A person sold an article for Rs. 1,500. Had he offered a discount of 1

1.	A person sold an article for Rs. 1,500. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. If he sells the article now at a profit of 12%, then the selling price will be:1. Rs. 1,4602. Rs. 1,3803. Rs. 1,3724. Rs. 1,400
Answer» Correct Answer - Option 4 : Rs. 1,400 Given: Initial Selling Price of the article = Rs. 1500 Initial Discount on the Selling Price = 10% Initial Profit on selling the article = 8% Final Profit = 12% Formulae Used: Selling Price = [(100 + Profit%) / 100] × Cost Price New Selling Price (SP), when discount on the Old Selling Price is given: New SP = [(100 - Discount%) / 100] × Old SP Calculation: ∵ 10% initial discount on the initial SP is given, New SP = [(100 - 10)/100] × 1500 ⇒ New SP = Rs. 1350 On this new SP, the profit earned is 8%, we obtain the CP as: 1350 = [(100 + 8) / 100] × CP ⇒ CP = 135000/108 ⇒ CP = Rs. 1250 Now, when the article is sold at a profit of 12%, we obtain the final SP as: Final SP = [(100 + 12) / 100] × 1250 ⇒ Final SP = Rs. 1400 ∴ The required Selling Price (SP) is Rs.1400

A person sold an article for Rs. 1,500. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. If he sells the article now at a profit of 12%, then the selling price will be:1. Rs. 1,4602. Rs. 1,3803. Rs. 1,3724. Rs. 1,400

Answer» Correct Answer - Option 4 : Rs. 1,400

Given:

Initial Selling Price of the article = Rs. 1500

Initial Discount on the Selling Price = 10%

Initial Profit on selling the article = 8%

Final Profit = 12%

Formulae Used:

Selling Price = [(100 + Profit%) / 100] × Cost Price

New Selling Price (SP), when discount on the Old Selling Price is given:

New SP = [(100 - Discount%) / 100] × Old SP

Calculation:

∵ 10% initial discount on the initial SP is given,

New SP = [(100 - 10)/100] × 1500

⇒ New SP = Rs. 1350

On this new SP, the profit earned is 8%, we obtain the CP as:

1350 = [(100 + 8) / 100] × CP

⇒ CP = 135000/108

⇒ CP = Rs. 1250

Now, when the article is sold at a profit of 12%, we obtain the final SP as:

Final SP = [(100 + 12) / 100] × 1250

⇒ Final SP = Rs. 1400

∴ The required Selling Price (SP) is Rs.1400