After applying successive discounts of 10% and 5% on an article, it wa

1.	After applying successive discounts of 10% and 5% on an article, it was sold at Rs. 513. Find the marked price of the article.1). Rs. 6502). Rs. 6053). Rs. 5604). Rs. 500
Answer» 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

After applying successive discounts of 10% and 5% on an article, it was sold at Rs. 513. Find the marked price of the article.1). Rs. 6502). Rs. 6053). Rs. 5604). Rs. 500

Answer»

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

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