## Discount

#### Discount

1. The selling price of a video game is ₹ 740 and the discount allowed is 7.5%. The marked price of the video game is :
1. ₹ 600
2. ₹ 700
3. ₹ 800
4. ₹ 900

1. Here , The selling price of a video game = ₹ 740 , discount = 7.5%

 Marked price = 100 × 740 (100 − 7.5)

 Marked price = 740 × 100 = ₹ 800 92.5

Second method :
Here, S.P. = ₹ 740, D = 7.5%, M.P. = ?
Using the given formula ,
 M.P. = S.P. × 100 100 − D

##### Correct Option: C

Here , The selling price of a video game = ₹ 740 , discount = 7.5%

 Marked price = 100 × 740 (100 − 7.5)

 Marked price = 740 × 100 = ₹ 800 92.5

Second method :
Here, S.P. = ₹ 740, D = 7.5%, M.P. = ?
Using the given formula ,
 M.P. = S.P. × 100 100 − D

 M.P. = 740 × 100 100 − 7.5

 M.P. = 74000 = ₹ 800 92.5

1.  Mr. A bought a refrigerator with 16 2 % discount on the labelled price. Had 3

he bought it with 25% discount, he would have saved ₹ 600. At what price did he buy the refrigerator ?
1. ₹ 6000
2. ₹ 7200
3. ₹ 7500
4. ₹ 5000

1. Here , First discount = 25% , Second discount = ( 50 / 3 )% ,

 Difference of discounts = 25 − 50 % = 25 % 3 3

Let the marked price be y, then
According to question ,
 y × 25 = 600 300

⇒  y = ₹ 7200
 ∴  Required S.P. = 7200 × 100 − 50 % 3

##### Correct Option: A

Here , First discount = 25% , Second discount = ( 50 / 3 )% ,

 Difference of discounts = 25 − 50 % = 25 % 3 3

Let the marked price be y, then
According to question ,
 y × 25 = 600 300

⇒  y = ₹ 7200
 ∴  Required S.P. = 7200 × 100 − 50 % 3

 Required S.P. = 7200 × 250 = ₹ 6000 300

1. A fan in a shop is offered at a discount of 10%. It is sold during clearance sale at 6% discount over the already discounted price at ₹ 846. The original marked price of the fan is
1. ₹ 900
2. ₹ 946
3. ₹ 850
4. ₹ 896

1. Given that , discount = 6% , SP of fan = ₹ 846

 Marked price = SP of fan × 100 100 - Discount

 Marked price = 846 × 100 100 - 6

##### Correct Option: A

Given that , discount = 6% , SP of fan = ₹ 846

 Marked price = SP of fan × 100 100 - Discount

 Marked price = 846 × 100 100 - 6

 Marked price = 846 × 100 = ₹ 900 94

1. After allowing a discount of 12% on the marked price of an article, it is sold for ₹ 880. Find its marked price.
1. ₹ 1,100
2. ₹ 2,000
3. ₹ 1,000
4. ₹ 2,100

1. Here , discount = 12% , SP of an article = ₹ 880

 ∴ Marked price = 100 × SP of an article 100 − Discount

 Marked price = 100 ×880 = ₹ 1000 100 − 12

We can find the required answer with the help of given formula :
Here, S.P. = ₹ 880, D = 12%, M.P. = ?
 M.P. = S.P. × 100 100 − D

##### Correct Option: C

Here , discount = 12% , SP of an article = ₹ 880

 ∴ Marked price = 100 × SP of an article 100 − Discount

 Marked price = 100 ×880 = ₹ 1000 100 − 12

We can find the required answer with the help of given formula :
Here, S.P. = ₹ 880, D = 12%, M.P. = ?
 M.P. = S.P. × 100 100 − D

 M.P. = 880 × 100 100 − 12

 M.P. = 880 × 100 = ₹ 1000 88

1. A shopkeeper gains ₹ 56 on a toy after allowing 23% discount on its marked price. If his gain is 10%, then the marked price of the toy is :
1. ₹ 810
2. ₹ 800
3. ₹ 560
4. ₹ 740

1. Let marked price of toy be y

 ∴ S.P. = y × 77 = 77y 100 100

 C.P. = y × 77 × 100 = 7y 100 110 10

gains = ₹ 56
∴ gains = SP - CP
 ∴ 77y − 7y = 56 100 10

##### Correct Option: B

Let marked price of toy be y

 ∴ S.P. = y × 77 = 77y 100 100

 C.P. = y × 77 × 100 = 7y 100 110 10

gains = ₹ 56
∴ gains = SP - CP
 ∴ 77y − 7y = 56 100 10

 ⇒ 7y = 56 100

 ⇒  y = 100 × 56 = ₹ 800 7