## Discount

#### Discount

1. The original price of a TV set is Rs. 6,000. If the price is discounted by 20% and then raised by 10% for service contract, the price charged by the shopkeeper is
1. Rs. 5400
2. Rs. 5280
3. Rs. 5100
4. Rs.4200

1. Price of T.V. set after discount = 80% of Rs. 6000

 = Rs. 6000 × 80 = Rs. 4800 100

 S.P. of T.V. set with service contract = Rs. 4800 × 110 = Rs. 5280 100

##### Correct Option: B

Price of T.V. set after discount = 80% of Rs. 6000

 = Rs. 6000 × 80 = Rs. 4800 100

 S.P. of T.V. set with service contract = Rs. 4800 × 110 = Rs. 5280 100

1. A shopkeeper used to allow a discount of Rs. 20 on a product. He doubles the discount on the product and sold it for Rs. 80. What was the percentage of discount offered ?
1. 20%
2. 25%
3. 30%
4. 33.33%

1. Marked price of article = 80 + 40 = Rs. 120
If the discount be x%, then
x% of 120 = Rs. 40

 ⇒ 120 × x = 40 100

 ⇒  x = 40 × 100 = 100 = 100 = 33.33% 120 3 3

##### Correct Option: D

Marked price of article = 80 + 40 = Rs. 120
If the discount be x%, then
x% of 120 = Rs. 40

 ⇒ 120 × x = 40 100

 ⇒  x = 40 × 100 = 100 = 100 = 33.33% 120 3 3

1. Ramesh marks his goods 30% above cost price. If he ssells the item for . 910 after allowing a discount of 15 %, find his cost price.
1. Rs. 823.5
2. Rs. 758
3. Rs. 814.2
4. Rs. 856.5

1. C.P. of article = Rs. x.

 ∴  Marked price = 130x 100

 = Rs. 13x 10

According to the question,
 13x = 85 = 910 10 100

⇒  13x × 85 = 910 × 1000
 ⇒  x = 910000 = Rs. 823.5 13 × 85

##### Correct Option: A

C.P. of article = Rs. x.

 ∴  Marked price = 130x 100

 = Rs. 13x 10

According to the question,
 13x = 85 = 910 10 100

⇒  13x × 85 = 910 × 1000
 ⇒  x = 910000 = Rs. 823.5 13 × 85

1. A shopkeeper allows 20% discount on his advertised price and to make a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000 ?
1. 36000
2. 37500
3. 39000
4. 42500

1. Profit on outlay = Rs. 6000
According to the question,
25% of outlay = Rs. 6000

 ∴  Outlay = 6000 × 100 = Rs. 24000 25

Again, if the advertised price be Rs. x, then
 x × 80 = Rs. (24000 + 6000) 100

 ⇒  x = 30000 × 100 = Rs. 37500 80

##### Correct Option: B

Profit on outlay = Rs. 6000
According to the question,
25% of outlay = Rs. 6000

 ∴  Outlay = 6000 × 100 = Rs. 24000 25

Again, if the advertised price be Rs. x, then
 x × 80 = Rs. (24000 + 6000) 100

 ⇒  x = 30000 × 100 = Rs. 37500 80

1. A house was sold for Rs. y by giving a discount of x%, then the list price was :
1.  100y 100 − x
2.  100y 1 − x 100
3.  100x 100 − y
4.  100y 1 − x

1. Let the marked price of building be Rs. z.
∴  According to the question,
z × (100 – x)% = y

 ⇒  z × 100 − x = y 100

 ⇒  z = Rs. 100y 100 − x

Second Method :
S.P. = Rs. y, D = x %
 M.P. = SP × 100 100 − D

 M.P. = y × 100 100 − x

##### Correct Option: A

Let the marked price of building be Rs. z.
∴  According to the question,
z × (100 – x)% = y

 ⇒  z × 100 − x = y 100

 ⇒  z = Rs. 100y 100 − x

Second Method :
S.P. = Rs. y, D = x %
 M.P. = SP × 100 100 − D

 M.P. = y × 100 100 − x