Ex.8.2 Q3 Comparing Quantities Solutions - NCERT Maths Class 8

A shopkeeper buys \(80\) articles for \(\rm{Rs}\, 2,400\) and sells them for a profit of \(16\%\). Find the selling price of one article.

Text Solution

What is known?

Number of articles bought \(= 80\)

Cost Price \(=\rm {Rs} \, 2,400\)

Profit Percentage \(= 16\%\)

What is unknown?

Selling price of one article

Reasoning:

With Cost Price and Profit Percentage, the Selling Price of all articles can be found. Dividing Selling Price by number of articles will result in Selling Price of one article.

Steps:

Cost Price of \(80\) articles \(= 2400\)

Profit Percentage \(= 16\%\)

\(\begin{align}\text{Selling Price }\, &= \frac{{{116}}}{{{100}}}{ \times 2400}\\&= \rm{Rs}\,{2784}\end{align}\)

OR

\(\begin{align}S.P. &= C.P. + 16\% {\rm{ }}C.P.\\ &= 2400 + \frac{{{16}}}{{{100}}}{ \times 2400}\\
 &= {2400 + 384}\\ &= {\rm{Rs}}\;2784\\\begin{pmatrix}S.P\, {\rm{ of }}\\{\,\rm one{\rm\,article}}\end{pmatrix} &= \frac{{{2784}}}{{{80}}}\\
& = {\rm{Rs}}\;34.80\end{align}\)

Selling Price of one article \(=\rm {Rs} \, 34.80\)