Discount
 An item is offered for sale at Rs. 250, less by successive discounts of 20 % and 15 %, The sale price of the item is :

 82% of Rs. 250
 77% of Rs. 250
 68% of Rs. 250
 65% of Rs. 250

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Single equivalent discount
= x + y − xy % 100 = 20 + 15 − 20 × 15 = 32% 100 Correct Option: C
Single equivalent discount
= x + y − xy % 100 = 20 + 15 − 20 × 15 = 32% 100
∴ Required S.P. = (100 – 32)% of 250
∴ Required S.P. = 68% of 250
 If the successive discounts be 20 %, 10 % and 5 %, then the single equivalent rate of discount is :

 31.6%
 31.5%
 31%
 31.4%

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As we know that ,
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100
Single equivalent discount for 20% and 10%= 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%
Calculate the Single equivalent discount for 28% and 5% further.
Correct Option: A
As we know that ,
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100
Single equivalent discount for 20% and 10%= 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%
Single equivalent discount for 28% and 5%= 28 + 5 − 28 × 5 % 100 = 33 − 140 = 31.6% 100
 The successive discount of 15 %, 20 % and 25 % on an article is equivalent to the single discount of

 60%
 47%
 49%
 40%

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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
Single equivalent discount for 15% and 20%= 15 + 20 − 15 × 20 % 100
= (35 – 3)% = 32%
Single equivalent discount for 32% and 25%.
Calculate the equation to find the equivalent discount.
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 for 15% and 20%= 15 + 20 − 15 × 20 % 100
= (35 – 3)% = 32%
Single equivalent discount for 32% and 25%= 32 + 25 − 32 × 25 % 100
= (57 – 8)% = 49%
 Successive discounts of 20% and 10% are equivalent to a single discount of :

 15%
 28%
 25%
 30%

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Use the below formula to calculate the Single equivalent discount.
Single equivalent discount = D_{1} + D_{2} − D_{1}× D_{2} % 100 Correct Option: B
Use the below formula to calculate the Single equivalent discount.
Single equivalent discount = D_{1} + D_{2} − D_{1}× D_{2} % 100 Single equivalent discount = 20 + 10 − 20 × 10 = 28% 100
 Find a simple discount equivalent to a discount series of 10%, 20% and 25%.

 55%
 45%
 52%
 46%

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First method to solve this question :
According to given question.
Here, D_{1} = 10%, D_{2} = 20%, D_{3} = 25%
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
2nd Method to solve this question :
According to given question.
Single equivalent discount for discounts of 10% and 20%= 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%
Single equivalent discounts for discounts of 28% and 25%
Calculate further to solve this question.
Correct Option: D
First method to solve this question :
According to given question.
Here, D_{1} = 10%, D_{2} = 20%, D_{3} = 25%
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%
2nd Method to solve this question :
According to given question.
Single equivalent discount for discounts of 10% and 20%= 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%
Single equivalent discounts for discounts of 28% and 25%= 28 + 25 − 28 × 25 % 100
= (53 –7)% = 46%