An article is marked 50% above its cost price. If the shopkeeper gives two successive discounts of 10% and 25% and still earns a profit of Rs.15 then the cost price of the article is:

Correct option is C

Given:

Article marked above cost price = 50%

Discount are 10% and 25%

Profit = ₹15

Formula Used:

Discount = $$\frac{Discount\ Percent}{100} \times Marked\ Price$$​​

Profit = SP - CP

Solution:

Let the cost price of article be x

Then marked price will be = x + 50% of x = 1.5x

First discount = 10% of 1.5x = 0.15x

Price after first discount = 1.5x - 0.15x = 1.35x

Second discount = 25% of 1.35x = 0.3375x

Selling Price after second discount = 1.35x - 0.3375x = 1.0125x

Profit = 1.0125x -x = 0.0125x

And 0.0125x = 15

x$$= \frac{15}{0.0125} = ₹1200$$​​