## Discount

#### Discount

1. The list price (marked price) of an article is Rs. 900 and is available at two successive discounts of 20% and 10%. The selling price of the article, in rupees, is :
1. 640
2. 648
3. 720
4. 738

1. Given that , List price (marked price) of an article = Rs. 900

 Single equivalent discount for a% and b% = a + b - a × b % 100

Here , a = 20 , b = 10%
 Single equivalent discount = 20 + 10 - 20 × 10 % 100

Single equivalent discount = (30 – 2)% = 28%
∴  S.P. of article = (100 – 28)% of Rs. 900

##### Correct Option: B

Given that , List price (marked price) of an article = Rs. 900

 Single equivalent discount for a% and b% = a + b - a × b % 100

Here , a = 20 , b = 10%
 Single equivalent discount = 20 + 10 - 20 × 10 % 100

Single equivalent discount = (30 – 2)% = 28%
∴  S.P. of article = (100 – 28)% of Rs. 900
⇒ S.P. of article = 72% × Rs. 900
 S.P. of article = Rs. 900 × 72 = Rs. 648 100

1. A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is
1. 40%
2. 55%
3.  66 2 % 3
4. 75%

1. Let the marked price of the article be Rs. 100.
on discount of 40% ,

 ∴  C.P. for the retailer = Rs. 100 × 60 = Rs. 60 100

Its S.P. = Rs. 100
∴  Profit = S.P. - C.P. = Rs. (100 – 60) = Rs. 40
 ∴ Profit percent = Profit × 100 C.P.

##### Correct Option: C

Let the marked price of the article be Rs. 100.
on discount of 40% ,

 ∴  C.P. for the retailer = Rs. 100 × 60 = Rs. 60 100

Its S.P. = Rs. 100
∴  Profit = S.P. - C.P. = Rs. (100 – 60) = Rs. 40
 ∴ Profit percent = Profit × 100 C.P.

 ∴  Profit percent = 40 × 100 60

 200 = 66 2 % 3 3

1. A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was
1. Rs. 3000
2. Rs. 1500
3. Rs. 1750
4. Rs. 2000

1. Here , Selling price of an object = Rs. 2100
a = 40% , b = -25%
Using the given formula,

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

 Percentage effect = 40 − 25 − 40 × 25 % 100

Percentage effect = (15 – 10)% = 5%
If the C.P. of article be Rs. y,

##### Correct Option: D

Here , Selling price of an object = Rs. 2100
a = 40% , b = -25%
Using the given formula,

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

 Percentage effect = 40 − 25 − 40 × 25 % 100

Percentage effect = (15 – 10)% = 5%
If the C.P. of article be Rs. y,
 then, y × 105 = 2100 100

 ⇒ y = 2100 × 100 = Rs. 2000 105

1. A dealer is selling an article at a discount of 5% on the marked price. If the marked price is 12% above the cost price and the article was sold for Rs. 532, then the cost price is (in Rs.)
1. 500
2. 525
3. 505
4. 520

1. Given that , S.P. of article = Rs. 532 , discount = 5%
Let the C.P. of article be Rs. y.

 ∴  Marked price = Rs. 112y 100

According to the question,
 112y × 95 = 532 100 100

##### Correct Option: A

Given that , S.P. of article = Rs. 532 , discount = 5%
Let the C.P. of article be Rs. y.

 ∴  Marked price = Rs. 112y 100

According to the question,
 112y × 95 = 532 100 100

 ⇒ y = 532 × 10000 = Rs. 500 112 × 95

1. A book seller allowed 10% discount on printed price. He gets 30% commission from publisher. His profit in per cent will be
1. 20
2.  28 4 7
3. 25
4.  26 3 7

1. Let the marked price of book be Rs. 100.
C.P. for the retailer = Rs. (100 – 30) = Rs. 70
On 10% discount , S.P. for the retailer = Rs. 90
Profit = S.P. - C.P. = 90 - 70 = Rs. 20

 ∴  Profit percent = Profit × 100 C.P. for the retailer

##### Correct Option: B

Let the marked price of book be Rs. 100.
C.P. for the retailer = Rs. (100 – 30) = Rs. 70
On 10% discount , S.P. for the retailer = Rs. 90
Profit = S.P. - C.P. = 90 - 70 = Rs. 20

 ∴  Profit percent = Profit × 100 C.P. for the retailer

 Profit percent = 20 × 100 = 28 4 % 70 7