Cost price and marked price of an article is in ratio 4 5 After allowing a discount of Rs 100 ratio ...........

Quant (SSC) Profit and loss

Cost price and marked price of an article is in ratio 4:5. After allowing a discount of Rs. 100, ratio between marked price and selling price is 10:9. Find the ratio of profit after discount as a percent of cost price to the profit without discount as a percent of selling price?

9/8

7/9

9/16

7/3

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Explanation:

Let the cost price and marked price be 400x and 500x
500x /500x – 100 = 10/9
450x = 500x – 100 → x = 2
Cost price = 800
Selling price = 900
Marked price = 1000
Profit after discount as percent of C.P = [900 – 800 /800] x 100 ......i
Profit without discount as a percent of S.P = [1000 – 800 /900] x 100 ........ii
i /ii = 9/16