Discount
 10% discount and then 20% discount in succession is equivalent to total discount of

 28%
 15%
 30%
 24%

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Single equivalent discount = P + Q − P x Q % 100
Correct Option: A
Single equivalent discount = P + Q − P x Q % 100 Single equivalent discount = 10 + 20 − 10 × 20 % 100
Single equivalent discount = (30 – 2)% = 28%
 Two successive discounts of 10% and 20%, equals a single discount of

 30%
 25%
 28%
 29%

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Single equivalent discount = x + y − xy % 100
Correct Option: C
Single equivalent discount = x + y − xy % 100 Single equivalent discount = 10 + 20 − 10 × 20 % = 28% 100
 Successive discounts of 30% and 20% is equivalent to a single discount of

 50%
 40%
 44%
 10%

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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: C
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 = 30 + 20 − 30 × 20 % 100
⇒ Single equivalent discount = 50 – 6 = 44%
 A shopkeeper marks the price of an article at ₹ 80. What will be the selling price, if he allows two successive discounts of 5% each?

 ₹ 72.2
 ₹ 72
 ₹ 85
 ₹ 7.2

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Single equivalent discount = 5 + 5 − 25 % 100
Alternate method to solve this question :
Here, M.P. = 80, D_{1} = 5%, D_{2} = 5%, S.P. = ?S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 S.P. = 80 100 − 5 100 − 5 100 100 Correct Option: A
Single equivalent discount = 5 + 5 − 25 % 100 Single equivalent discount = 9 3 = 39 % 4 4 ∴ S.P. = 80 × 361 = ₹ 72.2 400
Alternate method to solve this question :
Here, M.P. = 80, D_{1} = 5%, D_{2} = 5%, S.P. = ?S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 S.P. = 80 100 − 5 100 − 5 100 100 S.P = 80 × 95 × 95 = ₹ 72.2 100 100
 Two successive discounts of 70% and 30% are equivalent to a single discount of

 75%
 79%
 100%
 89%

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Single equivalent discount = 70 + 30 − 70 × 30 % 100 Correct Option: B
Single equivalent discount = 70 + 30 − 70 × 30 % 100
Single equivalent discount = (100 – 21)% = 79%
2nd Method
After a discount of 70%, remaining price is just 30. On this 30%, another discount of 30% is given which will be equal to 9 so, total discount = 70% + 9% =79%.