Question

By selling a sofa-set for Rs. 2,500; the shopkeeper loses 20%. Find his loss percent or profit percent; if he sells the same sofa-set for Rs. 3,150.

Answer 1

In the first condition :
S.P. of a Sofa-set = Rs. 2500
Loss = 20%
$\therefore C.P.=\frac{100}{(100-Loss}\times S.P.$
= $\frac{100}{(100-20)}\times Rs.2500=Rs.\frac{100}{80}\times 2500$
=Rs. $\frac{100\times 2500}{80}=\frac{5\times 2500}{4}=5\times 625$
= Rs. 3125
In the second condition :
S.P. of the sofa-set = Rs. 3150
C.P. of the sofa-set = Rs. 3125
Gain = S.P. - C.P.
= Rs. 3150 - Rs. 3125 = Rs. 25
Gain% = $\frac{Gain}{C.P.}\times 100$
= $\frac{25}{3125}\times 100=\frac{25\times 100}{3125}$ = $\frac{100}{125}$
= $\frac{4}{5}$% = 0.8