The marked price of an article is ₹2,800. It is sold at three successive discounts of 15%, 8% and 5%. Find the selling price of the article (in ₹).

Correct option is A

Given:
Marked price (MP) = ₹2,800
Successive discounts: 15%, 8%, and 5%
Formula Used:
Selling price after successive discounts:
Selling Price = $$\text{MP} \times \left( 1 - \frac{\text{First Discount}}{100} \right) \times \left( 1 - \frac{\text{Second Discount}}{100} \right) \times \left( 1 - \frac{\text{Third Discount}}{100} \right)$$​​
Solution:
Apply the first discount of 15%:
After 1st discount = $$2800 \times \left( 1 - \frac{15}{100} \right) = 2800 \times 0.85 = 2380$$​​
Apply the second discount of 8%:
After 2nd discount = $$2380 \times \left( 1 - \frac{8}{100} \right) = 2380 \times 0.92 = 2189.60$$​​
Apply the third discount of 5%:
After 3rd discount = $$2189.60 \times \left( 1 - \frac{5}{100} \right) = 2189.60 \times 0.95 = 2,080.12$$​​
Thus, the  correct option is (a) ₹2,080.12

Alternate Solution:

Let, Selling price = x

15% = $$-\frac{3}{20}$$ ; 8% = $$-\frac{2}{25}$$ ; 5% =$$-\frac{1}{20}$$​​

x = $$2800 \times \frac{17}{20} \times \frac{23}{25}\times \frac{19}{20}$$ = ₹2,080.12​