## Discount

#### Discount

1. If the shopkeeper sells an item at Rs 960 which is marked as Rs 1200, what is the discount he is offering ?
1. 25 percent
2. 12 percent
3. 20 percent
4. 28 percent

1. Discount = Rs. (1200 – 960) = Rs. 240
If the rate of discount be x%, then
x% of 1200 = 240

 ⇒ 1200 × x = 240 100

⇒  12x = 240
 ⇒  x = 240 = 20% 12

##### Correct Option: C

Discount = Rs. (1200 – 960) = Rs. 240
If the rate of discount be x%, then
x% of 1200 = 240

 ⇒ 1200 × x = 240 100

⇒  12x = 240
 ⇒  x = 240 = 20% 12

1. If a retailer offers a discount of 32% on the marked price of his goods and thus ends up selling at cost price, what was the percentage markup price?
1. 24 per cent
2. 47.05 per cent
3. 22.34 per cent
4. 32 per cent

1. Let the marked price of article be Rs. x and the C.P. be Rs. 100.
According to the question,
(100 – 32)% of x = 100

 ⇒ x × 68 = 100 100

⇒  x × 68 = 100 × 100
 ⇒  x = 100 × 100 = 2500 68 17

= Rs. 147.05
i.e., 47.05% above the cost price.

##### Correct Option: B

Let the marked price of article be Rs. x and the C.P. be Rs. 100.
According to the question,
(100 – 32)% of x = 100

 ⇒ x × 68 = 100 100

⇒  x × 68 = 100 × 100
 ⇒  x = 100 × 100 = 2500 68 17

= Rs. 147.05
i.e., 47.05% above the cost price.

1. The cost price of an article is Rs. 200. If 20% profit is made after giving 20% discount on the marked price, the marked price is :
1. Rs. 300
2. Rs. 320
3. Rs. 420
4. Rs. 450

1. Let the marked price of article be Rs. x.
According to the question,

 x × 80 = 200 × 120 100 100

 ⇒  x = Rs. 1200 × 120 = Rs. 300 80

##### Correct Option: A

Let the marked price of article be Rs. x.
According to the question,

 x × 80 = 200 × 120 100 100

 ⇒  x = Rs. 1200 × 120 = Rs. 300 80

1. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is :
1. Rs. 697.5
2. Rs. 712.5
3. Rs. 750
4. None of the these

1. Let the marked price of watch be Rs. x.
According to the question,
(7 – 5)% of x = 15

 ⇒ x × 2 = 15 100

 ⇒  x = 15 × 100 = Rs. 750 2

##### Correct Option: C

Let the marked price of watch be Rs. x.
According to the question,
(7 – 5)% of x = 15

 ⇒ x × 2 = 15 100

 ⇒  x = 15 × 100 = Rs. 750 2

1. When a discount of Rs. 42 is allowed on the marked price of an article, the new reduced price becomes 86% of the original price. Find the marked price.
1. Rs. 250
2. Rs. 300
3. Rs. 350
4. Rs. 400

1. Let the marked price of article be Rs. x.
According to the question,
x × (100 – 86)% = 42

 ⇒ x × 14 = 42 100

 ⇒  x = 42 × 100 = Rs. 300 14

##### Correct Option: B

Let the marked price of article be Rs. x.
According to the question,
x × (100 – 86)% = 42

 ⇒ x × 14 = 42 100

 ⇒  x = 42 × 100 = Rs. 300 14