| If 12 persons working 16 h per day earn Rs. 33600 per week, then how much will 18 persons earn working 12 h per day? |
A) Rs. 40000
B) Rs. 35000
C) Rs. 28800
D) Rs. 37800
Correct Answer: D
Solution :
| Let the required earnings be Rs. x |
| More persons, More earnings, |
| [direct proportion] |
| Less hours per day, Less earnings |
| [direct proportion] |
| \[\begin{matrix} \text{Persons} \\ \text{Hours}\,\,\text{per}\,\,\text{day} \\ \end{matrix}\,\,\,\left. \begin{align} & 12:18 \\ & 16:12 \\ \end{align} \right\}::33600:x\] |
| \[\therefore \]\[(12\times 16\times x)=(18\times 12\times 33600)\] |
| \[\Rightarrow \] \[x=\frac{18\times 12\times 33600}{12\times 16}\] |
| \[=18\times 2100=\text{Rs}\text{.}\,\,37800\] |
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