Question

Ajeet calculates his profit percentage as a percentage of selling price.He sells an item for Rs 150 and calculator his profit percentage to be 20%.What is the true profit percentage?

Answer 1

Step-by-step explanation:

20%=1/5

Let sp=5

Then

Cp=5-1=4

Here

5=150(given)

1=150/5=30

So

Cp=4×30=120

Real profit=150-120=30

Profit%=30/120×100=25%

Answer 2

Therefore the true profit percentage is Rs. 25%.

Given:

The selling price of the product = SP = Rs. 150

Profit percentage when calculated as a percentage of Selling price = 20%

To Find:

The true profit percentage.

Solution:

The given question can be solved as shown below.

When the profit percentage is calculated as a percentage of the Selling price,

⇒ Profit percentage = ( SP-CP )/SP×100

⇒ 20 = ( 150 - CP )/150 × 100

⇒ 30 = 150 - CP

⇒ CP = 150 - 30 = 120

So the Cost price of the product is Rs. 120/-

The true profit percentage is given by,

⇒ Profit percentage = ( SP-CP )/CP×100

⇒ Profit percentage = ( 150 - 120 )/120×100

⇒ Profit percentage = 30/120 ×100 = 100/4 = 25%

Therefore the true profit percentage is Rs. 25%.

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