Question

Q.6 and Q.7

Q6. If the price of an article is increased by 25%, the increase is Rs.10. Find the new price.


Q7. If the price of an article is reduced by 10%, the reduction is Rs. 40. What is the old price?

Answer 1

Dear Student,

$$\begin{gathered} \mathit{Q}\mathbf{}\mathbf{6}\mathbf{.}LetthepriceofarticlebeRsx. \\ Then,25\%ofx=Rs10 \\ \frac{25}{100}\times x=10 \\ x=\frac{10\times 100}{25} \\ x=Rs40. \\ \mathit{N}\mathit{e}\mathit{w}\mathbf{}\mathit{p}\mathit{r}\mathit{i}\mathit{c}\mathit{e}\mathbf{}\mathbf{=}\mathbf{}\mathit{R}\mathit{s}\mathbf{}\left(\mathbf{40}\mathbf{+}\mathbf{10}\right)\mathbf{}\mathbf{=}\mathbf{}\mathit{R}\mathit{s}\mathbf{}\mathbf{50} \\ Q7.LetthepriceofarticlebeRsx. \\ Then,10\%ofx=Rs40 \\ \frac{10}{100}\times x=40 \\ x=\frac{40\times 100}{10} \\ x=Rs400 \\ Hence,oldprice=Rs400 \end{gathered}$$
Regards