Question

Kabir buys an article with 25% discount on its marked price. He makes a profit of 10% by selling it at Rs. 660. The marked price is ___________.

A. Rs. 600
B. Rs. 700
C. Rs. 800
D. Rs. 685

Answer 1

To find the marked price of an item after a 25% discount and a 10% profit selling at Rs. 660, the cost price is calculated first by dividing the selling price by 1.10, and then the marked price is found by dividing the cost price by 0.75. The marked price is Rs. 800 (option C).

Step-by-step explanation:

To find the marked price, we need to determine the selling price first. Since Kabir makes a profit of 10% by selling the article at Rs. 660, we can set up the equation:

Selling Price = Cost Price + Profit

660 = Cost Price + (10/100) * Cost Price

660 = Cost Price * (1 + 10/100)

660 = Cost Price * (11/10)

Cost Price = Rs. 600

Now, we can calculate the marked price using the discount of 25%. Let the marked price be M.

M - (25/100) * M = 600

M - (1/4) * M = 600

M - (M/4) = 600

(4M - M) / 4 = 600

3M / 4 = 600

3M = 2400

M = Rs. 800

Therefore, the marked price is Rs. 800.