At what price should the Karan mark a sewing machine that costs him Rs. 1200/- so that even after offering a 20% discount, he makes 25% profit?
A)rs. 2,025/-
B)rs.1,900/-
C)rs. 1,675/-
D)rs. 1,875/-

Question

Quizplus · Accepted Answer

To achieve a 25% profit on a cost of Rs. 1200, Karan needs to sell the sewing machine for Rs. 1200 + 25% of Rs. 1200 = Rs. 1200 + Rs. 300 = Rs. 1500. To find the marked price before a 20% discount, let the marked price be x. A 20% discount on x gives us x - 20% of x = 80% of x = 0.8x. This amount should equal the selling price for a 25% profit, which is Rs. 1500. So, 0.8x = Rs. 1500. Solving for x gives x = Rs. 1500 / 0.8 = Rs. 1875. Therefore, the sewing machine should be marked at Rs. 1875.

At What Price Should the Karan Mark a Sewing Machine