Question

10. A trader uses a weight of 920 g instead of 1 kg and sells
the articles at the marked price which is 15% above the
cost price. Find the profit percentage.​

Answer 1

Given:

Weight of 920g used instead of 1kg (1000 g).

Marked price is 15% above the cost price.

To find:

Profit percentage = ?

Solution:

Let us assume the values in such a way such that our calculations become easy.

Let the cost price of 1 kg or 1000 gm = 1000 Rs.

Now, marked price = 15% above cost price

Therefore, marked price = 1000 + 15% of 1000 = 1000+150 = 1150 Rs.

It is also given that trader actually sells 920 gm instead of 1000 gm.

Therefore, he sells 920 gm in Rs. 1150.

$\therefore$ Sales price = Rs. 1150

Cost price is of 920 g only, so cost price = 920 Rs.

Formula for profit percentage:

$Profit \% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100$

Putting the values in the formula:

$Profit \% = \dfrac{1150- 920}{920}\times 100\\\Rightarrow Profit \% = \dfrac{230}{920}\times 100\\\Rightarrow \bold{Profit \% = 25\%}$

Hence, the profit percentage profit is 25%.