Mark (✓) against the correct answer:

Question:

Mark (✓) against the correct answer:

On selling a chair for Rs 680, a man loses 15%. To gain 15%, it must be sold for

(a) Rs 800

(b) Rs 860

(c) Rs 920

(d) Rs 884

Solution:

(c) Rs 920

$\mathrm{SP}=\mathrm{Rs} 680$

Loss percentage $=15 \%$

Now, $\mathrm{CP}=\left\{\frac{100}{(100-\text { loss } \%)} \times \mathrm{SP}\right\}$'$=$ Rs. $\left\{\frac{100}{(100-15)} \times 680\right\}$

$=$ Rs. $\left(\frac{100}{85} \times 680\right)$

$=$ Rs. 800

$\therefore$ Desired SP $=\left\{\frac{(100+\text { gain } \%)}{100} \times \mathrm{CP}\right\}$

$=\operatorname{Rs}\left\{\frac{(100+15)}{100} \times 800\right\}$

$=\operatorname{Rs}\left(\frac{115}{100} \times 800\right)$

$=\operatorname{Rs} 920$

 

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