Question: 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?
Options:
A) Rs. 40000
B) Rs. 35000
C) Rs. 28800
D) Rs. 37800
Show Answer
Answer:
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} Persons \\ Hoursperday \\ \end{matrix},. \begin{aligned} & 12:18 \\ & 16:12 \\ \end{aligned} }::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=Rs\text{.}37800 $