Discount
- A discount of 14% on the marked price of an article is allowed and then the article is sold for ₹ 387. The marked price of the article is
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Here , SP of article = ₹ 387 , discount = 14%
Let the marked price be y
∴ ( 100 - 14 )% of y = 387
⇒ 86% of y = 387∴ y = 387 × 100 = ₹ 450 86
We can find required answer with the help of given formula :
Here, D = 14%, S.P. = 387, M.P. = ?M.P. = S.P. × 100 100 − D
Correct Option: A
Here , SP of article = ₹ 387 , discount = 14%
Let the marked price be y
∴ ( 100 - 14 )% of y = 387
⇒ 86% of y = 387∴ y = 387 × 100 = ₹ 450 86
We can find required answer with the help of given formula :
Here, D = 14%, S.P. = 387, M.P. = ?M.P. = S.P. × 100 100 − D = 387 × 100 100 − 14 = 38700 = ₹ 450 86
- A man buys an article for ₹ 80 and marks it at ₹ 120. He then allows a discount of 40%. What is the loss or gain percent ?
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Given that , CP of article = ₹ 80 and marked price = ₹ 120
Discount = 120 × 40 = ₹ 48 100
∴ S.P. = ₹ (120 – 48) = ₹ 72
Loss = 80 – 72 = ₹ 8∴ Loss % = 8 × 100 = 10% 80
Second method to solve this question :
Here, C.P. = Rs. 80, M.P. = Rs. 120, D = 40%
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: D
Given that , CP of article = ₹ 80 and marked price = ₹ 120
Discount = 120 × 40 = ₹ 48 100
∴ S.P. = ₹ (120 – 48) = ₹ 72
Loss = 80 – 72 = ₹ 8∴ Loss % = 8 × 100 = 10% 80
Second method to solve this question :
Here, C.P. = Rs. 80, M.P. = Rs. 120, D = 40%
Using the given formula ,M.P. = 100 + r C.P. 100 − D 120 = 100 + r 80 100 − 40 3 = 100 + r 2 60
90 = 100 + r
r =–10% (–ve sign shows loss)
⇒ Loss = 10%
- A retailer gets a discount of 40% on the printing price of an article. The retailer sells it at the printing price. His gain percent is
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Let the printed price of the article be ₹ 100
Discount = 40%
C.P. = ₹ (100 – 40) = ₹ 60
S.P. = ₹ 100∴ Gain % = 40 × 100 60
Correct Option: C
Let the printed price of the article be ₹ 100
Discount = 40%
C.P. = ₹ (100 – 40) = ₹ 60
S.P. = ₹ 100∴ Gain % = 40 × 100 60 Gain % = 200 = 66 2 % 3 3
- A fan is listed at ₹ 1,500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to ₹ 1,104 ?
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Given that , Listed price = ₹ 1,500 and additional discount = ₹ 1,104
First discount = 20%Price after first discount = ₹ 
1500 − 20 × 1500 
100
Price after first discount = ₹ (1500 – 300) = ₹ 1200
Let the additional discount be y%∴ 1200 − y × 1200 = 1104 100
Correct Option: A
Given that , Listed price = ₹ 1,500 and additional discount = ₹ 1,104
First discount = 20%Price after first discount = ₹ 1500 − 20 × 1500 100
Price after first discount = ₹ (1500 – 300) = ₹ 1200
Let the additional discount be y%∴ 1200 − y × 1200 = 1104 100
⇒ 1200 – 12y = 1104
⇒ 12y = 1200 – 1104 = 96⇒ y = 96 = 8% 12
- A retailer buys 40 pens at the marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is the profit percent?
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Let the marked price of each pen be y.
Total cost price of 40 pens = Total marked price of 36 pens = ₹ 36y
Selling price of 1 pen after 1% discount = (1 – 0.01)y = ₹ 0.99y
Selling price of 40 pens = 40 × 0.99y = ₹ 39.6y
Profit = SP - CP = 39.6y - 36y = ₹ 3.6yProfit % = 3.6 y × 100 36y
Correct Option: B
Let the marked price of each pen be y.
Total cost price of 40 pens = Total marked price of 36 pens = ₹ 36y
Selling price of 1 pen after 1% discount = (1 – 0.01)y = ₹ 0.99y
Selling price of 40 pens = 40 × 0.99y = ₹ 39.6y
Profit = SP - CP = 39.6y - 36y = ₹ 3.6yProfit % = 3.6 y × 100 36y Profit % = 3.6 × 100 = 10% 36
