Discount
 List price of an article at a show room is ₹ 2,000 and it is being sold at successive discounts of 20 % and 10 %. Its net selling price will be :

 ₹ 1900
 ₹1700
 ₹ 1440
 ₹ 1400

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Equivalent discount for successive discounts of 20 % and 10 %
= 20 + 10 − 20 × 10 % 100
Alternate method to solve this question:
Here, M.P. = ₹ 2000,
D_{1} = 20%, D_{2} = 10%S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100
Correct Option: C
Equivalent discount for successive discounts of 20% and 10%
= 20 + 10 − 20 × 10 % 100
= 28%
∴ Net selling price = 72 % of 2000= ₹ 72 × 2000 = ₹ 1440 100
Alternate method to solve this question:
Here, M.P. = ₹ 2000,
D_{1} = 20%, D_{2} = 10%S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 = 2000 × 100 − 20 100 − 10 100 100 = 2000 × 80 × 90 = ₹ 1440 10000
 A single discount equivalent to the successive discounts of 10 %, 20 % and 25 % is

 55%
 45%
 46%
 60%

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First Method
Single of discount for successive discounts 10 % and 20 %= 20 + 10 − 20 × 10 % = 28 % 100
∴ Equivalent discount for discounts 28% and 25%= 28 + 25 − 28 × 25 % 100
2nd Method :
Single equivalent discount= 100 − 100 − D_{1} 100 − D_{2} 100 − D_{3} × 100 100 100 100 = 100 − 100 − 10 100 − 20 100 − 25 × 100 100 100 100
Correct Option: C
First Method to solve this question.
Single of discount for successive discounts 10 % and 20 %= 20 + 10 − 20 × 10 % = 28 % 100
∴ Equivalent discount for discounts 28% and 25%= 28 + 25 − 28 × 25 % 100
= 53 – 7 = 46%
Second method :
Single equivalent discount= 100 − 100 − D_{1} 100 − D_{2} 100 − D_{3} × 100 100 100 100 = 100 − 100 − 10 100 − 20 100 − 25 × 100 100 100 100 = 100 − 90 × 80 × 75 × 100 100 100 100
= 100 – 54 = 46%
 An item is marked for ₹ 240 for sale. If two successive discounts of 10 % and 5 % are allowed on the sale price, the selling price of the article will be

 ₹ 205.20
 ₹ 204
 ₹ 34.80
 ₹ 36

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A single discount equal to the two successive discounts
= 10 + 5 − 10 × 5 % = 14.5 % 100
2nd Method :
Here, M.P. = Rs. 240,
D_{1} = 10%, D_{2} = 5%S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 = 240 100 − 10 100 − 5 100 100
Correct Option: A
A single discount equal to the two successive discounts
= 10 + 5 − 10 × 5 % = 14.5 % 100
∴ Selling price of the article
= 85.5% of ₹ 240= ₹ 85.5 × 240 = ₹ 205.20 100
IInd Method :
Here, M.P. = Rs. 240,
D_{1} = 10%, D_{2} = 5%S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 = 240 100 − 10 100 − 5 100 100 = 240 × 90 × 95 = Rs. 205.20 100 100
 The marked price of an article is ₹ 500. It is sold at successive discounts of 20 % and 10 %. The selling price of the article (in rupees) is :

 350
 375
 360
 400

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Equivalent discount of successive discounts of 20 % and 10 % = 20 + 10 − 20 × 10 % = 28 % 100
∴ Selling Price = (100 – 28) % of ₹ 500
IInd Method to Solve this question.
M.P. = Rs. 500
D_{1} = 20%
D_{2} = 10%S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100
Correct Option: C
Equivalent discount of successive discounts of 20% and 10%
= 20 + 10 − 20 × 10 % = 28 % 100
∴ Selling Price = (100 – 28) % of ₹ 500 = 72 % of 500= ₹ 500 × 72 = ₹ 360 100
IInd Method to Solve this question.
M.P. = Rs. 500
D_{1} = 20%
D_{2} = 10%S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 = 500 100 − 20 100 − 10 100 100 = 500 × 80 × 90 = Rs. 360 100 100
 The marked price of a watch is ₹ 1000. A retailer buys it at ₹ 810 after getting two successive discounts of 10% and another rate which is illegible. What is the second discount rate?

 15%
 10%
 8%
 6.5%

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Price after 10% first discount
= 1000 × 100 − 10 100 = 1000 × 90 = ₹ 900 100
Correct Option: B
Price after 10% first discount
= 1000 × 100 − 10 100 = 1000 × 90 = ₹ 900 100
Given that :
Price after second discount = ₹ 810
∴ Second discount = 900 – 810 = 90∴ Percentage of second discount = 90 × 100 = 10 % 100