Question

Calculate the profit % , if the cost price is 30% of selling price​

Answer 1

Step-by-step explanation:

Given :-

The cost price is 30% of selling price .

To find :-

Calculate Profit Percentage ?

Solution :-

Let the selling price be Rs. X

Then ,

The Cost Price = 30% of the selling price

=> Cost Price = 30% × Selling Price

=> Cost Price = (30/100)×X

=> Cost Price = (3/10)×X

=> Cost Price = 3X/10

Now,

We have ,

SP > CP

Therefore, Profit = Selling Price-Cost Price

=> P = X-(3X/10)

=> P = (10X-3X)/10

=> P = 7X/10

Noe

we know that

P% = (P/CP)×100

=> P% = [(7X/10)/(3X/10)]×100

=> P% = [(7X/10)×(10/3X)]×100

=> P% = (70X/30X)×100

=> P% = (7/3)×100

=> P% = (7×100)/3

=> P% = 700/3 %

=> P% = 233 1/3 %

=> P% = 233.33 %

Short cut:-

Let the Selling Price be 100

Then, The Cost Price = 30% of SP

=> CP = 30

Now

Profit = SP-CP = 100-30 = 70

P% = (70/30)×100

=> P% = 700/3

=> P% = 700/3 %

=> P% = 233 1/3 %

=> P% = 233.33 %

Answer:-

The Profit Percentage for the given problem is 700/3 % or 233 1/3 % or 233.33 %

Used formulae:-

→ Profit = Selling Price-Cost Price

→ P% = (P/CP)×100

• P = Profit
• CP = Cost Price
• SP = Selling Price

Answer 2

Step-by-step explanation:

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