Question

Mauli purchased a designer saree from Mumbai at $\frac{8}{9}\mathrm{th}$ its MRP, When she came back to Delhi, her neighbor coaxed Mauli to sell the saree to her. She was even ready to pay $9\%$ more than its MRP. What would Mauli's gain percentage be, If she decides to sell the saree to her neighbor?

Answer 1

Find the gain percent.

Given: The cost price of the saree is $\frac{8}{9}\mathrm{th}$ MRP.

Let the MRP be $\mathrm{x}.$

Then cost price of the saree is $\frac{8}{9}\mathrm{x}.$

The amount will neighbor pay for the saree is $\mathrm{x}+0.09\mathrm{x}=1.09\mathrm{x}$

The formula for Selling Price.

$$\begin{gathered} \Rightarrow \mathbf{}\mathbf{}\mathit{S}\mathit{P}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{100}\mathbf{+}\mathbf{G}\mathbf{a}\mathbf{i}\mathbf{n}\mathbf{\%}}{\mathbf{100}}\mathbf{\times }\mathit{C}\mathit{P} \\ \Rightarrow 1.09\mathrm{x}=\frac{100+\mathrm{Gain}\%}{100}\times \frac{8}{9}\mathrm{x} \\ \Rightarrow 1.09=\frac{100+\mathrm{Gain}\%}{100}\times \frac{8}{9} \\ \Rightarrow 1.09\times 900=(100+\mathrm{Gain}\%)\times 8 \\ \Rightarrow 981=800+8\mathrm{Gain}\% \\ \Rightarrow 981-800=8\mathrm{Gain}\% \\ \Rightarrow 181=8\mathrm{Gain}\% \\ \Rightarrow \frac{181}{8}=\mathrm{Gain}\% \\ \Rightarrow 8=\mathrm{Gain}\% \end{gathered}$$

Hence gain $\%$ is $8.$