231. A sells a cycle to B at a profit of 10%, B sells to C at a profit of 20%. If C pays $ 264 for it, how much did A pay for it?

1. 1. $ 200

   
   
   

   2. $ 220

   
   
   

   3. $ 225

   
   
   

   4. $ 234

   
   
   

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1. View Hint View Answer Discuss in Forum

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

   y ×		110	×	120	= 264
   		100		100

   
   

   ⇒ y =	264 × 100 × 100	= $ 200
   	110 × 120

   
   We can find required answer with the help of given formula :
   Here, r₁ = 10%, r₂ = 20%
   
   

   Correct Option: A

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

   y ×		110	×	120	= 264
   		100		100

   
   

   ⇒ y =	264 × 100 × 100	= $ 200
   	110 × 120

   
   We can find required answer with the help of given formula :
   Here, r₁ = 10%, r₂ = 20%
   
   

   C.P. for A =	264 × 100 × 100	= $ 200
   	110 × 120

   
   

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232. A shopkeeper purchases two items for Rs. 520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss?

1. 1. Rs. 288

   
   
   

   2. Rs. 232

   
   
   

   3. Rs. 320

   
   
   

   4. Rs. 200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , C.P. of two articles = Rs. 520
   Suppose C.P. of article sold at loss = Rs. y.
   ∴ C.P. of article sold at profit = Rs. (520 – y)
   According to the question,
   

   y ×		10	= (520 – y) ×	16
   		100		100

   
   ⇒ 5y = 520 × 8 – 8y
   ⇒ 13y = 520 × 8
   

   ⇒ y =	520 × 8	= Rs. 320
   	13

   
   

   Correct Option: A

   Given that , C.P. of two articles = Rs. 520
   Suppose C.P. of article sold at loss = Rs. y.
   ∴ C.P. of article sold at profit = Rs. (520 – y)
   According to the question,
   

   y ×		10	= (520 – y) ×	16
   		100		100

   
   ⇒ 5y = 520 × 8 – 8y
   ⇒ 13y = 520 × 8
   

   ⇒ y =	520 × 8	= Rs. 320
   	13

   
   On 10% loss ,
   

   ∴ Its S.P. =	320 × 90	= Rs. 288
   	100

   
   

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233. A sold a tape-recorder to B for $ 4,860 at a loss of 19%. Again B sold it to C at a price that would give A a profit of 17%. The gain% of B is

1. 1. 22	2	%
      	9

   
   
   

   2. 33	1	%
      	3

   
   
   

   3. 44	4	%
      	9

   
   
   

   4. 66	2	%
      	3

      
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , S.P. of tape recorder for A = $ 4,860
   

   C.P. of tape recorder for A =		4860 × 100	=	4860 × 100	= $ 6000
   		(100 - 19)		81

   
   

   ∴ S.P. for B =	6000 × 117	= $ 7020
   	100

   
   ∴ B’s gain = 7020 – 4860 = $ 2160
   
   

   Correct Option: C

   Given that , S.P. of tape recorder for A = $ 4,860
   

   C.P. of tape recorder for A =		4860 × 100	=	4860 × 100	= $ 6000
   		(100 - 19)		81

   
   

   ∴ S.P. for B =	6000 × 117	= $ 7020
   	100

   
   ∴ B’s gain = 7020 – 4860 = $ 2160
   

   ∴ Required profit percent =		2160	× 100 = 44	4	%
   		4860		9

   
   

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234. A piece of land came to a person through three middlemen each gaining 20%. If the person purchased the land for $ 3,45,600 the original cost of the land was

1. 1. $ 1,00,000

   
   
   

   2. $ 1,50,000

   
   
   

   3. $ 1,75,800

   
   
   

   4. $ 2,00,000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the original cost of the land be $ p.
   According to the question,
   
   
   

   Correct Option: D

   Let the original cost of the land be $ p.
   According to the question,
   
   
   

   ⇒ p =	462 × 100 × 100	= $ 400
   	110 × 105

   
   

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235. A sells an article to B at a gain of 10%, B sells it to C at a gain of 5%. If C pays $ 462 for it, what did it cost to A?

1. 1. $ 500

   
   
   

   2. $ 450

   
   
   

   3. $ 600

   
   
   

   4. $ 400

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. for A be $ y, then
   From the question ,
   

   y ×		110	×	105	= $ 462
   		100		100

   
   

   ⇒ y =	462 × 100 × 100	= $ 400
   	110 × 105

   
   Using the given formula :
   Here, r₁ = 10%, r₂ = 5%
   

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

   
   

   462 = C.P. for A

   
   

   Correct Option: D

   Let the C.P. for A be $ y, then
   From the question ,
   

   y ×		110	×	105	= $ 462
   		100		100

   
   

   ⇒ y =	462 × 100 × 100	= $ 400
   	110 × 105

   
   Using the given formula :
   Here, r₁ = 10%, r₂ = 5%
   

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

   
   

   462 = C.P. for A

   
   

   C.P. for A =	462 × 100 × 100	= $ 400
   	110 × 105

   
   

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