Question

A T.V. set is sold for $\text{₹}6800$ at a loss of $15\%$. Find
(i) Cost price of the T.V. set.
(ii) New selling price of it, in order to gain $12\%$.

Answer 1

S.P of the T.V. set $=\text{Rs.}6800$
Loss $=15\%$
(i) $\therefore$ C.P. $=\frac{\text{S.P.}\times 100}{100-\text{loss}\%}$
$=\frac{6800\times 100}{100-15}$
$=\frac{6800\times 100}{85}$
$=\text{₹}8000$

(ii) In second case, gain $=12\%$
$\therefore$ S.P. $=\frac{\text{C.P.}(100+\text{gain}\%)}{100}$
$=\frac{8000(100+12)}{100}$
$=\frac{8000\times 112}{100}$
$=\text{₹}8960$