Discount
 The single discount, which is equivalent to successive discounts of 25% and10 %, is :

 35 %
 34.5%
 33 %
 32.5 %

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Use the below formulae to calculate the Single equivalent discount.
Single equivalent discount = x + y − xy % 100 Correct Option: D
Use the below formulae to calculate the Single equivalent discount.
Single equivalent discount = x + y − xy % 100 Single equivalent discount = 25 + 10 − 25 × 10 % 100
Single equivalent discount = 32.5%
 The discount series 10%, 20%, 40% is equivalent to a single discount of

 50%
 56.8%
 60%
 62.28%

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Single equivalent discount for 10% and 20%
= 10 + 20 − 20 × 10 = 28% 100
Single equivalent discount for 28% and 40%
Similarly calculate the single discount.
Alternate method to solve this question :
Here, D_{1} = 10%, D_{2} = 20%, D_{3} = 40%Single discount = 100 − 100 − D_{1} 100 − D_{2} 100 − D_{3} × 100 100 100 100 Correct Option: B
Single equivalent discount for 10% and 20%
= 10 + 20 − 20 × 10 = 28% 100
Single equivalent discount for 28% and 40%= 40 + 28 − 28 × 40 % 100
= (68 – 11.2) % = 56.8%
Alternate method to solve this question :
Here, D_{1} = 10%, D_{2} = 20%, D_{3} = 40%Single discount = 100 − 100 − D_{1} 100 − D_{2} 100 − D_{3} × 100 100 100 100 Single discount = 100 − 100 − 10 100 − 20 100 − 40 × 100 100 100 100 Single discount = 100 − 90 × 80 × 60 × 100 100 100 100
Single discount = 100 – 43.20 = 56.8%
 Two successive discounts of 5%, 10% are given for an article costing ₹ 850. Present cost of the article is (in ₹ ) :

 725
 726.75
 700
 650

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Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Correct Option: B
Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100
Single equivalent discount= 5 + 10 − 10 × 5 % = 14.5% 100
∴ Cost of article after discount= 850 × (100 − 14.50) = ₹ 726.75 100
 What single discount is equivalent to two successive discounts of 20% and 15%?

 35%
 32%
 34%
 30%

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Use the below formulae to calculate the Single equivalent discount.
Single equivalent discount = x + y − xy % 100 Correct Option: B
Use the below formulae to calculate the Single equivalent discount.
Single equivalent discount = x + y − xy % 100 = 20 + 15 − 20 × 15 % = 32% 100
 Two successive discounts of 10% and 5% are equivalent to a single discount of

 14%
 14.25%
 14.50%
 15%

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Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Correct Option: C
Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Single equivalent discount = 10 + 5 − 10 × 5 % 100
= (15 – 0.5)% = 14.5%