## Discount

#### Discount

1. A single discount of 50% on an article costing ₹ 10000 is better than two successive discounts of 40% and 10% by
1. ₹ 400
2. ₹ 1000
3. ₹ 500
4. ₹ 600

1. Single equivalent discount for 40% and 10%

 = 40 + 10 − 40 × 10 % = 46% 100

Difference of percentage = 4%

##### Correct Option: A

Single equivalent discount for 40% and 10%

 = 40 + 10 − 40 × 10 % = 46% 100

Difference of percentage = 4%
∴  Savings = 4% of 10000
 = 10000 × 4 = ₹ 400 100

1. A sofa-set listed at ₹ 800 is sold to a retailer at successive discounts of 25% and 15% by the wholesaler. Then the cost price of the sofa-set for retailer is
1. ₹ 500
2. ₹ 510
3. ₹ 550
4. ₹ 560

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

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

 Single equivalent discount = 25 + 15 − 25 × 15 100

Single equivalent discount = 40 – 3.75 = 36.25

##### Correct Option: B

Use the below formula to calculate the Equivalent single discount.

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

 Single equivalent discount = 25 + 15 − 25 × 15 100

Single equivalent discount = 40 – 3.75 = 36.25
 ∴  C.P. for the retailer = 800 × (100 − 36.25) = ₹ 510 100

1. Alex sold his goods after announcing two successive discounts of 30% each. The effective discount altogether is
1. 52%
2. 49%
3. 50%
4. 51%

1. As we know the formula for two successive discount.

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

##### Correct Option: D

As we know the formula for two successive discount.

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

 Single equivalent discount = 30 + 30 − 30 × 30 % = 51% 100

1. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is
1. 28.75%
2. 30%
3. 27.5%
4. 26%

1.  Single equivalent discount = 25 + 5 − 25 × 5 % 100

##### Correct Option: A

 Single equivalent discount = 25 + 5 − 25 × 5 % 100

Single equivalent discount = (30 – 1.25)% = 28.75%

1. Successive discounts of p% and q% on the catalogue price of an article is equivalent to a single discount of :
1.  x − y − xy % 100
2.  p − q − pq % 100

3.  p + q − pq % 100
4.  p + q + pq % 100

1. As we know the formula for two successive discount.

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

##### Correct Option: C

As we know the formula for two successive discount.

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

Single equivalent discount
 = p + q − pq % 100