Question

A man sold two articles at Rs. 375 each. On one he gains 25% and on the other he loses 25%. How much does he gain or lose in whole transaction? Also find his gain% or loss% in whole transaction.

Answer 1

For the first article, we have,

$S.P=Rs.375$ and $Gain=25\%$

$\therefore C.P=\frac{100}{100+Gainpercent}\times S.P$

$\Rightarrow C.P=Rs.(\frac{100}{100+25}\times 375)=Rs.300$

For the second article, we have,

$S.P=Rs.375$ and $Loss=25\%$

$\therefore C.P=\frac{100}{100-Losspercent}\times S.P$

$\Rightarrow C.P=Rs.(\frac{100}{100-25}\times 375)=Rs.500$

$\therefore$ Total cost paid in buying the two articles

$=Rs.(300+500)=Rs.800$

Total $S.P=Rs.(375+375)=Rs.750$

$\because C.P>S.P$. So there is loss given by

$\therefore$ Total loss $=C.P-S.P=Rs.800-Rs.750=Rs.50$

Hence, loss percent

$=(\frac{Loss}{C.P}\times 100)$%=$(\frac{50}{800}\times 100)$$=6\frac{1}{4}\%$