# Ex.8.2 Q4 Comparing Quantities Solution - NCERT Maths Class 8

Go back to  'Ex.8.2'

## Question

The cost of an article was $$\rm {Rs}\, 15,500$$. $$\rm{Rs}\, 450$$ was spent on its repairs. If it is sold for a profit of $$15\%$$, find the selling price of the article.

Video Solution
Comparing Quantities
Ex 8.2 | Question 4

## Text Solution

What is known?

Cost Price of the article $$= \rm{Rs}\, 15,500$$

Overhead charges $$= \rm{Rs}\, 450$$

Profit (in$$\%$$) $$= 15\%$$

What is unknown?

Selling Price of the article

Reasoning:

New Cost Price $$=$$ Cost Price $$+$$ Overhead charges

Selling Price $$=$$ Cost Price $$+$$ Profit (Profit  $$= 15\%$$ of C.P.)

Steps:

\begin{align}{\text{New}} \,C.P. &= 15500 + 450\\ &= 15950\\S.P. &= C.P. + \text{Profit}\\&= C.P. + 15\% \times C.P.\\& = C.P. + \frac{{15}}{{100}} \times C.P.\\& = 115\% C.P.\\S.P.&=\frac{{115}}{{100}}\times{ 15950} \\ &=18342.50\end{align}

Selling Price of the article $$= \rm{Rs}\, 18,342$$

Learn from the best math teachers and top your exams

• Live one on one classroom and doubt clearing
• Practice worksheets in and after class for conceptual clarity
• Personalized curriculum to keep up with school