Quantitative Aptitude Ques 1972

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 $