Discussion Forum

A man bought goods worth Rs. 6000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder so as to get a gain of 25% on the whole ?

Answer:

Explanation:

Let the required gain percent be $x$%.

Then, $(110$% of $3000)$ $+[(100+x)$% of $3000]$

$=125$% of $6000$

$\Rightarrow$ $\left(\frac{110}{100} \times 3000\right)$ + $\left[\frac{(100+x)}{100} \times 3000\right]$

$=\frac{125}{100} \times 6000$

$\Rightarrow 30(100+x)$

$=4200$ $\Rightarrow (100+x)$ $=140$

$\Rightarrow x = 40$%.