A shopkeeper allows a 20% discount on the marked price and still makes a 20% profit. What is the ratio of the marked price to the cost price? MCQ with Answer and Explanation

Explanation:
Let initial Cost Price = 100x. Initial Selling Price = 115x. New Cost Price = 90x. New Selling Price = 90x * 1.20 = 108x. Difference = 115x - 108x = 7x. 7x = 21. x = 3. Initial Cost Price = 100 * 3 = 300.

Explanation:
CP of first = 1000/1.2 = 833.33; CP of second = 1000/0.8 = 1250; total CP = 2083.33; total SP = 2000; loss = 83.33; loss% = (83.33/2083.33)*100 = 4%.

Explanation:
Marked Price = 300. Original SP = 300. Profit = 20%, so CP = 300 / 1.2 = 250. Discount during sale = 10% on MP. New SP = 300 - 30 = 270. Profit = 270 - 250 = 20. Profit % = (20 / 250) * 100 = 8%.