Discount
- A shopkeeper marks his goods 50% more than the cost price and allows a discount of 25%. His profit or loss percentage is :
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Let C.P. of article be Rs. 100.
∴ Marked price = Rs. 150
discount = 25%S.P. of article = Rs. 
150 × 75 
= Rs. 112.5 100
∴ Profit = S.P. of article - C.P. of article = Rs. (112.5 – 100) = Rs. 12.5
Correct Option: C
Let C.P. of article be Rs. 100.
∴ Marked price = Rs. 150
discount = 25%S.P. of article = Rs. 150 × 75 = Rs. 112.5 100
∴ Profit = S.P. of article - C.P. of article = Rs. (112.5 – 100) = Rs. 12.5∴ Profit percent = Profit × 100 C.P. Profit percent = 12.5 × 100 = 12.5% 100
- A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is
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Let the marked price of the article be Rs. 100.
on discount of 40% ,∴ C.P. for the retailer = Rs. 100 × 60 = Rs. 60 100
Its S.P. = Rs. 100
∴ Profit = S.P. - C.P. = Rs. (100 – 60) = Rs. 40∴ Profit percent = Profit × 100 C.P.
Correct Option: C
Let the marked price of the article be Rs. 100.
on discount of 40% ,∴ C.P. for the retailer = Rs. 100 × 60 = Rs. 60 100
Its S.P. = Rs. 100
∴ Profit = S.P. - C.P. = Rs. (100 – 60) = Rs. 40∴ Profit percent = Profit × 100 C.P. ∴ Profit percent = 40 × 100 60 200 = 66 2 % 3 3
- The list price (marked price) of an article is Rs. 900 and is available at two successive discounts of 20% and 10%. The selling price of the article, in rupees, is :
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Given that , List price (marked price) of an article = Rs. 900
Single equivalent discount for a% and b% = a + b - a × b % 100
Here , a = 20 , b = 10%Single equivalent discount = 20 + 10 - 20 × 10 % 100
Single equivalent discount = (30 – 2)% = 28%
∴ S.P. of article = (100 – 28)% of Rs. 900
Correct Option: B
Given that , List price (marked price) of an article = Rs. 900
Single equivalent discount for a% and b% = a + b - a × b % 100
Here , a = 20 , b = 10%Single equivalent discount = 20 + 10 - 20 × 10 % 100
Single equivalent discount = (30 – 2)% = 28%
∴ S.P. of article = (100 – 28)% of Rs. 900
⇒ S.P. of article = 72% × Rs. 900S.P. of article = Rs. 900 × 72 = Rs. 648 100
- A shopkeeper buys an article for ₹ 180. He wishes to gain 20% after allowing a discount of 10% on the marked price to the customer. The marked price will be
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Given in question , CP of article = ₹ 180
After 20% gain , SP = 180 × 120 = ₹ 216 100
discount = 10%
∴ ( 100 - 10 )% = 216
⇒ 90% = 216
Correct Option: B
Given in question , CP of article = ₹ 180
After 20% gain , SP = 180 × 120 = ₹ 216 100
discount = 10%
∴ ( 100 - 10 )% = 216
⇒ 90% = 216100% = 216 × 100 = ₹ 240 90
Hence , The marked price is ₹ 240 .
- A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is ₹ 800, then the cost price of the article is :
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Here , marked price = ₹ 800
On discount of 10% ,S.P. of that article = 800 × 90 = ₹ 720 100
He still makes 20% profit∴ C.P. of the article = 720 × 100 = ₹ 600 120
Second method to solve this question :
Here, r = 20% , D = 10% , M.P. = ₹ 800 , C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: D
Here , marked price = ₹ 800
On discount of 10% ,S.P. of that article = 800 × 90 = ₹ 720 100
He still makes 20% profit∴ C.P. of the article = 720 × 100 = ₹ 600 120
Second method to solve this question :
Here, r = 20% , D = 10% , M.P. = ₹ 800 , C.P. = ?M.P. = 100 + r C.P. 100 − D 800 = 100 + 20 C.P. 100 − 10 C.P. = 800 × 90 120
C.P. = ₹ 600
