Question

Find discount in percent when
(i) M.P. = Rs 900 and S.P. = Rs 873
(ii) M.P. = Rs 500 and S.P. = Rs 425

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)\mathrm{We}\mathrm{know}\mathrm{that}\mathrm{SP}=\mathrm{MP}-D\mathrm{iscount} \\ \mathrm{So},873=900-D\mathrm{iscount} \\ Therefore,\mathrm{Discount}=\mathrm{Rs}.(900-873) \\ =\mathrm{Rs}.27 \\ \mathrm{Discount}\%=\frac{\mathrm{Discount}}{\mathrm{MP}}\times 100\% \\ =\frac{27}{900}\times 100\% \\ =3\% \\ \left(\mathrm{ii}\right)\mathrm{We}\mathrm{know}\mathrm{that}\mathrm{SP}=\mathrm{MP}-D\mathrm{iscount} \\ \mathrm{So},425=500-D\mathrm{iscount} \\ Therefore,\mathrm{Discount}=\mathrm{Rs}.(500-425) \\ =\mathrm{Rs}.75 \\ \mathrm{Discount}\%=\frac{\mathrm{Discount}}{\mathrm{MP}}\times 100\% \\ =\frac{75}{500}\times 100\% \\ =15\% \end{gathered}$$