Question

On selling a computer for Rs 24480, a dealer loses 4%. For how much should he sell it to gain 4%?

Answer 1

SP of a computer = Rs. 24480
Loss% = 4

$$\begin{gathered} \mathrm{CP}\mathrm{of}\mathrm{the}\mathrm{c}\mathrm{omputer}=\{\frac{100}{(100-\mathrm{Loss}\%)}\times \mathrm{SP}\} \\ =\{\frac{100}{(100-4)}\times 24480\} \\ =\frac{2448000}{96} \\ =\mathrm{Rs}.25500 \end{gathered}$$

In order to gain 4%:
$$\begin{gathered} \mathrm{SP}\mathrm{of}\mathrm{the}\mathrm{c}\mathrm{omputer}=\{\frac{(100+\mathrm{Gain}\%)}{100}\times \mathrm{CP}\} \\ =\{\frac{(100+4)}{100}\times 25500\} \\ =\{\frac{104}{100}\times 25500\} \\ =\frac{2652000}{100} \\ =\mathrm{Rs}.26520 \end{gathered}$$