Question

Tick (✓) the correct answer:
A dealer lists his articles at 20% above cost price and allows a discount of 10%. His gain per cent is
(a) 10%
(b) 8%
(c) 9 %
(d) $8\frac{1}{4}\%$

Answer 1

​(b) 8%

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{CP}\mathrm{be}\mathrm{Rs}100. \\ \mathrm{Then},\mathrm{marked}\mathrm{price}=\mathrm{Rs}120 \\ \mathrm{Discount}=10\%\mathrm{of}\mathrm{MP}\mathrm{} \end{gathered}$$

$$\begin{gathered} =\left(10\%\mathrm{of}\mathrm{Rs}120\right) \\ =\mathrm{Rs}.\left(120\times \frac{10}{100}\right) \\ =\mathrm{Rs}.12 \end{gathered}$$

$$\begin{gathered} \mathrm{Now},\mathrm{SP}=\left(\mathrm{MP}\right)-\left(\mathrm{discount}\right) \\ =\mathrm{Rs}\left(120-12\right) \\ =\mathrm{Rs}108 \\ \mathrm{Gain}\mathrm{percentage}=\left(108-100\right)\% \\ =8\% \end{gathered}$$