A person bought an article and sold it at a loss of 15%. If he would have sold it for ₹50 more, he could have gained 10%. What was the original cost price of the article?

Let's assume the original cost price of the article is 100y.

A person bought an article and sold it at a loss of 15%.

Then selling price = 100y of (100-15)%

= 100y of 85%

= $$100y\times\frac{85}{100}$$

= 85y

If he would have sold it for ₹50 more, he could have gained 10%.

100y of (100+10)% = 85y+50

100y of 110% = 85y+50

$$100y\times\frac{110}{100}=85y+50$$

$$110y=85y+50$$

$$25y = 50$$

y = 2

the original cost price of the article = 100y

= $$100\times2$$

= 200