81. A man sells two articles for $ 5000 each neither losing nor gaining in the deal. If he sold one of them at a gain of 25%, the other article is sold at a loss of

1. 1. 15	2	%
      	3

   
   
   

   2. 16	2	%
      	3

   
   
   

   3. 17	1	%
      	3

   
   
   

   4. 18	1	%
      	3

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , SP of each article = $ 5000
   at a gain of 25%,
   

   CP of first article = 5000 ×	100	= $ 4000
   	125

   
   ∴ Loss on second article = $ 1000
   ∴ CP of second article = $ 6000
   ∴ If the loss percent be y%,
   

   Correct Option: B

   Here , SP of each article = $ 5000
   at a gain of 25%,
   

   CP of first article = 5000 ×	100	= $ 4000
   	125

   
   ∴ Loss on second article = $ 1000
   ∴ CP of second article = $ 6000
   ∴ If the loss percent be y%,
   then
   

   	6000 × y	= 1000
   	100

   
   

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82. A dishonest shopkeeper, using a faulty balance makes a profit of 5% while buying as well as while selling his goods. His actual gain percent in the whole process amounts to

1. 1. 11%

   
   
   

   2. 10%

   
   
   

   3. 10.25%

   
   
   

   4. 10.5%

   
   
   

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1. View Hint View Answer Discuss in Forum

   We can find required answer with the help of given formula ,
   

   Actual gain percent =		a + b +	a x b		%
   			100

   
   Here , a = b = 5%

   Correct Option: C

   We can find required answer with the help of given formula ,
   

   Actual gain percent =		a + b +	a x b		%
   			100

   
   Here , a = b = 5%
   

   Actual gain percent =		5 + 5 +	5 x 5		% = 10.25%
   			100

   
   

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83. X sells two articles for $ 4,000 each with no loss and no gain in the transaction. If one was sold at a gain of 25% the other is sold at a loss of

1. 1. 25%

   
   
   

   2. 18	2	%
      	9

   
   
   

   3. 20%

   
   
   

   4. 16	2	%
      	3

      
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , S.P. of first article = $ 4,000
   gain % of first article = 25%
   

   ∴ C.P. of first article = 4,000 ×	100	= $ 3200
   	120

   
   ∴ Loss on second article = 4000 – 3200 = $ 800
   Now C.P. of second article = 4000 + 800 = $ 4800
   & S.P. of second article = $ 4000
   ∴ Loss of second article = 4800 – 4000 = $ 800
   

   Correct Option: D

   Given that , S.P. of first article = $ 4,000
   gain % of first article = 25%
   

   ∴ C.P. of first article = 4,000 ×	100	= $ 3200
   	120

   
   ∴ Loss on second article = 4000 – 3200 = $ 800
   Now C.P. of second article = 4000 + 800 = $ 4800
   & S.P. of second article = $ 4000
   ∴ Loss of second article = 4800 – 4000 = $ 800
   

   ∴ Loss % =		800 × 100	=	50
   		4800		3

   
   

   Loss % = 16	2	%
   	3

   
   

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84. If selling price of an article is reduced by 60%, then there is a loss of 10% on cost price. The initial profit percent was

1. 1. 70%

   
   
   

   2. 80%

   
   
   

   3. 100%

   
   
   

   4. 125%

   
   
   

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1. View Hint View Answer Discuss in Forum

   If cost price be p and selling price be q, then
   

   Profit % =			q - p			× 100
   			p

   
   

   Profit % =			q	- 1		× 100
   			p

   
   

   Selling price =	2q
   	5

   
   

   Loss =		p -	2q
   			5

   
   

   ∴ 10 =	{ p - ( 2q / 5) }	× 100
   	p

   
   ⇒ 10p – 4q = p
   ⇒ 9p = 4q
   

   ⇒		q	=	9
   		p		4

   
   

   ∴ Initial profit percent =			9	- 1		× 100 = 125%
   			4

   
   Second Method to solve this question :
   Shorter way is to go through options
   From the given alternatives (4),
   Gain = 125%
   

   Correct Option: D

   If cost price be p and selling price be q, then
   

   Profit % =			q - p			× 100
   			p

   
   

   Profit % =			q	- 1		× 100
   			p

   
   

   Selling price =	2q
   	5

   
   

   Loss =		p -	2q
   			5

   
   

   ∴ 10 =	{ p - ( 2q / 5) }	× 100
   	p

   
   ⇒ 10p – 4q = p
   ⇒ 9p = 4q
   

   ⇒		q	=	9
   		p		4

   
   

   ∴ Initial profit percent =			9	- 1		× 100 = 125%
   			4

   
   Second Method to solve this question :
   Shorter way is to go through options
   From the given alternatives (4),
   Gain = 125%
   If C.P. = $ 100 then
   original S.P. = $ 225
   New S.P. = $ 90
   Loss% = 10

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85. If the percentage of profit calculated on selling price of an article is 20%, percentage of profit calculated on cost price will be
    

1. 1. 16%

   
   
   

   2. 24%

   
   
   

   3. 25%

   
   
   

   4. 28%

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   

   	S.P. - C.P.	× 100 = 20
   	S.P.

   
   ⇒ 5S.P. – 5C.P. = S.P.
   ⇒ 4S.P. = 5C.P.
   

   ∴	CP	=	4
   	SP		5

   
   Gain = SP - CP = 5 - 4 = 1
   

   Correct Option: C

   According to question ,
   

   	S.P. - C.P.	× 100 = 20
   	S.P.

   
   ⇒ 5S.P. – 5C.P. = S.P.
   ⇒ 4S.P. = 5C.P.
   

   ∴	CP	=	4
   	SP		5

   
   Gain = SP - CP = 5 - 4 = 1
   

   ∴ Required percentage =	1	× 100 = 25%
   	4

   
   

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