After successive discounts of 15% and 20%, an article was sold for ₹680. What is the marked price of the article?

Correct option is B

Given:

Two successive discount of 15% and 20%

Selling Price = ₹680

Formula Used:

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

Discount =Marked Price - Selling Price

Successive discount = $$D_1 + D_2 - \frac{D_1 D_2}{100}$$​​

Solution:

Let the marked price be x

Discount = 15% of x = 0.15x

Selling Price = x - 0.15x =0.85x

Another discount = 20% of 0.85x = 0.17x

Selling Price = 0.85x = 0.17x = 0.68x

0.68x = 680

​$$x =\frac{680}{0.68} = ₹1000$$​​

Alternative Method:

Successive discount = $$15 +20 - \frac{(15)(20)}{100}$$​​

= 35 - 3

=32%

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

​$$= 680 \times \frac{100}{68} = ₹1000$$​​