A dealer bought a microwave and a geyser for Rs. 15000, and sold them earning a total profit of 22%, such that he sold the microwave at a profit of 20% after giving a discount of 10% on its marked price and the geyser at a profit of 25%. How much total profit percentage he would have earned, if he had sold the microwave at a discount of 15%?

A dealer bought a microwave and a geyser for Rs. 15000, and sold them earning a total profit of 22%, such that he sold the microwave at a profit of 20% after giving a discount of 10% on its marked price and the geyser at a profit of 25%. How much total profit percentage he would have earned, if he had sold the microwave at a discount of 15%? Correct Answer 18%

Let the cost price of the microwave and the geyser be Rs. ‘x’ and Rs. ‘y’ respectively

⇒ x + y = 15000       ----(1)

Total profit earned = 22% of 15000 = Rs. 3300

⇒ Total selling price = 15000 + 3300 = Rs. 18300

∵ Profit earned on microwave is 20% & on geyser is 25%,

⇒ Selling price of microwave = x + 20% of x = 1.2x

⇒ Selling price of geyser = y + 25% of y = 1.25y

⇒ 1.2x + 1.25y = 18300       ----(2)

Multiplying (1) by 1.2 and subtracting from (2),

⇒ 1.2x + 1.25y - 1.2x - 1.2y = 18300 - 18000

⇒ 0.05y = 300

⇒ y = Rs. 6000

⇒ x = 15000 - 6000 = Rs. 9000

∵ The microwave was sold at a discount of 10%,

⇒ 90% of Marked price of microwave = Selling price of microwave = 1.2x = 1.2(9000) = Rs. 10800

⇒ Marked price of microwave = 10800/0.9 = Rs. 12000

Now, if the microwave was sold at a discount of 15% instead of 10%,

Profit earned would have reduced by 15 - 10 = 5% of 12000 = Rs. 600

⇒ Total profit earned would be = 3300 - 600 = Rs. 2700

∴ If the microwave was sold at a discount of 15%, Profit earned would be = 2700/15000 × 100 = 18%

Related Questions

An article was sold after giving a discount on the marked price. What was the discount percentage given? I. The profit earned after giving the discount is 20%. Had the percentage of discount been doubled the seller would have incurred a loss of 4%. II. Marked price of the article is 60% above the cost price of the article.