## Discount

#### Discount

1. While selling, businessman allows 40% discount on thee marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be
1. 10%
2. 20%
3. 162/3%
4. 161/3%

1. Let MP of an article = ₹ N
∴ SP of an article = N x (100 - 40)/100 = ₹ 3N / 5
CP of an article = {(3N/5) x 100}/{100 - 30}
= (3N/5) x (100/70) = ₹ 6N/7.

∴ Profit when sold at MP = N - (6N/7) = ₹ N/7

##### Correct Option: C

Let MP of an article = ₹ N
∴ SP of an article = N x (100 - 40)/100 = ₹ 3N / 5
CP of an article = {(3N/5) x 100}/{100 - 30}
= (3N/5) x (100/70) = ₹ 6N/7.

∴ Profit when sold at MP = N - (6N/7) = ₹ N/7
Hence, profit per cent = [(N/7) / (6N/7)] x 100% = 50/3%
= 162/3%

1. A man bought an article listed at ₹ 1500 with a discount of 20 % offered on the list price . What additional discount must be offered to the man to bring the net price to ₹ 1104?
1. 8 %
2. 10 %
3. 12 %
4. 15 %

1. ∵ Listed price of an article = ₹ 1500
∴ Price after first discount
= 1500 x (1 -20/100) = 1500 x 4/5 = ₹ 1200
Now, second discount = 1200 - 1104 = ₹ 96

##### Correct Option: A

∵ Listed price of an article = ₹ 1500
∴ Price after first discount
= 1500 x (1 -20/100) = 1500 x 4/5 = ₹ 1200
Now, second discount = 1200 - 1104 = ₹ 96
Hence, required percentage = (96/1200) x 100 % = 8 %

1. The cost price of an article is ₹ 800 . After allowing a discount of 10 %, a gain of 12.5 % was made . Then, the marked price of the article is
1. ₹ 1000
2. ₹ 1100
3. ₹ 1200
4. ₹ 1300

1. Here, CP = ₹ 800 , r = 10 % and R = 12.5 %
∴ Marked price (MP) = CP x (100 + R)/(100 - r)

##### Correct Option: A

Here, CP = ₹ 800 , r = 10 % and R = 12.5 %
∴ Marked price (MP) = CP x (100 + R)/(100 - r)
= 800 x (100 + 12.5)/(100 - 10)
= (800 x 112.5)/90 = ₹ 1000

1. The marked price of a radio is ₹ 480 . The shopkeeper allows a discount of 10 % and gains 8 % . If no discount is allowed, his gain percent would be
1. 18 %
2. 18.5 %
3. 20.5 %
4. 20 %

1. Here, MP = ₹ 480 , r = 10 % and R = 8 %
∴ CP = MP x (100 - r)/(100 + R)
profit = MP - CP

##### Correct Option: D

Here, MP = ₹ 480 , r = 10 % and R = 8 %
∴ CP = MP x (100 - r)/(100 + R)
= 480 x (100 - 10)/(100 + 8) = (480 x 90)/108 = ₹ 400
∴ Profit = 480 - 400 = ₹ 80
Hence, profit percent = (80/400) x 100 % = 20 %

1. The marked price of a TV is ₹ 16000 . After two successive discounts, it is sold for ₹ 11400 . If the first discount is 5 % , then the rate of second discount is
1. 15 %
2. 20 %
3. 30 %
4. 25 %

1. Let the rate of second discount = r %
∴ 11400 = 16000 (1 - 5/100) (1 - r/100)

##### Correct Option: D

Let the rate of second discount = r %
∴ 11400 = 16000 (1 - 5/100) (1 - r/100)
⇒ (11400/16000) x (20/19) = 1 - r/100
∴ r = 100 x (1 - 0.75) = 25 %