Question

Find the S.P. if
(i) M.P. = Rs 1300 and Discount = 10%
(ii) M.P. = Rs 500 and Discount = 15%

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)\mathrm{We}\mathrm{know}\mathrm{that}\mathrm{SP}=\mathrm{MP}-D\mathrm{iscount} \\ \mathrm{Discount}\%=\frac{\mathrm{Discount}}{\mathrm{MP}}\times 100 \\ \mathrm{Discount}=\frac{\mathrm{Discount}\%\times \mathrm{MP}}{100} \\ =\frac{10\times 1300}{100} \\ \mathrm{So},\mathrm{SP}=\mathrm{Rs}.\left(1300-\left(\frac{10}{100}\times 1300\right)\right) \\ =1300-130 \\ =\mathrm{Rs}.1170 \\ \left(\mathrm{ii}\right)\mathrm{We}\mathrm{know}\mathrm{that}\mathrm{SP}=\mathrm{MP}-D\mathrm{iscount} \\ \mathrm{Discount}\%=\frac{\mathrm{Discount}}{\mathrm{MP}}\times 100 \\ \mathrm{Discount}=\frac{\mathrm{Discount}\%\times \mathrm{MP}}{100} \\ =\frac{15\times 500}{100} \\ \mathrm{So},\mathrm{SP}=\mathrm{Rs}.\left(500-\left(\frac{15}{100}\times 500\right)\right) \\ =\mathrm{Rs}.(500-75) \\ =\mathrm{Rs}.425 \end{gathered}$$