116. A house worth $ 1,50,000 is sold by X at a 5% profit to Y, Y sells the house back to X at a 2% loss. Then in the entire transaction?

1. 1. X gains $ 4,350

   
   
   

   2. X loses $ 4,350

   
   
   

   3. X gains $ 3,150

   
   
   

   4. X loses $ 3,150

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , Cost price of house for X = $ 1,50,000
   at a 5% profit ,
   

   Cost price of house for Y =	105	× 150000 = $ 157500
   	100

   
   at a 2% loss ,
   

   Correct Option: C

   Given that , Cost price of house for X = $ 1,50,000
   at a 5% profit ,
   

   Cost price of house for Y =	105	× 150000 = $ 157500
   	100

   
   at a 2% loss ,
   

   S.P. of house for Y =	98	× Rs. 157500 = $ 154350
   	100

   
   ∴ Gain for X = $ (157500 – 154350) = $ 3150

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117. If 3 toys are sold at the cost price of 4 toys of the same kind, the profit will be :

1. 1. 25%

   
   
   

   2. 33	1	%
      	3

   
   
   

   3. 66	2	%
      	3

   
   
   

   4. 50%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the cost price of each toy be x
   ∴ Cost price of 4 toys = Selling price of 3 toys = 4x
   

   ∴ Selling price of 4 toys =		4	× 4x =	16	x
   		3		3

   
   
   

   Profit % =			16	- 4		× 25%
   			3

   
   

   Correct Option: B

   Let the cost price of each toy be x
   ∴ Cost price of 4 toys = Selling price of 3 toys = 4x
   

   ∴ Selling price of 4 toys =		4	× 4x =	16	x
   		3		3

   
   
   

   Profit % =			16	- 4		× 25%
   			3

   
   

   Profit % =		4	× 25% =	100	% = 33	1	%
   		3		3		3

   
   

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118. If a man estimates his loss as 20% of the selling price, then his loss percent is :

1. 1. 20%

   
   
   

   2. 25%

   
   
   

   3. 	40	%
      	3

   
   
   

   4. 	50	%
      	3

      
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. be $ 100
   From the question ,
   

   ∴ C.P. – S.P. =	1	S.P.
   	5

   
   

   ⇒ 100 – S.P. =	1	S.P.
   	5

   
   

   ⇒ 100 =		1 +	1			S.P.
   			5

   
   

   ⇒ 100 =	6	× S.P.
   	5

   
   

   ⇒ S.P. =		100 × 5	= $	250
   		6		3

   
   

   Correct Option: D

   Let the C.P. be $ 100
   From the question ,
   

   ∴ C.P. – S.P. =	1	S.P.
   	5

   
   

   ⇒ 100 – S.P. =	1	S.P.
   	5

   
   

   ⇒ 100 =		1 +	1			S.P.
   			5

   
   

   ⇒ 100 =	6	× S.P.
   	5

   
   

   ⇒ S.P. =		100 × 5	= $	250
   		6		3

   
   
   

   Loss % =	50	%
   	3

   
   

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119. A man wanted to sell an article with 20% profit; but he actually sold at 20% loss for $ 480. At what price he wanted to sell it to earn the profit?

1. 1. $ 720

   
   
   

   2. $ 840

   
   
   

   3. $ 600

   
   
   

   4. $ 750

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the cost price of article be y.
   SP of article at 20% loss = $ 480
   ∴ ( 100 - 20 )% of y = 480
   ⇒ 80% × y = 480
   

   ∴ y =			480 × 100			= $ 600
   			80

   
   

   Correct Option: A

   Let the cost price of article be y.
   SP of article at 20% loss = $ 480
   ∴ ( 100 - 20 )% of y = 480
   ⇒ 80% × y = 480
   

   ∴ y =			480 × 100			= $ 600
   			80

   
   

   ∴ S.P. for 20% profit = $			600 × 120			= $ 720
   			100

   
   

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120. A reduction of 20% in the price of rice enables a buyer to buy 5 kg more for rupees 1200. The reduced price per kg of rice will be:

1. 1. 36

   
   
   

   2. 45

   
   
   

   3. 48

   
   
   

   4. 60

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose Original price of rice = Rs. y per kg.
   

   New price =		80y	= Rs.	4y	per kg
   		100		5

   
   According to the question,
   

   ⇒		1200	-	1200	= 5
   		(4y / 5)		y

   
   

   ⇒		1200 × 5	-	1200	= 5
   		4y		y

   
   

   ⇒		1500	-	1200	= 5
   		y		y

   
   

   ⇒	300	= 5 ⇒ 5y = 300
   	y

   
   

   Correct Option: C

   Suppose Original price of rice = Rs. y per kg.
   

   New price =		80y	= Rs.	4y	per kg
   		100		5

   
   According to the question,
   

   ⇒		1200	-	1200	= 5
   		(4y / 5)		y

   
   

   ⇒		1200 × 5	-	1200	= 5
   		4y		y

   
   

   ⇒		1500	-	1200	= 5
   		y		y

   
   

   ⇒	300	= 5 ⇒ 5y = 300
   	y

   
   

   ⇒ y =	300	= Rs. 60 per kg
   	5

   
   

   ∴ New price of rice = Rs.			4 × 60			= Rs. 48 per kg
   			5

   
   

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