## Discount

#### Discount

1. A trader lists his article 20 % above their cost prices and allows a discount of 10 % at the time of sale . His gain percent is
1. 5 %
2. 6 %
3. 8 %
4. 10 %

1. Let the CP = N
∴ Marked price of item = (N x 120)/100 = 6N/5
Then, SP of item = (6N/5) x (100 -10)/100 = 27N/25
Profit = (27N/25) - N = 2N/25

##### Correct Option: C

Let the CP = N
∴ Marked price of item = (N x 120)/100 = 6N/5
Then, SP of item = (6N/5) x (100 -10)/100 = 27N/25
Profit = (27N/25) - N = 2N/25
Profit % = [(2N/25) / N] x 100% = 8 %

1. While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9% he would have got ₹ 15 less as profit . The marked price of the shirt is
1. ₹ 750
2. ₹ 720
3. ₹ 712.50
4. ₹ 600

1. Let MP of the shirt = ₹ N
According to the question,
[(9 - 7) x N] / 100 = 15

##### Correct Option: A

Let MP of the shirt = ₹ N
According to the question,
[(9 - 7) x N] / 100 = 15
⇒ N = (15 x 100) / 2 = ₹ 750

1. While selling a watch, a shopkeeper gives a discount of 5 % . If he gives a discount of
6 %, he earns ₹ 15 less as profit. What is the marked price of the watch ?
1. ₹ 1250
2. ₹ 1400
3. ₹ 1500
4. ₹ 750

1. Given, r1 = 5 %, r2 = 6 %and earning = ₹ 15
Let marked price of the watch be ₹ N .
Then, (6 - 5) % of N = 15

##### Correct Option: C

Given, r1 = 5 %, r2 = 6 %and earning = ₹ 15
Let marked price of the watch be ₹ N .
Then, (6 - 5) % of N = 15
⇒ N = 15 x 100
∴ N = ₹ 1500

1. After allowing a discount of 16%, there was still a gain of 5%. Then, the percentage of marked price over the cost price is
1. 15%
2. 18%
3. 21%
4. 25%

1. Here, r = 16% and R = 5%
∴ Required percentage
= [(r + R)/(100 - r)] x 100%

##### Correct Option: D

Here, r = 16% and R = 5%
∴ Required percentage
= [(r + R)/(100 - r)] x 100%
= [(16 + 5)/(100 - 16)] x 100% = 21 x 100/84% = 25 %

1. A Shopkeeper marks an article at ₹ 60 and sells at a discount of 15%. He also gives a gift worth ₹ 3 . If the still makes 20% profit, the cost price is
1. ₹ 22
2. ₹ 32
3. ₹ 40
4. ₹ 42

1. ∵ MP of the article = ₹ 60
SP of the article = [60 x (100 - 15)]/100
= (60 x 85)/100 = ₹ 51

Thus, actual SP of the article = (51 - 3) = ₹ 48
Hence, CP of the article = (48 x 100)/(100 + 20)

##### Correct Option: C

∵ MP of the article = ₹ 60
SP of the article = [60 x (100 - 15)]/100
= (60 x 85)/100 = ₹ 51

Thus, actual SP of the article = (51 - 3) = ₹ 48
Hence, CP of the article = (48 x 100)/(100 + 20)
= (48 x 100)/120
= ₹ 40