Question

Shilpa buys some pencils at the rate of 15 for ₹24 and sells them at the rate of 10 for ₹18. Find her profit or loss percentage.

Answer 1

cp of 1 pencil =24/15=1.6

sp of 1 pencil = 18/10=1.8

gain%= (1.8 -1.6)/1.6

=.125×100

=12.5%

Answer 2

Given:

Shilpa buys some pencils at the rate of 15 for ₹24 and sells them at the rate of 10 for ₹18. Find her profit or loss percentage.

Solution:

To solve this type of problems make the number of article purchased, equal to the number of article sold.

Know that, Shilpa buys some pencils at the rate of 15 for ₹24,

Therefore, the cost price of 30 pencils is,

$\[\begin{array}{l} = 24 \times 2\\ = Rs.48\end{array}\]$

And  she sells them at the rate of 10 for ₹18.

Therefore, the selling price of 30 pencils is,

$\[\begin{array}{l} = 18 \times 3\\ = Rs.54\end{array}\]$

Profit,

$\[\begin{array}{l} \Rightarrow P = 54 - 48\\ \Rightarrow P = Rs.6\end{array}\]$

Find the percentage profit,

$\[ = \frac{6}{{48}} \times 100\]$

$\[ = \frac{{25}}{2}\]$

$\[ = 12.5\% \]$

Hence, her profit  percentage is 12.5%.