101. The percentage of loss when an article is sold at $ 50 is the same as that of the profit when it is sold at $ 70. The above-mentioned percentage of profit or loss on the article is

1. 1. 10%

   
   
   

   2. 16	2	%
      	3

   
   
   

   3. 20%

   
   
   

   4. 22	2	%
      	3

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. be y
   According to the question,
   

   		y - 50	× 100 =	70 - y	× 100
   		y		y

   
   ⇒ y – 50 = 70 – y
   

   ⇒ 2y = 120 ⇒ y =	120	= 60
   	2

   
   Loss = 60 - 50 = $ 10
   

   ∴ Loss % =	10	× 100
   	60

   
   

   Correct Option: B

   Let the C.P. be y
   According to the question,
   

   		y - 50	× 100 =	70 - y	× 100
   		y		y

   
   ⇒ y – 50 = 70 – y
   

   ⇒ 2y = 120 ⇒ y =	120	= 60
   	2

   
   Loss = 60 - 50 = $ 10
   

   ∴ Loss % =	10	× 100
   	60

   
   

   Loss % =		50	= 16	2	%
   		3		3

   
   

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102. By selling a table for $ 350 instead of $ 400, loss percent increases by 5%. The cost price of the table is :

1. 1. $ 1050

   
   
   

   2. $ 417.50

   
   
   

   3. $ 435

   
   
   

   4. $ 1000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , Difference of SP = $ (400 – 350) = $ 50
   Now, According to question ,
   ∴ 50 = 5% of CP
   

   ⇒ 50 =	5 × CP
   	100

   
   

   Correct Option: D

   Here , Difference of SP = $ (400 – 350) = $ 50
   Now, According to question ,
   ∴ 50 = 5% of CP
   

   ⇒ 50 =	5 × CP
   	100

   
   

   ⇒ CP =	50 × 100	= $ 1000
   	5

   
   

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103. A man gets $ 13 more by selling an article at a profit of (25 / 2) % and than selling it at a loss of (25 / 2) %. The cost price of the article is :

1. 1. $ 25.50

   
   
   

   2. $ 38

   
   
   

   3. $ 52

   
   
   

   4. $ 65

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. of article be x.
   According to the question,
   

   of x = 13

   
   
   

   Correct Option: C

   Let the C.P. of article be x.
   According to the question,
   

   of x = 13

   
   
   

   ⇒	x	× 25 = 13
   	100

   
   ∴ x = 13 × 4 = $ 52

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104. A dealer makes a profit of 20% even after giving a 10% discount on the advertised price of a scooter. If he makes a profit of $ 7500 on the sale of the scooter, the advertised price was

1. 1. $ 45000

   
   
   

   2. $ 47500

   
   
   

   3. $ 50000

   
   
   

   4. $ 52500

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the advertised price be $ 100.
   ∴ S.P. = $ 90, Profit = 20%.
   

   ∴ C.P. = $		90 ×	100			= $ 75
   			120

   
   Profit = $ (90–75) = $ 15
   Since for a profit of $ 15, the advertised price = $ 100
   

   Correct Option: C

   Let the advertised price be $ 100.
   ∴ S.P. = $ 90, Profit = 20%.
   

   ∴ C.P. = $		90 ×	100			= $ 75
   			120

   
   Profit = $ (90–75) = $ 15
   Since for a profit of $ 15, the advertised price = $ 100
   

   ∴ For a profit of 7500, the advertised price = $	100 × 7500	= $ 50000
   	15

   
   

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105. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be :

1. 1. 40%

   
   
   

   2. 140%

   
   
   

   3. 100%

   
   
   

   4. 120%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the CP be $ 100.
   ∴ SP = $ 120
   New SP = $ 240
   Profit = New SP - CP
   Profit = $ (240 – 100) = $ 140
   

   ∴ Profit % =	Profit	× 100 %
   	CP

   
   

   Correct Option: B

   Let the CP be $ 100.
   ∴ SP = $ 120
   New SP = $ 240
   Profit = New SP - CP
   Profit = $ (240 – 100) = $ 140
   

   ∴ Profit % =	Profit	× 100 %
   	CP

   
   

   Profit % =	140	× 100 = 140%
   	100

   
   

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