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1. A man completes $\frac{5}{8}$ of a job in 10 days. At this rate, how many more days will it take him to finish the job ?

A. 5

B. 6

C. 7

D. $7 \frac{1}{2}$

Solution:

Work done =

\frac{5}{8}

Balance work

= (1 - \frac{5}{8})

= \frac{3}{8}

Less work, Less days ( Direct proportion)
Let the required number of days be x
Then,

\begin{aligned} \Leftrightarrow \frac{5}{8} : \frac{3}{8} :: 10 : x \\ \Leftrightarrow \frac{5}{8} \times x = \frac{3}{8} \times 10 \\ \Leftrightarrow x = (\frac{3}{8} \times 10 \times \frac{8}{5}) \\ \Leftrightarrow x = 6 \end{aligned}

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