Question

Manoj purchased lemons for Rs. $600$. He sold $\frac{3}{4}$ of these at a loss of $20$% and the remaining at a gain of $20$%. How much percentage does he gain or lose on the whole transaction?

Answer 1

Given, CP of lemon = Rs $600$

CP of ${\frac{3}{4}}^{th}$ lemon

$=\frac{3}{4}\times 600=450$

Then take the $20\%$ of $450$

$=\frac{20}{100}\times 450=90$

$S.P$ of $\frac{3}{4}$ part $=450-90=360$

Take the remaining one upon forth part which is $150$

$20\%$ of $150=30$

S.P of $\frac{3}{4}$ part $=150+30=180$

Total $S.P$ $=360+180=540$

loss $=600-540=60$

$loss\%=\frac{60}{600}\times 100=10\%$

Hence, $10\%$ loss$.$