Question

the selling price of 50 articles is equal to the cost price of the same 60 articles.the profit percent not the loss percent will be?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given : The selling price of 50 articles is equal to the cost price of the same 60 articles.

To find : The profit or loss.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the profit or loss percentage)

Let, the cost price of 1 article = Rs. x .

So, cost price of 60 articles :

= Rs. (60 × x)

= Rs. 60x

Now,

Selling price of 50 articles will be :

= Cost price of 60 articles

= Rs. 60x

So,

Selling price of 1 article :

= Rs. (60x ÷ 50)

= Rs. (6x/5)

Now,

Cost price of 1 article < Selling price of 1 article

(x < 6x/5 ,or, x < 1.2x)

So, there will be a profit.

And,

The profit amount :

= Selling price of 1 article - Cost price of 1 article

= Rs. [(6x/5) - x]

= Rs. (6x - 5x)/5

= Rs. x/5

The profit percentage :

= 100 × (Profit amount ÷ Cost price)

= 100 × [(x/5) ÷ x]

= 100 × [(x/5) × (1/x)]

= 100 × (1/5)

= 20%

(This will be considered as the final result.)

Hence, there will be a 20% profit.