Discount
 Two consecutive discounts x% and y% are equivalent to the single discount of


x − y + xy % 100 
x + y + xy % 100 
x − y − xy % 100 
x + y − xy % 100


View Hint View Answer Discuss in Forum
Single equivalent discount for consecutive discounts of x% and y%
= x + y − xy % 100 Correct Option: D
As we know that ,
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100
Single equivalent discount for consecutive discounts of x% and y%= x + y − xy % 100
 The price of a chair is Rs. 500. It has been sold at two successive discounts of 10 % each. What is its selling price?

 Rs. 400
 Rs. 405
 Rs. 415
 Rs. 425

View Hint View Answer Discuss in Forum
Single equivalent discount for 10 % and 10 %
= 10 + 10 − 10 × 10 % = 19% 100
∴ S.P. of chair = (100 – 19)% of Rs. 500Correct Option: B
Single equivalent discount for 10 % and 10 %
= 10 + 10 − 10 × 10 % = 19% 100
∴ S.P. of chair = (100 – 19)% of Rs. 500∴ S.P. of chair = Rs. 500 × 81 = Rs. 405 100
 Two successive discounts of 10% and 20% are equivalent to a single discount of

 28%
 27%
 25%
 30%

View Hint View Answer Discuss in Forum
Single equivalent discount
= x + y − xy % 100 Correct Option: A
Single equivalent discount
= x + y − xy % 100 = 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%
 Successive discounts of 20% and 10% are given on an item marked at Rs. 700. Find the selling price.

 Rs. 504
 Rs. 196
 Rs. 582
 Rs. 601

View Hint View Answer Discuss in Forum
Required selling price = Rs. 700 × 80 × 90 100 100 Correct Option: A
Required selling price = Rs. 700 × 80 × 90 100 100
Required selling price = Rs. 504
 A discount series of 15%, 20% and 25% is equal to the single discount of

 48%
 49%
 50%
 51%

View Hint View Answer Discuss in Forum
Single equivalent discount for 15% and 20%
= 20 + 15 − 20 × 15 % 100
= (35 – 3)% = 32%
Calculate the Single equivalent discount for 32% and 25%.
Correct Option: B
Single equivalent discount for 15% and 20%
= 20 + 15 − 20 × 15 % 100
= (35 – 3)% = 32%
Single equivalent discount for 32% and 25%= 32 + 25 − 32 × 25 % 100
= (57 – 8) = 49%