A shopkeeper gives an initial discount of 15% on the marked price of t

1.	A shopkeeper gives an initial discount of 15% on the marked price of the sewing machine. He then gives 8% additional discount on the discounted price. If the final sale price of the machine is Rs. 1,564, find the marked price.1. Rs. 3,0002. Rs. 2,5003. Rs. 2,0004. Rs. 3,500
Answer» Correct Answer - Option 3 : Rs. 2,000 Given: Initial discount = 15% Additional discount = 8% Final price = Selling price = Rs. 1,564 Concept used: Selling price = Markup price × (100 - discount percentage)/100 Calculation: Let the markup price be Rs.x Selling price when 15% discount is given = x × (100 - 15)/100 ⇒ 85x/100 ⇒ 0.85x After giving an additional discount of 8% on discounted price, now the selling price = 0.85x × (100 - 8)/100 ⇒ 0.85x × 92/100 ⇒ 0.782x According to the question, Selling price = Rs. 1,564 ⇒ 0.782x = 1,564 ⇒ x = 1564/0.782 ⇒ x = Rs. 2000 ∴ The markup price is Rs. 2000

A shopkeeper gives an initial discount of 15% on the marked price of the sewing machine. He then gives 8% additional discount on the discounted price. If the final sale price of the machine is Rs. 1,564, find the marked price.1. Rs. 3,0002. Rs. 2,5003. Rs. 2,0004. Rs. 3,500

Answer» Correct Answer - Option 3 : Rs. 2,000

Given:

Initial discount = 15%

Additional discount = 8%

Final price = Selling price = Rs. 1,564

Concept used:

Selling price = Markup price × (100 - discount percentage)/100

Calculation:

Let the markup price be Rs.x

Selling price when 15% discount is given = x × (100 - 15)/100

⇒ 85x/100

⇒ 0.85x

After giving an additional discount of 8% on discounted price, now the selling price = 0.85x × (100 - 8)/100

⇒ 0.85x × 92/100

⇒ 0.782x

According to the question, Selling price = Rs. 1,564

⇒ 0.782x = 1,564

⇒ x = 1564/0.782

⇒ x = Rs. 2000

∴ The markup price is Rs. 2000

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