Question

A cycle dealer offers a discount of 10% and still makes a profit of 26%. What is the actual cost to him of a cycle whose marked price is Rs 840?

Answer 1

$$\begin{gathered} Given, \\ \mathrm{MP}\mathrm{of}\mathrm{the}\mathrm{cycle}=\mathrm{Rs}.840 \\ \mathrm{Discount}=10\% \\ \mathrm{So},\mathrm{SP}=\mathrm{MP}\times \left(\frac{100-\mathrm{Discount}\%}{100}\right) \\ =840\times \left(\frac{100-10}{100}\right) \\ =\mathrm{Rs}.756 \\ \mathrm{Now},\mathrm{SP}=\mathrm{Rs}.756\mathrm{and}\mathrm{Gain}=26\% \\ \mathrm{So},\mathrm{CP}=\frac{100}{100+\mathrm{Gain}\%}\times 756 \\ =\frac{100}{126}\times 756 \\ =\mathrm{Rs}.600 \\ \mathrm{Hence},\mathrm{the}\mathrm{actual}\mathrm{cost}ofthecycle\mathrm{is}\mathrm{Rs}.600. \end{gathered}$$