186. If by selling an article for Rs. 390 a shopkeeper gains 20%, then the cost price is

1. 1. Rs. 370

   
   
   

   2. Rs. 325

   
   
   

   3. Rs. 350

   
   
   

   4. Rs. 300

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given , selling price of article = Rs. 390
   Let the C.P. of article be Rs. y.
   According to the question ,
   

   y ×	120	= 390
   	100

   
   

   ⇒ y =	390 × 100	= Rs. 325
   	120

   
   

   Correct Option: B

   Given , selling price of article = Rs. 390
   Let the C.P. of article be Rs. y.
   According to the question ,
   

   y ×	120	= 390
   	100

   
   

   ⇒ y =	390 × 100	= Rs. 325
   	120

   
   Hence , the cost price is 325 .

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187. Loss of 20% on selling price is equal to x% loss on cost price. What is the value of x?

1. 1. 20

   
   
   

   2. 20

   
   
   

   3. 16	2
      	3

   
   
   

   4. 16

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given in question ,
   

   		20	=	1	=	CP. - S.P.
   		100		5		S.P.

   
   Suppose C.P. = Rs. x₁, S.P. = Rs. y
   ∴ 5x₁ – 5y = y
   ⇒ 5x₁ = 6y
   

   ⇒ y = Rs.	5	x1
   	6

   
   
   

   Correct Option: C

   Given in question ,
   

   		20	=	1	=	CP. - S.P.
   		100		5		S.P.

   
   Suppose C.P. = Rs. x₁, S.P. = Rs. y
   ∴ 5x₁ – 5y = y
   ⇒ 5x₁ = 6y
   

   ⇒ y = Rs.	5	x1
   	6

   
   
   

   x =		x1	× 100 =	50	= 16	2	%
   		6x1		3		3

   
   

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188. An article is sold at a certain price. If it is sold at half of the previous selling price, then there is a loss of (51 / 2)% . The profit after selling the article at the previous selling price is:

1. 1. 51%

   
   
   

   2. 49%

   
   
   

   3. 12	3	%
      	4

   
   
   

   4. 24	1	%
      	2

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. of article be Rs. 100 and its S.P. be Rs. x.
   According to the question.
   

   When S.P. = Rs	x
   	2

   
   
   

   ⇒ 100 -		x	=	51
   		2		2

   
   

   Correct Option: B

   Let the C.P. of article be Rs. 100 and its S.P. be Rs. x.
   According to the question.
   

   When S.P. = Rs	x
   	2

   
   
   

   ⇒ 100 -		x	=	51
   		2		2

   
   

   Loss percent =		x	= 100 -	51	=	200 - 51
   		2		2		2

   
   ⇒ x = Rs. 149
   ⇒ Required profit percent = 49%

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189. An article is sold at a loss of 10%. Had it been sold for $ 9 more, there would have been a gain of (25 / 2) % on it. The cost price of the article is :

1. 1. $ 40

   
   
   

   2. $ 45

   
   
   

   3. $ 50

   
   
   

   4. $ 35

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the cost price of the article = $ x
   

   S.P. at 10% loss = x ×		90	=	9x
   		100		10

   
   

   at 12	1	% gain ,
   	2

   
   S.P.
   According to the question ,
   

   		9x	+ 9 =	225x
   		10		200

   
   ⇒ 180x + 1800 = 225x
   ⇒ 225x – 180x = 1800
   ⇒ 45x = 1800
   ⇒ x = $ 40
   We can find required answer with the help of given formula :
   Here, a = 10%, R = 9, b = 12.5%
   

   C.P. =	R × 100
   	a + b

   
   

   Correct Option: A

   Let the cost price of the article = $ x
   

   S.P. at 10% loss = x ×		90	=	9x
   		100		10

   
   

   at 12	1	% gain ,
   	2

   
   S.P.
   According to the question ,
   

   		9x	+ 9 =	225x
   		10		200

   
   ⇒ 180x + 1800 = 225x
   ⇒ 225x – 180x = 1800
   ⇒ 45x = 1800
   ⇒ x = $ 40
   We can find required answer with the help of given formula :
   Here, a = 10%, R = 9, b = 12.5%
   

   C.P. =	R × 100
   	a + b

   
   

   C.P. =	12 × 100
   	12.5 + 10

   
   

   C.P. =	900	= $ 40
   	22.5

   
   

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190. A man sold an article at a loss of 20%. If he has sold that article for $ 12 more he would have gained 10%. Find the cost price of that article :

1. 1. $ 60

   
   
   

   2. $ 40

   
   
   

   3. $ 30

   
   
   

   4. $ 22

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let y be the cost price .
   According to question ,
   ( 100 - 20 )% of y + 12 = ( 100 + 10 )%
   ⇒ 80% y + 12 = 110%
   ⇒ 30% y = 12
   

   y =	12	× = $ 40
   	30

   
   We can find required answer with the help of given formula :
   Here, a = 20%, R = 12, b = 10%
   

   C.P. =	R × 100
   	b + a

   
   

   Correct Option: B

   Let y be the cost price .
   According to question ,
   ( 100 - 20 )% of y + 12 = ( 100 + 10 )%
   ⇒ 80% y + 12 = 110%
   ⇒ 30% y = 12
   

   y =	12	× = $ 40
   	30

   
   We can find required answer with the help of given formula :
   Here, a = 20%, R = 12, b = 10%
   

   C.P. =	R × 100
   	b + a

   
   

   C.P. =	12 × 100	= $ 40
   	12 + 10

   
   

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