Question

If merchant estimate his profit as 20% of sp, what is his real profit percentage

Answer 1

Hey sup!

Let the Selling price be 100x.
Profit=20%of SP = 20/100 × 100x = 20x.
So, cost price= 100x-20x=80x.
Real profit%= profit/CP × 100.
=20x/80x * 100.
=25%.

Hope it helps.

Answer 2

The real profit percentage = 25%

Given :

A merchant estimate his profit as 20% of SP

To find :

The real profit percentage

Solution :

Step 1 of 2 :

Write down Cost price and Selling price

Here it is given that a merchant estimate his profit as 20% of SP

Let Selling price = SP = 100x

∴ Profit amount = 20x

Cost price of

= CP

= Selling price - Profit amount

= 100x - 20x

= 80x

Step 2 of 2 :

Calculate real profit percentage

Hence the required real profit percentage

$\displaystyle \sf{ = \dfrac{Profit}{CP} \times 100 \% }$

$\displaystyle \sf{ = \frac{20x}{80x} \times 100 \% }$

$\displaystyle \sf{ = \frac{1}{4} \times 100 \% }$

$\displaystyle \sf{ = 25 \% }$

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