## Discount

#### Discount

1. A merchant marks an article 20% above cost price. He then sells it at a discount of 20%. The sale gives him :
1. No loss or gain
2. 4% loss
3. 2% gain
4. 4% gain

1. Let the C.P. of article be Rs. 100.
According to the question,
Marked price of article = Rs. 120
at 20% discount ,

 S.P. of article = Rs. 120 × 80 = Rs. 96 100

Loss = C.P. of article - S.P. of article = 100 - 96 = Rs. 4

##### Correct Option: B

Let the C.P. of article be Rs. 100.
According to the question,
Marked price of article = Rs. 120
at 20% discount ,

 S.P. of article = Rs. 120 × 80 = Rs. 96 100

Loss = C.P. of article - S.P. of article = 100 - 96 = Rs. 4
 ∴ Loss percent = Loss × 100 C.P.

 Loss percent = 4 × 100 = 4% 100

1. The marked price of a laptop is Rs. 12000. In a clearance sale it is sold at a discount of 15%, incurring a loss of 4%. What is the cost price of the laptop?
1. Rs. 10200
2. Rs. 10625
3. Rs. 11200
4. Rs. 10275

1. Here , Marked price of a laptop = Rs. 12000
C.P. of laptop = Rs. y
According to the question,
( 100 - 4 )% of y = ( 100 - 15 )% of 12000

 y × 96 = 12000 × 85 = 120 × 85 100 100

##### Correct Option: B

Here , Marked price of a laptop = Rs. 12000
C.P. of laptop = Rs. y
According to the question,
( 100 - 4 )% of y = ( 100 - 15 )% of 12000

 y × 96 = 12000 × 85 = 120 × 85 100 100

 ⇒  y = 120 × 85 × 100 96

y = Rs. 10625

1. A watch dealer pays 10% customs duty on a watch which costs Rs. 500 abroad. He desires to make a profit of 20% after giving a discount of 25% to the buyer.The marked price should be
1. Rs. 950
2. Rs. 800
3. Rs. 880
4. Rs. 660

1. Let the marked price of watch be Rs. y.
Actual C.P. of watch = 110% of 500

 Actual C.P. of watch = Rs. 500 × 110 = Rs. 550 100

According to the question,

##### Correct Option: C

Let the marked price of watch be Rs. y.
Actual C.P. of watch = 110% of 500

 Actual C.P. of watch = Rs. 500 × 110 = Rs. 550 100

According to the question,
 y × 75 = 550 × 120 100 100

 ⇒  y = 550 × 120 = Rs. 880 75

1. A merchant marked the price of an article by increasing its production cost by 40%. Now he allows 20% discount and gets a profit of Rs. 48 after selling it.The production cost is
1. Rs. 320
2. Rs. 360
3. Rs. 400
4. Rs. 440

1. Let the production cost of article be Rs. y.
Here , a = 40% , b = - 20%

 ∴ Effective percentage = a + b + a × b % 100

 Effective percentage = 40 − 20 − 40 × 20 % 100

Effective percentage = (20 – 8)% = 12%
According to the question,
12% of y = 48

##### Correct Option: C

Let the production cost of article be Rs. y.
Here , a = 40% , b = - 20%

 ∴ Effective percentage = a + b + a × b % 100

 Effective percentage = 40 − 20 − 40 × 20 % 100

Effective percentage = (20 – 8)% = 12%
According to the question,
12% of y = 48
 ⇒ 12y = 48 100

 ⇒  y = 48 × 100 = Rs. 400 12

1. The marked price of an article is 30% higher than the cost price. If a trader sells the articles allowing 10% discount to customer, then the gain percent will be
1. 17
2. 20
3. 19
4. 15

1. Let the C.P. of article be Rs. 100.
∴  Its marked price = Rs. 130
After 10% discount , Its S.P. = 90% of 130

 S.P. = 130 × 90 = Rs. 117 4

Profit = S.P. - C.P. = 117 - 100 = 17

##### Correct Option: A

Let the C.P. of article be Rs. 100.
∴  Its marked price = Rs. 130
After 10% discount , Its S.P. = 90% of 130

 S.P. = 130 × 90 = Rs. 117 4

Profit = S.P. - C.P. = 117 - 100 = 17
 ∴ Profit percent = Profit × 100 C.P.

 Profit percent = 17 × 100 = 17% 100