Discount
 If on a marked price, the difference of selling prices with a discount of 30 % and two successive discounts of 20 % and 10 % is ₹ 72, then the marked price (in ₹) is

 ₹ 3600
 ₹ 3000
 ₹ 2500
 ₹ 2400

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Let the marked price = ₹ N
The discount equivalent to successive discounts 20 % and 10 % = { r_{1} + r_{2}  (r_{1} r_{2})/100 } %
Where, r_{1} = 20 and r_{2} = 10
Then, 30  2 = 28 %
According to the question,
{(100  28)N}/100  {(100  30)N}/100 = 72Correct Option: A
Let the marked price = ₹ N
The discount equivalent to successive discounts 20 % and 10 % = { r_{1} + r_{2}  (r_{1} r_{2})/100 } %
Where, r_{1} = 20 and r_{2} = 10
Then, 30  2 = 28 %
According to the question,
{(100  28)N}/100  {(100  30)N}/100 = 72
⇒ (72N  70N)/100 = 72
∴ N = (72 x 100)/2 = ₹ 3600
 A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is

 45 : 56
 8 : 11
 47 : 56
 3 : 4

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Let the CP of book = ₹ P
Then, SP of book = {(100 + 12) x P}/100 = 112P/100
Now, the printed price = ₹ Q
Then, after discount,
the SP = (100  10)Q/100 = 90Q/100
Since, both SP are same.
Then, 112P/100 = 90Q/100Correct Option: A
Let the CP of book = ₹ P
Then, SP of book = {(100 + 12) x P}/100 = 112P/100
Now, the printed price = ₹ Q
Then, after discount,
the SP = (100  10)Q/100 = 90Q/100
Since, both SP are same.
Then, 112P/100 = 90Q/100
⇒ P/Q = 45/56
⇒ 45 : 56
 A manufacturer marked an article at ₹ 50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was

 ₹ 40
 ₹ 35
 ₹ 32
 ₹ 30

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∵ Marked price of an article = ₹ 50
∴ SP of an article = 50 x (100  20)/100
= (50 x 80)/100
= ₹ 40
Hence, cost price of an article = (40 x 100)/(100 + 25)Correct Option: C
∵ Marked price of an article = ₹ 50
∴ SP of an article = 50 x (100  20)/100
= (50 x 80)/100
= ₹ 40
Hence, cost price of an article = (40 x 100)/(100 + 25)
= (40 x 100)/125
= ₹ 32
 A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash, is ?

 10.5%
 15%
 9%
 8.5%

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Let CP of the goods = ₹ N
∴ Marked price of the goods = N x {(100 + 30)/100} = ₹ 13N/10
Now, SP of the goods = (13N/10) x (100  15/100)
= (13N/10) x (85/100) = ₹ 221N/200
⇒ Profit = {(221 x N)/200}  N = ₹ 21N/200Correct Option: A
Let CP of the goods = ₹ N
∴ Marked price of the goods = N x {(100 + 30)/100} = ₹ 13N/10
Now, SP of the goods = (13N/10) x (100  15/100)
= (13N/10) x (85/100) = ₹ 221N/200
⇒ Profit = {(221 x N)/200}  N = ₹ 21N/200
Hence, profit per cent = [{21N/200} /N] x 100 % = 2100/200 = 10.5 %
 By selling an article at 3/4th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is

 5 : 3
 3 : 5
 3 : 4
 4 : 3

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Let MP of an article = ₹ R
∴ SP of an article = ₹ 3R/4
and CP of an article
= (3R/4) x {100/(100 + 25)}Correct Option: A
Let MP of an article = ₹ R
∴ SP of an article = ₹ 3R/4
and CP of an article
= (3R/4) x {100/(100 + 25)}
= 3R/4 x (100/125)
= ₹ 3R/5
Required ratio = R : 3R/5 = 5 : 3