Question:
Tick (✓) the correct answer:
On selling a chair for Rs 720, a man loses 25%. To gain 25% it must be sold for
(a) Rs 900
(b) Rs 1200
(c) Rs 1080
(d) Rs 1440
Solution:
(b) Rs 1200
$\mathrm{SP}=\mathrm{Rs} 720$
Loss percentage $=25 \%$
$\mathrm{CP}=\left\{\frac{100}{(100-\text { loss } \%)} \times \mathrm{SP}\right\}$
$=\operatorname{Rs}\left\{\frac{100}{(100-25)} \times \mathrm{SP}\right\}$
$=\operatorname{Rs}\left(\frac{100}{85} \times 720\right)$
$=\operatorname{Rs} 960$
$\therefore$ Desired SP $=\left\{\frac{(100+\text { gain } \%)}{100} \times \mathrm{CP}\right\}$
$=$ Rs. $\left\{\frac{(100+25)}{100} \times 960\right\}$
$=$ Rs. $\left(\frac{125}{100} \times 960\right)$
$=$ Rs. 1200