Question

By selling a flower pot for Rs 322, a man gains 15%. At what price should he sell it to gain 20%?

Answer 1

$$\begin{gathered} \mathrm{SP}=\mathrm{Rs}322 \\ \mathrm{Gain}\mathrm{percentage}=15\% \\ \therefore \mathrm{CP}=\left\{\frac{100}{\left(100+\mathrm{gain}\%\right)}\times \mathrm{SP}\right\} \end{gathered}$$
$$\begin{gathered} =\mathrm{Rs}.\left\{\frac{100}{\left(100+15\right)}\times 322\right\} \\ =\mathrm{Rs}.\left(\frac{100}{115}\times 322\right) \\ =\mathrm{Rs}.280 \end{gathered}$$
$\mathrm{Now},\mathrm{desired}\mathrm{SP}=\left\{\frac{\left(100+\mathrm{gain}\%\right)}{100}\times \mathrm{CP}\right\}$
$$\begin{gathered} =\mathrm{Rs}.\left\{\frac{\left(100+20\right)}{100}\times 280\right\} \\ =\mathrm{Rs}.\left(\frac{120}{100}\times 280\right) \\ =\mathrm{Rs}.336 \end{gathered}$$

∴ The desired selling price is Rs 336.