Question

The cost price of 20 articles is the same as the selling price of x articles of same type. If the profit is 25%, then the value of x is?

Answer 1

Answer:

We will assume that the cost price of each article is 1 unit. Thus the total cost price would be 20×1=20

. Now on each article there should be a profit of 25%. So we will calculate what the price of each article with 25% profit will be if all those x articles are sold at 20 units. This is because the cost price of 20 articles is the same as the selling price of x articles.

Therefore, the price of each article if x articles are sold for 20 units will be 20x

.

Now the profit should be 25%. So the cost of each article would be (1+25100)×1

So equating these two we would get,

20x=(1+25100)×1

Taking LCM and solving we would get,

20x=(100+25100)×120x=(125100)

Cancelling the common factors, we will get,

4x=14

Cross-multiplying we get,

x=16.