After applying successive discounts of 10% and 5% on an article, it was sold at Rs. 513. Find the marked price of the article.

Let the marked price of the article be = MP = Rs. x

Step 1: Calculating selling price after first discount

First discount = D1 = 10% of MP = 10% of x

Selling price = SP1 = MP – Discount

SP1 = x – 10% of x = $(\frac{9}{{10}})$ x

Step 2: Calculating selling price after second discount

Second discount = D2 = 5% of SP1 = 5% of $(\frac{9}{{10}})$ x

Selling price = SP2 = SP1 – D2

SP2 = $(\frac{9}{{10}})$ x - 5% of $(\frac{9}{{10}})$ x

⇒ SP2 = $(\frac{{95}}{{100}})$ × $(\frac{9}{{10}})$ x

⇒ 513 = $(\frac{{95}}{{100}})$ × $(\frac{9}{{10}})$ x (? Article was finally sold at Rs. 513)

⇒ x = 513 × $(\frac{{100}}{{95}})$ × $(\frac{{10}}{9})$

⇒ x = Rs. 600 or MP = Rs. 600