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A shopkeeper offers a discount of 20% on the selling price. On a special sale day, he offers an extra 25% off coupon after the first discount. If the article was sold for Rs. 3600, find
I) The marked price of the article
II) The cost price if the shopkeeper still makes a profit of 80% on the whole after all discounts are applied

A. 

6000, 2000

B. 

5000, 3000

C. 

7000, 9000

D. 

4000, 10,000

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Answer with explanation

Answer: Option A

Explanation

Let the marked price of the article be x.
First a 20% discount was offered, on which another 25% discount was offered.
So, after applying discounts, the customer paid 75% of 80% of marked price, which is equal to Selling price
=> 75% of 80% of x = 3600
=> (75/100) * (80/100) * x = 3600
=> x = 3600 * (5/3)
=> x = 6000
So, the marked price of the article = Rs. 6000
Formula:- Cost price of the article = {100 / (100 + Gain %)} * S.P
= [100/(100+80)]*3600
= [100 / 180] * 3600
= Rs. 2000

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