Question

On selling a sofa-set for Rs 21600, a dealer gains 8%. For how much did he purchase it?

Answer 1

SP of the sofa set = Rs. 21600
Gain% = 8

$$\begin{gathered} \mathrm{CP}\mathrm{of}\mathrm{the}\mathrm{sofa}\mathrm{se}t=\{\frac{100}{(100+\mathrm{G}\mathrm{a}\mathrm{i}\mathrm{n}\%)}\times \mathrm{S}\mathrm{P}\} \\ =\{\frac{100}{(100+8)}\times 21600\} \\ =\frac{2160000}{108} \\ =\mathrm{R}\mathrm{s}.20000 \end{gathered}$$

He purchased it at the cost of Rs. 20000.