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Sourav marks up an article by 30% and sells it at a discount of 20% to Sagar. Sagar marks up the price of the article to a certain amount which happens to be 20% more than Sourav's cost price. What is the maximum discount Sagar can offer without going into loss ?

Sourav marks up an article by 30% and sells it at a discount of 20% to Sagar. Sagar marks up the price of the article to a certain amount which happens to be 20% more than Sourav's cost price. What is the maximum discount Sagar can offer without going into loss ? Correct Answer 13.33%

Given :-

Sourav marks up an article by 30%

Discount given by Sourav = 20%

Sagar marks up 20% above Sourav cost price 

Concept :- 

Discount Percent = (Discount/Marked Price) × 100

Calculation :-

Let the cost price of Sourav article be Rs. 100

⇒ M.P = 100 + (100 + (30/100))

⇒ M.P = 100 + 30 = Rs. 130

After giving 20% discount selling price 

⇒ S.P. = (130 - (130 × (20/100))

⇒ S.P = 130 - 26

⇒ S.P = Rs. 104

Selling Price of Sourav is equal to the cost price of Sagar

Now, Sagar marks up 20% above Sourav cost price 

⇒ M.P = 100 + (100 + (20/100))

⇒ M.P = 100 + 20 

⇒ M.P = Rs. 120

Now, 

⇒ Maximum discount given by Sagar = 120 - 104 = Rs. 16

⇒ Discount Percent = (16/120) × 100 

⇒ Discount percent = (40/3) = 13.33%

∴ Sagar offer 13.33% maximum discount to Sourav

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