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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 & Solution
Correct 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
$$\eqalign{ & = \left( {5x \times 6} \right):\left( {6x \times 4} \right):\left( {4x:9} \right) \cr & = 30:24:36 \cr & = 5:4:6 \cr & \therefore {\text{A's amount}} \cr & = {\text{Rs}}{\text{.}}\left( {1800 \times \frac{5}{{15}}} \right) \cr & = {\text{Rs}}{\text{.600}} \cr} $$
Then, ratio of their amounts
$$\eqalign{ & = \left( {5x \times 6} \right):\left( {6x \times 4} \right):\left( {4x:9} \right) \cr & = 30:24:36 \cr & = 5:4:6 \cr & \therefore {\text{A's amount}} \cr & = {\text{Rs}}{\text{.}}\left( {1800 \times \frac{5}{{15}}} \right) \cr & = {\text{Rs}}{\text{.600}} \cr} $$
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