216. A trader marked the price of a commodity so as to include a profit of 25%, but allowed a discount of 16% on the marked price. His actual profit will be

1. 1. 16%

   
   
   

   2. 25%

   
   
   

   3. 5%

   
   
   

   4. 9%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose C.P. of article = $ 100
   Marked price = $ 125
   

   S.P. =	125 × 84	= $ 105
   	100

   
   Gain = S.P. - C.P. = 105 - 100 = 5
   

   Gain percent =	5	× 100 = 5%
   	100

   
   Second Method to solve this question :
   Here , a = 25% , b = 16%
   

   ∴ Gain % = a - b -	ab
   	100

   
   

   Correct Option: C

   Suppose C.P. of article = $ 100
   Marked price = $ 125
   

   S.P. =	125 × 84	= $ 105
   	100

   
   Gain = S.P. - C.P. = 105 - 100 = 5
   

   Gain percent =	5	× 100 = 5%
   	100

   
   Second Method to solve this question :
   Here , a = 25% , b = 16%
   

   ∴ Gain % = a - b -	ab
   	100

   
   

   Gain percent =		25 - 16 -	25 × 16			% = 5%
   			100

   
   
   

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217. A got 30% concession on the label price of an article sold for $ 8,750 with 25% profit on the price he bought. The label price was

1. 1. $ 13,000

   
   
   

   2. $ 16,000

   
   
   

   3. $ 12,000

   
   
   

   4. $ 10,000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Marked price = $ y
   

   ∴ C.P. =		70y	= $	7y
   		100		10

   
   

   ∴		7y	×	125	= 8750
   		10		100

   
   

   Correct Option: D

   Let Marked price = $ y
   

   ∴ C.P. =		70y	= $	7y
   		100		10

   
   

   ∴		7y	×	125	= 8750
   		10		100

   
   

   ⇒ y =	8750 × 1000	= $ 10000
   	7 × 125

   
   

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218. A shopkeeper allows a rebate of 12% on the marked price of an article such that the selling price is $ 440. Then the marked price of the article is

1. 1. $ 490

   
   
   

   2. $ 500

   
   
   

   3. $ 600

   
   
   

   4. $ 550

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose Marked price of article = $ y
   Selling price = $ 440
   ∴ y × (100 – 12)% = 440
   ⇒ y × 88% = 440
   

   ⇒ y ×	88	= 440
   	100

   
   

   Correct Option: B

   Suppose Marked price of article = $ y
   Selling price = $ 440
   ∴ y × (100 – 12)% = 440
   ⇒ y × 88% = 440
   

   ⇒ y ×	88	= 440
   	100

   
   

   ⇒ y =	440 × 100	= $ 500
   	88

   
   

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219. Pratap buys a watch at (4 / 5) th of its marked price and sells it for 17% more than its marked price. His profit based on its cost is

1. 1. Rs. 20

   
   
   

   2. Rs. 25

   
   
   

   3. Rs. 37

   
   
   

   4. Rs. 17

   
   
   

   5. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the marked price of watch be Rs. x
   According to question ,
   

   ∴ S.P = Rs.	4x	= C.P. of Pratap
   	5

   
   

   S.P. for Pratap = Rs.		117 × x	= Rs.	117x
   		100		100

   
   

   ∴ Gain =		117x	-	4x
   		100		5

   
   

   Gain =	117x - 80x
   	100

   
   

   Correct Option: E

   Let the marked price of watch be Rs. x
   According to question ,
   

   ∴ S.P = Rs.	4x	= C.P. of Pratap
   	5

   
   

   S.P. for Pratap = Rs.		117 × x	= Rs.	117x
   		100		100

   
   

   ∴ Gain =		117x	-	4x
   		100		5

   
   

   Gain =	117x - 80x
   	100

   
   

   Gain = Rs.	37x
   	100

   
   
   

   Gain % =	37 × 5	= 46.25%
   	4

   
   

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220. A man purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid $ 675 for it. For how much did A purchase it (in $)?

1. 1. 625

   
   
   

   2. 575

   
   
   

   3. 600

   
   
   

   4. 550

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. of A be $ y, then
   According to question ,
   

   		y × 125	×	90	= 675
   		100		100

   
   

   ⇒ y =	675 × 100 × 100	= $ 600
   	125 × 90

   
   Using the given formula :
   Here, r₁ = 25%, r₂ = 10%, (Loss)
   

   C.P. for C = C.P. for A

   
   

   675 = C.P. for A

   
   

   Correct Option: C

   Let the C.P. of A be $ y, then
   According to question ,
   

   		y × 125	×	90	= 675
   		100		100

   
   

   ⇒ y =	675 × 100 × 100	= $ 600
   	125 × 90

   
   Using the given formula :
   Here, r₁ = 25%, r₂ = 10%, (Loss)
   

   C.P. for C = C.P. for A

   
   

   675 = C.P. for A

   
   

   C.P. for A =	675 × 100 × 100	= $ 600
   	125 × 90

   
   

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