Question

Kamal can do a work in $15$ days. Bimal is $50\%$ more efficient than Kamal. What is the number of days, Bimal will take to do the same piece of work?

Answer 1

If Kamal is $100$% efficient then Bimal will be $150$% efficient because it is given that Bimal is $50$% more efficient than Kamal.

Now, lets find the ratio of the efficiency as follows:

$\frac{B}{K}=\frac{150}{100}=\frac{3}{2}=3:2$

Suppose Bimal takes $x$ days to do the work, then we have:

$3:2::15:x$

$\Rightarrow \frac{3}{2}=\frac{15}{x}$

$\Rightarrow 3x=15\times 2$

$\Rightarrow 3x=30$

$\Rightarrow x=\frac{30}{3}$

$\Rightarrow x=10$

Hence, Bimal will take $10$ days to do the same piece of work.