## Discount

#### Discount

1. The single discount, which is equivalent to successive discounts of 25% and10 %, is :
1. 35 %
2. 34.5%
3. 33 %
4. 32.5 %

1. 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%

1. The discount series 10%, 20%, 40% is equivalent to a single discount of
1. 50%
2. 56.8%
3. 60%
4. 62.28%

1. 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, D1 = 10%, D2 = 20%, D3 = 40%
 Single discount = 100 −  100 − D1  100 − D2  100 − D3 × 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, D1 = 10%, D2 = 20%, D3 = 40%
 Single discount = 100 −  100 − D1  100 − D2  100 − D3 × 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%

1. Two successive discounts of 5%, 10% are given for an article costing ₹ 850. Present cost of the article is (in ₹ ) :
1. 725
2. 726.75
3. 700
4. 650

1. Use the below formula to calculate the Equivalent single discount.

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

##### Correct Option: B

Use the below formula to calculate the Equivalent single discount.

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

Single equivalent discount
 = 5 + 10 − 10 × 5 % = 14.5% 100

∴  Cost of article after discount
 = 850 × (100 − 14.50) = ₹ 726.75 100

1. What single discount is equivalent to two successive discounts of 20% and 15%?
1. 35%
2. 32%
3. 34%
4. 30%

1. 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

1. Two successive discounts of 10% and 5% are equivalent to a single discount of
1. 14%
2. 14.25%
3. 14.50%
4. 15%

1. Use the below formula to calculate the Equivalent single discount.

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

##### Correct Option: C

Use the below formula to calculate the Equivalent single discount.

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

 Single equivalent discount = 10 + 5 − 10 × 5 % 100

= (15 – 0.5)% = 14.5%