96. A tradesman, by means of a false balance defrauds 10 percent in buying goods and also defrauds 10 percent in selling. His gain percent is

1. 1. 10%

   
   
   

   2. 11%

   
   
   

   3. 21%

   
   
   

   4. 100%

   
   
   

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1. View Hint View Answer Discuss in Forum

   As per the given question ,
   

   Gain percent =			( 100 + 10 )	× ( 100 + 10 ) - 100		%
   			100

   
   

   Correct Option: C

   As per the given question ,
   

   Gain percent =			( 100 + 10 )	× ( 100 + 10 ) - 100		%
   			100

   
   

   Gain percent =			110	× 110 - 100		%
   			100

   
   Gain percent = (121 – 100)% = 21 percent

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97. If a manufacturer gains 10 percent, wholesaler 15 percent and retailer 25 percent, then the production cost of an article, whose retail price is $ 1,265, is

1. 1. $ 700

   
   
   

   2. $ 750

   
   
   

   3. $ 800

   
   
   

   4. $ 900

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , retail price = $ 1,265
   According to question ,
   

   ∴ Production cost = 1265 ×		100	×	100	×	100
   		( 100 + 25 )		( 100 + 15 )		( 100 + 10 )

   
   

   Correct Option: C

   Here , retail price = $ 1,265
   According to question ,
   

   ∴ Production cost = 1265 ×		100	×	100	×	100
   		( 100 + 25 )		( 100 + 15 )		( 100 + 10 )

   
   

   Production cost = 1265 ×		100	×	100	×	100	= $ 800
   		125		115		110

   
   
   

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98. An article passing through two hands is sold at a profit of 38% at the original cost price. If the first dealer makes a profit of 20%, then the profit percent made by the second is

1. 1. 15%

   
   
   

   2. 12%

   
   
   

   3. 10%

   
   
   

   4. 5%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the profit percent made by the second person be y.
   

   ∴ 38 =		y + 20 +	20y			%
   			100

   
   

   ⇒ 38 = y + 20 +	y
   	5

   
   

   ⇒	6y	= 38 - 20
   	5

   
   

   Correct Option: A

   Let the profit percent made by the second person be y.
   

   ∴ 38 =		y + 20 +	20y			%
   			100

   
   

   ⇒ 38 = y + 20 +	y
   	5

   
   

   ⇒	6y	= 38 - 20
   	5

   
   

   ⇒	6y	= 18
   	5

   
   

   ⇒ y =	18 × 5	= 15%
   	6

   
   

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99. Raghavan purchased a scooter at (13 / 15) of its selling price and sold it at 12% more than its selling price. His gain is.

1. 1. 20%

   
   
   

   2. 30%

   
   
   

   3. 38	1	%
      	13

   
   
   

   4. 29	3	%
      	13

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let marked price be x.
   

   ∴ C.P. =	13	x
   	15

   
   

   S.P. =	112x
   	100

   
   

   ∴ Profit =			112x	-	13x
   			100		15

   
   

   Profit

   
   

   ∴ Profit % =		76x	×	15	× 100
   		300		13x

   
   

   Correct Option: D

   Let marked price be x.
   

   ∴ C.P. =	13	x
   	15

   
   

   S.P. =	112x
   	100

   
   

   ∴ Profit =			112x	-	13x
   			100		15

   
   

   Profit

   
   

   ∴ Profit % =		76x	×	15	× 100
   		300		13x

   
   

   Profit % =		380	= 29	3	%
   		13		13

   
   

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100. If an article is sold at a gain of 5% instead of being sold at a loss of 5%, one gets $ 5 more. What is the cost price of the article?

1. 1. $ 100

   
   
   

   2. $ 105

   
   
   

   3. $ 50

   
   
   

   4. $ 110

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. of article = y
   According to the question,
   

   		105y	-	95y	= 5
   		100		100

   
   ⇒ 105y – 95y = 500
   ⇒ 10y = 500
   

   Correct Option: C

   Let the C.P. of article = y
   According to the question,
   

   		105y	-	95y	= 5
   		100		100

   
   ⇒ 105y – 95y = 500
   ⇒ 10y = 500
   

   ⇒ y =	500	= $ 50
   	10

   
   Hence , the cost price of the article is $ 50 .

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