## Discount

#### Discount

1. A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price, how much profit or loss does he make, if any?
1. 1% gain
2. 1% loss
3. 5% gain
4. No gain, no loss

1. As we know that ,

 Required loss = 10 × 10 = 1% 100

2nd method to solve this question.
Here, r = 10% and r1 = 10%
⇒  Required profit or loss
 = r ×(100 − r1) −r1 100
 = 10 ×(100 − 10) −10 100

##### Correct Option: B

As we know that ,

 Required loss = 10 × 10 = 1% 100

2nd method to solve this question.
Here, r = 10% and r1 = 10%
 ⇒  Required profit or loss = r ×(100 − r1) −r1 100
 = 10 ×(100 − 10) −10 100

Required profit or loss = 9 – 10
Required profit or loss = –1% (–ve sign shows loss)
Required profit or loss = 1% loss

1. A trader marks the sale price 25% more on cost price and gives a 10% discount at the time of selling. The gain % is
1.  12 1 % 2
2.  12 1 % 3
3.  11 1 % 2
4. 12%

1. Let us assume the C.P. of article be Rs. 100.
According to question.
∴  Its marked price = Rs. 125

 S.P. = Rs. 125 × 90 = Rs. 112.5 100

2nd Method to solve this question.

 Profit % = x + y + xy % 100

where x = 25%; y = –10%

##### Correct Option: A

Let us assume the C.P. of article be Rs. 100.
According to question.
∴  Its marked price = Rs. 125

 S.P. = Rs. 125 × 90 = Rs. 112.5 100

∴  Profit % = 12.5 %
2nd Method to solve this question.

 Profit % = x + y + xy % 100

where x = 25%; y = –10%
 Profit % = 25 − 10 − 25 × 10 % 100

Profit % = 12.5%

1. A dinner set is quoted for Rs. 1500. A customer pays Rs. 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount was
1. 15%
2. 7%
3. 9%
4. 8%

1. According to the question,
First discount = 15%
S.P. of dinner set after first discount = (100 – 15)% of Rs. 1500

 = Rs. 1500 × 85 = Rs. 1275 100

Second discount = Rs. ( 1275 – 1173 ) = Rs. 102

##### Correct Option: D

According to the question,
First discount = 15%
S.P. of dinner set after first discount = (100 – 15)% of Rs. 1500

 = Rs. 1500 × 85 = Rs. 1275 100

Second discount = Rs. ( 1275 – 1173 ) = Rs. 102
If second discount be d %, then
 ∴ 1275 × d = 102 100

 ⇒  d = 102 × 100 = 8% 1275

1. A shopkeeper offers 15% discount on all plastic toys. He offers a further discount of 4% on the reduced price to those customers who pay cash. What does a customer have to pay (in Rs.) in cash for a toy of Rs 200?
1. 133.7
2. 129.8
3. 163.2
4. 153.3

1. The customer pays in cash.
Single equivalent discount for 15% and 4%

 = 15 + 4 − 15 × 4 % 100

= (19 – 0.6)% = 18.4%
∴  Required S.P. = (100 – 18.4)% of 200

##### Correct Option: C

The customer pays in cash.
Single equivalent discount for 15% and 4%

 = 15 + 4 − 15 × 4 % 100

= (19 – 0.6)% = 18.4%
∴  Required S.P. = (100 – 18.4)% of 200
 = Rs. 200 × 81.6 = Rs. 163.2 100

1. The list price of an electric fan is Rs. 300. If two successive discounts of 15% and 10% are
allowed, its selling price would be
1. Rs. 227.50
2. Rs. 225
3. Rs. 230
4. Rs. 229.50

1.  Single equivalent discount for 15% and 10%. = 15 + 10 − 15 × 10 % 100

Single equivalent discount for 15% and 10%. = (25 – 1.5) % = 23.5 %
∴  Required S.P = (100 – 23.5)% of 300

2nd Method to solve this question :
According to given question.
Here, M.P. = Rs. 300, S.P. = ?
D1 = 15%, D2 = 10%
 S.P. = M.P. 100 − D1  100 − D2 100 100

 S.P = 300 100 − 15  100 − 10 100 100

##### Correct Option: D

 Single equivalent discount for 15% and 10%. = 15 + 10 − 15 × 10 % 100

Single equivalent discount for 15% and 10%. = (25 – 1.5) % = 23.5 %
∴  Required S.P = (100 – 23.5)% of 300
 ∴  Required S.P = 300 × 76.5 = Rs. 229.5 100

2nd Method to solve this question :
According to given question.
Here, M.P. = Rs. 300, S.P. = ?
D1 = 15%, D2 = 10%
 S.P. = M.P. 100 − D1  100 − D2 100 100

 S.P = 300 100 − 15  100 − 10 100 100
 S.P = 300 × 85 × 90 = 229.50 100 100