## Discount

#### Discount

1. The printed price of an article is ₹ 900 but the retailer gets a discount of 40%. He sells the article for ₹ 900. Retailer’s gain percent is :
1. 40%
2. 60%
3.  66 2 % 3
4.  68 1 % 3

1. Given that , Printed price = ₹ 900
On 40% discount

 C.P. for retailer = 900 − 900 × 40 = 900 − 360 100

C.P. for retailer = 540
∴ S.P. = 900
Profit = 900 – 540 = 360

##### Correct Option: C

Given that , Printed price = ₹ 900
On 40% discount

 C.P. for retailer = 900 − 900 × 40 = 900 − 360 100

C.P. for retailer = 540
∴ S.P. = 900
Profit = 900 – 540 = 360
 Gain % = 360 × 100 540

 Gain % = 200 = 66 2 % 3 3

1. A discount of 21/2% is given to the customer on the marked price of an article. A man bought the article for ₹ 39. The marked price of the article is :
1. ₹ 42
2. ₹ 36.5
3. ₹ 40
4. ₹ 41.5

1. Here , CP of article = ₹ 39
Suppose printed price = ₹ 100
Discount = 21/2% = 2.5%
∴  S.P. = ₹ (100 – 2.5) = ₹ 97.5

##### Correct Option: C

Here , CP of article = ₹ 39
Suppose printed price = ₹ 100
Discount = 21/2% = 2.5%
∴  S.P. = ₹ (100 – 2.5) = ₹ 97.5

 ∴  Marked Price = 100 × 39 = ₹ 40 97.5

1. A dealer purchased an article for Rs. 900 and fixes the list price in such a way that he gains 20% after allowing 10% discount, then the list price is :
1. Rs. 1180
2. Rs.1080
3. Rs. 1200
4. Rs.1100

1. Given in question , CP of article = Rs. 900 , discount = 10% , gain = 20%
Let the marked price of article be Rs. y.
According to the question,
90% of y = 120% of 1900

 ⇒  y × 90 = 900 × 120 100 100

##### Correct Option: C

Given in question , CP of article = Rs. 900 , discount = 10% , gain = 20%
Let the marked price of article be Rs. y.
According to the question,
90% of y = 120% of 1900

 ⇒  y × 90 = 900 × 120 100 100

 ⇒  y = 900 × 120 = Rs. 1200 90

1.  A man sold an article for Rs. 450, after allowing a discount of 16 2 % on 3

the printed price. What is that printed price ?
1. Rs. 525
2. Rs. 530
3. Rs. 535
4. Rs. 540

1. Given that , SP of article = Rs. 450
Let the marked price of article be Rs. y.
According to the question,

 100 - 50 % of y = 450 3

 ⇒  y × 300 − 50 % = 450 3

 ⇒  y × 250 = 450 300

##### Correct Option: D

Given that , SP of article = Rs. 450
Let the marked price of article be Rs. y.
According to the question,

 100 - 50 % of y = 450 3

 ⇒  y × 300 − 50 % = 450 3

 ⇒  y × 250 = 450 300

 ⇒  y × 5 = 450 6

 ⇒  y = 450 × 6 = Rs. 540 5

1. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price of the book is
1. 45 : 56
2. 50 : 61
3. 99 : 125
4. None of these

1. Here , profit = 12% and discount = 10%
Let the C.P. of article be Rs. p and its marked price be Rs. q.
According to the question,
90% of q = 112% of p
⇒  90 × q = 112 × p

##### Correct Option: A

Here , profit = 12% and discount = 10%
Let the C.P. of article be Rs. p and its marked price be Rs. q.
According to the question,
90% of q = 112% of p
⇒  90 × q = 112 × p

 ⇒ p = 90 = 45 : 56 q 112

∴ Required ratio = 45 : 56