621. Arun buys one kilogram of apples for Rs. 120 and sells it to Swati gaining 25%. Swati sells it to Divya who again sells it for Rs. 198, making a profit of 10%. What is the profit percentage made by Swati?

1. 1. 25%

   
   
   

   2. 20%

   
   
   

   3. 16.67%

   
   
   

   4. 15%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given in question , C.P. for Arun = Rs. 120
   

   C.P. for Swati = Rs.			120 × 125			= Rs. 150
   			100

   
   

   C.P. for Divya = Rs.			100	× 198		= Rs. 180
   			110

   
   

   Correct Option: B

   Given in question , C.P. for Arun = Rs. 120
   

   C.P. for Swati = Rs.			120 × 125			= Rs. 150
   			100

   
   

   C.P. for Divya = Rs.			100	× 198		= Rs. 180
   			110

   
   ∴ S.P. for Swati = Rs. 180
   Profit = S.P. for Swati - C.P. for Swati = 180 - 150 = $ 30
   

   ∴ Profit percent =		30	× 100 =	30 × 2	= 20 %
   		150		3

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622. A sold a watch at a gain of 5% to B and B sold it to C at a gain of 4%. If C paid Rs. 91 for it, the price paid by A is :

1. 1. Rs. 83.33

   
   
   

   2. Rs. 84.33

   
   
   

   3. Rs. 83

   
   
   

   4. Rs. 82.81

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose C.P. of watch for A = Rs. y
   According to the question,
   

   y ×		105	×	104	= 91
   		100		100

   
   

   Correct Option: A

   Suppose C.P. of watch for A = Rs. y
   According to the question,
   

   y ×		105	×	104	= 91
   		100		100

   
   

   ⇒ y =	91 × 100 × 100
   	105 × 104

   
   

   ⇒ y =	250	= Rs. 83.33
   	3

   
   

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623. If 3 articles are sold for the cost of 5 articles, then the profit percentage is :

1. 1. 50

   
   
   

   2. 60

   
   
   

   3. 66	2
      	3

      
      

   
   
   

   4. 65

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C.P. of each article = $ 1
   ∴ C.P. of 3 articles = $ 3
   S.P. of 3 articles = $ 5
   Profit = S.P. of 3 articles - C.P. of 3 articles = 5 - 3 = $ 2
   

   Profit percent =	2	× 100
   	3

   
   

   Correct Option: C

   Let C.P. of each article = $ 1
   ∴ C.P. of 3 articles = $ 3
   S.P. of 3 articles = $ 5
   Profit = S.P. of 3 articles - C.P. of 3 articles = 5 - 3 = $ 2
   

   Profit percent =	2	× 100
   	3

   
   

   Profit percent =		200	= 66	2	%
   		3		3

   
   

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624. A dealer sold a bicycle at a profit of 10%. Had he bought the bicycle at 10% less price and sold it at a price Rs. 60 more, he would have gained 25%. The cost price of the bicycle was

1. 1. Rs. 2400

   
   
   

   2. Rs. 2600

   
   
   

   3. Rs. 2000

   
   
   

   4. Rs. 2200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose C.P. of cycle = Rs. y
   

   ∴ S.P. =		110y	= Rs.	11y
   		100		10

   
   Case II,
   

   New C.P. = Rs.	9y
   	10

   
   

   ∴		11y	+ 60 =	9y	×	125
   		10		10		100

   
   

   ⇒		11y	+ 60 = Rs.	9y
   		10		8

   
   

   Correct Option: A

   Suppose C.P. of cycle = Rs. y
   

   ∴ S.P. =		110y	= Rs.	11y
   		100		10

   
   Case II,
   

   New C.P. = Rs.	9y
   	10

   
   

   ∴		11y	+ 60 =	9y	×	125
   		10		10		100

   
   

   ⇒		11y	+ 60 = Rs.	9y
   		10		8

   
   

   ⇒		9y	-	11y	= 60
   		8		10

   
   

   ⇒	90y - 88y	= 60
   	80

   
   

   ⇒	2y	= 60
   	80

   
   

   ⇒	y	= 60
   	40

   
   ⇒ y = 60 × 40 = Rs. 2400

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625. A radio is sold at a profit of 20%. Had it been sold for Rs. 60 more the profit would have been 30%. The cost price of the radio is

1. 1. Rs. 500

   
   
   

   2. Rs. 600

   
   
   

   3. Rs. 550

   
   
   

   4. Rs. 620

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose that C.P. of radio = Rs. y
   According to the question,
   

   ⇒		130y	-	120y	= 60
   		100		100

   
   

   ⇒	10x	= 60
   	100

   
   ⇒ y = 60 × 10 = Rs. 600
   We can find required answer with the help of given formula :
   Here, a = 20%, R = Rs 60, b = 30%
   

   Correct Option: B

   Suppose that C.P. of radio = Rs. y
   According to the question,
   

   ⇒		130y	-	120y	= 60
   		100		100

   
   

   ⇒	10x	= 60
   	100

   
   ⇒ y = 60 × 10 = Rs. 600
   We can find required answer with the help of given formula :
   Here, a = 20%, R = Rs 60, b = 30%
   

   C.P. =	R	× 100
   	(b - a)

   
   

   C.P. =	60	× 100 = Rs. 600
   	(30 - 20)

   
   

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