Abhi bought two articles for ₹624. He sold one at a loss of 14% and the other at a profit of 14%.If the selling price of both the articles is equal, then the difference between their cost prices (in ₹)is:

As per given in the question,

The cost price of the two articles $$=624$$ Rs

First article sold at the loss of 14%,

Second article sold at the gain of 14%,

Let the sold price of both article =x Rs.

Hence, the cost price of the first article =86x Rs.

The cost price of the second article =114x Rs.

Hence the cost price of the article $$86x+114x =624$$

$$\Rightarrow 200x=624$$

$$\Rightarrow x=\dfrac{624}{200}=3.12$$

Hence, the cost price of the first article $$=86\times 3.12 =268.32$$Rs.

the cost price of the second article $$=114\times 3.12=355.68$$Rs.

Hence, the required difference $$=355.68-268.32=87.36$$Rs.