Discount
 A retailer offers the following discount schemes for buyers on an article .
i. Two successive discounts of 10 % .
ii. A discount of 12 % followed by a discount of 8 %.
iii. Successive discount of 15 % and 5 % .
iv. A discount of 20 % .
The selling price will be minimum under the scheme

 i
 ii
 iii
 iv

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i. Equivalent single discount to 10 % and 10 % = 10 + 10  (10 x 10)/100 % = 19 %
ii. Equivalent single discount to 12 % and 8 % = 12 + 8  (12 x 8)/100 = 20  0.96 = 19.04 %
iii. Equivalent single discount to 15 % and 5 % = 15 + 5  (15 x 5)/100 = 20  0.75 = 19.25 %
iv. Equivalent single discount to 20 % = 20 %Correct Option: D
i. Equivalent single discount to 10 % and 10 % = 10 + 10  (10 x 10)/100 % = 19 %
ii. Equivalent single discount to 12 % and 8 % = 12 + 8  (12 x 8)/100 = 20  0.96 = 19.04 %
iii. Equivalent single discount to 15 % and 5 % = 15 + 5  (15 x 5)/100 = 20  0.75 = 19.25 %
iv. Equivalent single discount to 20 % = 20 % So, the selling price will be minimum under the scheme iv as in this scheme, the discount is maximum .
 The market price of a clock is ₹ 3200 . It is to be sold at ₹ 2448 at two successive discounts . If the first discount is 10 %, then the second discount is

 5 %
 10 %
 15 %
 20 %

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Let rate of second discount = r %
MP = ₹ 3200 , SP = ₹ 2448 ,
r_{1} = 10 % and r_{2} = r %
∴ y = MP x (100  r_{1}/100) (100  r_{2}/100)Correct Option: C
Let rate of second discount = r %
MP = ₹ 3200 , SP = ₹ 2448 ,
r_{1} = 10 % and r_{2} = r %
∴ y = MP x (100  r_{1}/100) (100  r_{2}/100)
⇒ 2448 = [3200 x (100  10) x (100  r)] / (100 x 100)
⇒ (2448 x 100 x 100) / (3200 x 90) = 100  r
∴ r = 100  85 = 15 %
 A shopkeeper sells not books at the rate of ₹ 457 each and earns a commission of 4% He also sells pencil boxes at the rate of ₹ 80 each and earns a commission of 20%. How much amount of commission will he he earn in two weeks, if he sells 10 notebooks and 6 pencil boxes a boy ?

 ₹ 1956
 ₹ 1586
 ₹1496
 ₹ 1596
 None of the above

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∴ S.P of the notebook = ₹457
∴ Commission on one notebook = ₹ (4 x 457)/100
and commission on 10 notebooks = 10 x (4 x 457)/100 = ₹ 18280
Now,S.P of the pencil box = ₹ 80
∴ Commission on 1 pencil box = ₹ (80 x 20)/100
Commission on 6 pencil boxes = (80 x 20 x 6)/100 = ₹ 96
Hence ,total commission of 1 day = (182.80 + 96 ) = ₹ 278.80Correct Option: E
∴ S.P of the notebook = ₹457
∴ Commission on one notebook = ₹ (4 x 457)/100
and commission on 10 notebooks = 10 x (4 x 457)/100 = ₹ 18280
Now,S.P of the pencil box = ₹ 80
∴ Commission on 1 pencil box = ₹ (80 x 20)/100
Commission on 6 pencil boxes = (80 x 20 x 6)/100 = ₹ 96
Hence ,total commission of 1 day = (182.80 + 96 ) = ₹ 278.80
Thus, total commission of 2 weeks = 278.80 x 14 = ₹ 3903.20
 If the price of an item is increased by 30 % and then allows two successive discounts of 10 % and 10 % . In last the price of an item is?

 Increased by 10%
 Increased by 5.3%
 decreased by 3%
 decreased by 5.3%

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Let the cost price of item = ₹ N
∴ Marked price of item = N x (100 + 30)/100 = ₹ 13N/10
Selling price of the item after two successive discount = (13N/10) x[ (100  10)/100 x (100  10)/100]
= (13N/10) x (90/100) x (90/100) = ₹ 1053N/1000Correct Option: B
Let the cost price of item = ₹ N
∴ Marked price of item = N x (100 + 30)/100 = ₹ 13N/10
Selling price of the item after two successive discount = (13N/10) x[ (100  10)/100 x (100  10)/100]
= (13N/10) x (90/100) x (90/100) = ₹ 1053N/1000
Increment in the price of item = [{(1053N/1000)  N} / N] x 100 %
= 53/10 %
= 5.3 %
 The difference between a discount of 30% on ₹ 2000 and two successive discounts of 25% and 5% on the same amount is

 ₹ 30
 ₹ 35
 ₹ 25
 ₹ 40

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Single equivalent discount per cent to 25% and 5%
= r_{1} + r_{2}  (r_{1} . r_{2})/100 %Correct Option: C
Single equivalent discount per cent to 25% and 5%
= r_{1} + r_{2}  (r_{1} . r_{2})/100 %
= 25 + 5  (25 x 5)/100
= 30  1.25
= 28.78 %
∴ Required difference = [(30  28.75) x 2000]/100
= 1.25 x 2000/100 = ₹ 25