Tick (✓) the correct answer

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

 

 

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