## Discount

#### Discount

1. Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?
1. ₹ 16,000
2. ₹ 12,000
3. ₹ 10,000
4. ₹ 8,000

1. Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
If the marked price of T.V. be y, then,
According to question,
∴ ( 25 - 20 )% of y = ₹ 500
⇒ 5% of y = ₹ 500

 y × 5 = 500 100

 ⇒  y = 500 × 100 = ₹ 10000 5

##### Correct Option: D

Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
If the marked price of T.V. be y, then,
According to question,
∴ ( 25 - 20 )% of y = ₹ 500
⇒ 5% of y = ₹ 500

 y × 5 = 500 100

 ⇒  y = 500 × 100 = ₹ 10000 5

 ∴  Initial S.P. of T.V. = 10000 × 80 = ₹ 8000 100

1. A discount of 24% on the marked price of an article is allowed and then the article is sold for ₹ 342. The marked price of the article is
1. ₹ 500
2. ₹ 490
3. ₹ 450
4. ₹ 430

1. Given Here , SP of article = ₹ 342 , discount = 24%
If the marked price of article be y, then

 y × 76 = 342 100

 ⇒  y = 342 × 100 = ₹ 450 76

We can find the required answer with the help of given formula :
Here, D = 24%, S.P. = ₹ 342, M.P. = ?
Using the given formula ,
 M.P. = S.P. × 100 100 − D

##### Correct Option: C

Given Here , SP of article = ₹ 342 , discount = 24%
If the marked price of article be y, then

 y × 76 = 342 100

 ⇒  y = 342 × 100 = ₹ 450 76

We can find the required answer with the help of given formula :
Here, D = 24%, S.P. = ₹ 342, M.P. = ?
Using the given formula ,
 M.P. = S.P. × 100 100 − D

 M.P. = 342 × 100 = 34200 = ₹ 450 100 − 24 76

1. When a shopkeeper gives 10% discount on the list price of a toy, his gain is 20%. If he had given a discount of 20%, his percentage of gain would have been
1.  6 2 % 3
2.  8 1 % 3
3. 10%
4. 15%

1. Given that , discount = 10% , gain = 20%
Let the cost price of toy be ₹ 100 and the marked price be y.

 ∴ y × 90 = 120 100

 ⇒  y = 120 × 100 = ₹ 400 90 3

 S.P. after a discount of 20% = 80% of 400 3

 S.P. after a discount of 20% = 400 × 80 = 320 = 106 2 300 3 3

##### Correct Option: A

Given that , discount = 10% , gain = 20%
Let the cost price of toy be ₹ 100 and the marked price be y.

 ∴ y × 90 = 120 100

 ⇒  y = 120 × 100 = ₹ 400 90 3

 S.P. after a discount of 20% = 80% of 400 3

 S.P. after a discount of 20% = 400 × 80 = 320 = 106 2 300 3 3

 ∴ Profit = SP - CP = 106 2 − 100 = ₹ 6 2 3 3

 ∴ Profit percent = ( 320 / 3 ) × 100 = 106 2 % 100 3

1. A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is ₹ 629 is :
1. ₹ 740
2. ₹ 704
3. ₹ 700
4. ₹ 614

1. Here , selling price = ₹ 629 , 15% discount
Let the marked price be y.

 ∴ y × 85 = 629 100

 ⇒  y = 629 × 100 = ₹ 740 85

Second method to solve this question :
M.P. = ? , S.P. = ₹ 629, D = 15%
Using the given formula ,
 M.P. = S.P. × 100 100 − D

##### Correct Option: A

Here , selling price = ₹ 629 , 15% discount
Let the marked price be y.

 ∴ y × 85 = 629 100

 ⇒  y = 629 × 100 = ₹ 740 85

Second method to solve this question :
M.P. = ? , S.P. = ₹ 629, D = 15%
Using the given formula ,
 M.P. = S.P. × 100 100 − D

 M.P. = 629 × 100 100 − 15

 M.P. = 62900 = ₹ 740 85

1. A shopkeeper allows 4% discount on his marked price. If the cost price of an article is ₹ 100 and he has to make a profit of 20%, then his marked price must be
1. ₹ 96
2. ₹ 120
3. ₹ 125
4. ₹ 130

1. Here , discount = 4% , profit = 20%
cost price of an article = ₹ 100
Let the marked price of the article be y
According to the question,
96% of y = 120% of 100

 ⇒  y × 96 = 100 × 120 100 100

 ⇒  y = 100 × 120 = ₹ 125 100

We can find the required answer with the help of given formula :
Here, r = 20%, D = 4%, C.P. = ₹ 100, M.P. = ?
 M.P. = 100 + r C.P. 100 − D

##### Correct Option: C

Here , discount = 4% , profit = 20%
cost price of an article = ₹ 100
Let the marked price of the article be y
According to the question,
96% of y = 120% of 100

 ⇒  y × 96 = 100 × 120 100 100

 ⇒  y = 100 × 120 = ₹ 125 100

We can find the required answer with the help of given formula :
Here, r = 20%, D = 4%, C.P. = ₹ 100, M.P. = ?
 M.P. = 100 + r C.P. 100 − D

 M.P. = 100 + 20 100 100 − 4

 M.P. = 120 × 100 96

 M.P. = 1000 = ₹ 125 8