Question

At Technosys Pvt Ltd. there are some engineering students employed as trainee engineers, belong to two eminent institutions of India. One group belong to MIT and another to NIT. Each student of MIT works for 10 hours a day till 60 days and each student of NIT works for 8 hours till 80 days on the two same projects. The ratio of the number of students of MIT and that of NIT is 4 : 5 respectively. Students of which institution is slower in work and by how much?

• A. Each student of MIT is 20% less efficient than that of NIT
• B. Each student of NIT is 33.33% less efficient than that of MIT
• C. Each student of NIT is 25% less efficient than that of MIT
• D. Each student of MIT is 33.33% less efficient than that of NIT.

Answer 1

The correct option is C Each student of NIT is 25% less efficient than that of MIT

$\begin{array}{cc}MIT& NIT\\ 4\times 10\times 60\times E_1& =5\times 8\times 80\times E_2\\ \Rightarrow \frac{E_1}{E_2}=\frac{4}{3}& \end{array}$
where $E_1$ and $E_2$ are the respective working efficiencies per hour.
$\therefore$ Each engineer from NIT is 25% less efficient than each engineer from MIT.