Question

By selling a bouquet for Rs 322, a florist gains 15%. At what price should he sell it to gain 25%?

Answer 1

SP of the bouquet = Rs 322
Gain percentage = 15%
$$\begin{gathered} \mathrm{CP}\mathrm{of}\mathrm{the}\mathrm{bouquet}=\left(\frac{100}{100+\mathrm{gain}\%}\right)\times \mathrm{SP} \\ =\mathrm{Rs}\left(\frac{100}{100+15}\right)\times 322 \\ =\mathrm{Rs}\frac{100}{115}\times 322 \\ =\mathrm{Rs}280 \end{gathered}$$

Now, CP = Rs 128 and desired gain percentage = 25%

$$\begin{gathered} \therefore \mathrm{Desired}\mathrm{S}\mathrm{P}=\left(\frac{100+\mathrm{gain}\%}{100}\right)\times \mathrm{CP} \\ =\mathrm{Rs}\frac{125}{100}\times 280 \\ =\mathrm{Rs}350 \end{gathered}$$

​Hence, the selling price to obtain the desired gain must be Rs 350.