Discount
 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

 10%
 20%
 16^{2}/_{3}%
 16^{1}/_{3}%

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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/7Correct 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%
= 16^{2}/_{3}%
 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?

 8 %
 10 %
 12 %
 15 %

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∵ 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 = ₹ 96Correct 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 %
 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

 ₹ 1000
 ₹ 1100
 ₹ 1200
 ₹ 1300

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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
 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

 18 %
 18.5 %
 20.5 %
 20 %

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

 15 %
 20 %
 30 %
 25 %

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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 %