A loss of 25% gets converted into a profit of 12% when the selling price of an article is increased by ₹111. Find the cost price of the article.

Correct option is B

Given:

Loss of 25% is converted into profit of 12%

Selling Price increased by ₹111

Formula Used:

Loss Percent =$$\frac{Loss}{CP} \times 100$$​​

Loss = CP - SP

Profit = SP -CP

Profit Percent $$= \frac{Profit}{CP} \times 100$$​​

Solution:

Let the Cost Price be x

Then loss = 25% of x =0.25x

Selling Price = x - 0.25x = .75x

Profit = 12% os x = 0.12x

Selling Price = x + 0.12x = 1.12x

To make a profit of 12% selling price increased by ₹111

Hence 1.12x - 0.75x = 111

0.37x =111

​$$x= \frac{111}{0.37} = ₹300$$ 

Alternate Solution: ​

if there is loss and profit on same cost price then

25%(loss) + 12% (profit) = 111

37% = 111 

1% = $$\frac{111}{37}$$​ 

100% = $$\frac{111}{37} \times 100 = ₹300$$​​