## Discount

#### Discount

1. An article is listed at ₹ 65. A customer bought this article for ₹ 56.16 with two successive
discounts of which one is 10%. The other discount of this discount scheme that was allowed by the shopkeeper is
1. 4%
2. 3%
3. 6%
4. 2.5%

1. Let the other discount be x%.

 65 × 90 × (100 − x) = 56.16 100 100

 ⇒  100 − x = 56.16 × 100 × 100 65 × 90

⇒  100 – x = 96
⇒  x = 4%

##### Correct Option: A

Let the other discount be x%.

 65 × 90 × (100 − x) = 56.16 100 100

 ⇒  100 − x = 56.16 × 100 × 100 65 × 90

⇒  100 – x = 96
⇒  x = 4%

1. What is the maximum percentage discount that a merchant can offer on her marked price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50% ?
1. 16.67%
2. 20%
3. 50%
4. 33.33%

1. Let cost price = ₹ 100
Marked price = ₹ 150

 ∴  Discount per cent = 50 × 100 = 33.33% 150

##### Correct Option: D

Let cost price = ₹ 100
Marked price = ₹ 150

 ∴  Discount per cent = 50 × 100 = 33.33% 150

1. A tradesman gives 4% discount on the marked price and 1 article free with every 15 articles bought and still gains 35%. The marked price is more than the cost price by —
1. 40%
2. 39%
3. 20%
4. 50%

1. According to question, Discount on articles

 1 × 100 = 6.25% 16

 Overall discount = − 4 − 6.25 + 4 × 6.25 = −10% 100

Let cost price = ₹ 100, then
selling price = ₹ 135
So, 90% of marked price = 135
 Marked price = 135 × 100 = ₹ 150 90

Marked price is increased by
 = 150 − 100 × 100 = 50% 90

##### Correct Option: D

According to question, Discount on articles

 1 × 100 = 6.25% 16

 Overall discount = − 4 − 6.25 + 4 × 6.25 = −10% 100

Let cost price = ₹ 100, then
selling price = ₹ 135
So, 90% of marked price = 135
 Marked price = 135 × 100 = ₹ 150 90

Marked price is increased by
 = 150 − 100 × 100 = 50% 90

1. A shopkeepers announce the same price of ₹ 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of
1. ₹ 22.40
2. ₹ 16.80
3. ₹ 9.80
4. ₹ 36.40

1. According to question, selling price of first shopkeeper.

 = 700 × 70 × 94 = ₹ 460.60 100 100

Selling price of second shopkeeper
 = 700 × 80 × 84 = ₹ 470.40 100 100

Required difference = 470.40 – 460.60 = ₹ 9.80

##### Correct Option: C

According to question, selling price of first shopkeeper.

 = 700 × 70 × 94 = ₹ 460.60 100 100

Selling price of second shopkeeper
 = 700 × 80 × 84 = ₹ 470.40 100 100

Required difference = 470.40 – 460.60 = ₹ 9.80

1. A shopkeeper marks the prices of his goods at 25% higher than the original price. After that, he allows a discount of 12% discount. What profit or loss did he get ?
1. 15% profit
2. 10% profit
3. 10% loss
4. 15% loss

1. By question, Profit per cent or loss per cent.

 = + 25 − 12 − 25 × 12 = 10% 100

As the sign is +ve so, there is a profit of 10%.

##### Correct Option: B

By question, Profit per cent or loss per cent.

 = + 25 − 12 − 25 × 12 = 10% 100

As the sign is +ve so, there is a profit of 10%.