A ?

Answer: Option A

Let the daily wages of A, B and C be Rs. 5x, Rs. 6x and Rs. 4x respectively.
Then, ratio of their amounts
$$\begin{array}{rl}& =\left(5x\times 6\right):\left(6x\times 4\right):\left(4x:9\right)\\ & =30:24:36\\ & =5:4:6\\ & \therefore \text{A’s amount}\\ & =\text{Rs}\text{.}\left(1800\times \frac{5}{15}\right)\\ & =\text{Rs}\text{.600}\end{array}$$