241. A man sells two articles at $ 99 each. On one he gains 10% and on the other he loses 10%. What is his gain or loss percent on the whole transaction?

1. 1. Loss, 1%

   
   
   

   2. Loss, 1.5%

   
   
   

   3. Profit, 1%

   
   
   

   4. Profit, 1.5%

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know that ,
   

   Loss % = y% of y or	y2
   	100

   
   Here, y = 10
   

   Loss % =	102
   	100

   
   
   

   Correct Option: A

   As we know that ,
   

   Loss % = y% of y or	y2
   	100

   
   Here, y = 10
   

   Loss % =	102
   	100

   
   

   ∴ Loss% =	10 × 10	= 1%
   	100

   
   

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242. A man sells two pipes at $ 12 each. He gains 20% on one and loses 20% on the other. In the whole transaction, there is

1. 1. neither loss nor gain

   
   
   

   2. profit of $ 1

   
   
   

   3. loss of $ 1

   
   
   

   4. Profit of $ 2

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know that ,
   

   ∴ Required loss% =		y2
   		100

   
   Here , y = 20
   

   Required loss% =		(20)2	=	400	= 4%
   		100		100

   
   

   Correct Option: C

   As we know that ,
   

   ∴ Required loss% =		y2
   		100

   
   Here , y = 20
   

   Required loss% =		(20)2	=	400	= 4%
   		100		100

   
   SP of two pipes = 2 × 12 = $ 24
   ∵ (100 – 4)% ≡ 24
   

   ∴ 4% =	24	× 4 = Loss of $ 1
   	96

   
   

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243. Kewal sells two tape recorders at the same price. On one, he gains 10% and on the other he loses 10%. The total gain or loss in the transaction is
     

1. 1. 1% gain

   
   
   

   2. 1% loss

   
   
   

   3. No loss or gain

   
   
   

   4. 2% loss

   
   
   

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1. View Hint View Answer Discuss in Forum

   We can say that When S.P. of each of two items is same, on one of them there is x% loss and on the other there is y% gain, then there is always a loss given by (y% of y)% i.e.
   

   Loss% =	y2	%
   	100

   
   Here , y = 10%
   

   Correct Option: B

   We can say that When S.P. of each of two items is same, on one of them there is x% loss and on the other there is y% gain, then there is always a loss given by (y% of y)% i.e.
   

   Loss% =	y2	%
   	100

   
   Here , y = 10%
   

   ∴ The required loss % =	10 × 10	= 1%
   	100

   
   

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244. An article was sold at 16% gain. Had it been sold for $ 200 more, the gain would have been 20%. Then the cost price of the article is:

1. 1. $ 5000

   
   
   

   2. $ 4800

   
   
   

   3. $ 4500

   
   
   

   4. $ 5200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose C.P. of article be $ y.
   According to question ,
   

   y ×		116	+ 200 =	y × 120
   		100		100

   
   

   ⇒ y ×	4	= 200
   	100

   
   

   ⇒ y ×	200 × 100	= $ 5000
   	4

   
   We can find required answer with the help of given formula :
   Here, a = 16%, R = $ 200, b = 20%
   

   C.P. =	R × 100
   	b - a

   
   

   Correct Option: A

   Suppose C.P. of article be $ y.
   According to question ,
   

   y ×		116	+ 200 =	y × 120
   		100		100

   
   

   ⇒ y ×	4	= 200
   	100

   
   

   ⇒ y ×	200 × 100	= $ 5000
   	4

   
   We can find required answer with the help of given formula :
   Here, a = 16%, R = $ 200, b = 20%
   

   C.P. =	R × 100
   	b - a

   
   

   C.P. =	200 × 100
   	20 - 16

   
   

   C.P. =	200 × 100	= $ 5000
   	4

   
   

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245. On selling an almirah for $ 2576, a person got a profit of 12%. Had it been bought for $ 100 less, the profit percent would have been
     

1. 1. 11	1	%
      	9

   
   
   

   2. 13	1	%
      	3

   
   
   

   3. 17	1	%
      	11

   
   
   

   4. 17	9	%
      	11

      
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given in question , SP of the article = $ 2576
   on 12% profit ,
   

   CP of the article =			100	× 2576		= $ 2300
   			112

   
   New CP = $ 2200
   Gain = 2576 - 2200 = $ 376
   

   Correct Option: C

   Given in question , SP of the article = $ 2576
   on 12% profit ,
   

   CP of the article =			100	× 2576		= $ 2300
   			112

   
   New CP = $ 2200
   Gain = 2576 - 2200 = $ 376
   

   ∴ Gain percent =		376	× 100 = 17	1	%
   		2200		11

   
   

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