## Discount

#### Discount

1. Two consecutive discounts x% and y% are equivalent to the single discount of
1. x − y + xy % 100
2. x + y + xy % 100
3. x − y − xy % 100
4. x + y − xy % 100

1. Single equivalent discount for consecutive discounts of x% and y%

 = x + y − xy % 100

##### Correct Option: D

As we know that ,

 Equivalent single discount = D1 + D2 − D1 × D2 % 100

Single equivalent discount for consecutive discounts of x% and y%
 = x + y − xy % 100

1. The price of a chair is Rs. 500. It has been sold at two successive discounts of 10 % each. What is its selling price?
1. Rs. 400
2. Rs. 405
3. Rs. 415
4. Rs. 425

1. Single equivalent discount for 10 % and 10 %

 = 10 + 10 − 10 × 10 % = 19% 100

∴  S.P. of chair = (100 – 19)% of Rs. 500

##### Correct 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

1. Two successive discounts of 10% and 20% are equivalent to a single discount of
1. 28%
2. 27%
3. 25%
4. 30%

1. 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%

1. Successive discounts of 20% and 10% are given on an item marked at Rs. 700. Find the selling price.
1. Rs. 504
2. Rs. 196
3. Rs. 582
4. Rs. 601

1.  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

1. A discount series of 15%, 20% and 25% is equal to the single discount of
1. 48%
2. 49%
3. 50%
4. 51%

1. 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%