206. A dealer purchased a washing machine for $ 7,660. After allowing a discount of 12% on its marked price, he still gains 10%. Find the marked price of the washing machine.

1. 1. $ 9,575

   
   
   

   2. $ 8,426

   
   
   

   3. $ 8,246

   
   
   

   4. $ 9,755

   
   
   

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1. View Hint View Answer Discuss in Forum

   If the marked price of the washing machine be $ y, then
   

   		x × 88	=	7660 × 110
   		100		100

   
   

   Correct Option: A

   If the marked price of the washing machine be $ y, then
   

   		x × 88	=	7660 × 110
   		100		100

   
   

   ⇒ y =	7660 × 110	= $ 9575
   	88

   
   

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207. A publisher printed 2000 copies of a book at a cost of $ 70,000. He distributes 400 copies free as specimen copies. He gave 30% discount on printed price and the printed price of each book is $ 75. What is his gain or loss percentage?

1. 1. 20% gain

   
   
   

   2. 20% loss

   
   
   

   3. 10% loss

   
   
   

   4. 10% gain

   
   
   

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1. View Hint View Answer Discuss in Forum

   S.P. of each book =	75 × 70	= $ 52.50
   	100

   
   Total S.P. = 1600 × 52.50 = $ 84000
   Gain = 84000 – 70000 = $ 14000
   

   ∴ Gain % =	14000	× 100 = 20%
   	70000

   
   

   Correct Option: A

   S.P. of each book =	75 × 70	= $ 52.50
   	100

   
   Total S.P. = 1600 × 52.50 = $ 84000
   Gain = 84000 – 70000 = $ 14000
   

   ∴ Gain % =	14000	× 100 = 20%
   	70000

   
   

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208. A cooker is sold at a gain of 16%. If it has been sold for $ 20 more, 20% would have been gained. The cost price of the cooker is
     

1. 1. $ 350

   
   
   

   2. $ 400

   
   
   

   3. $ 500

   
   
   

   4. $ 600

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the CP of the cooker be $ y.
   At 16% gain ,
   

   ∴ Initial SP =	116y
   	100

   
   

   Again, SP =			116y	+ 20
   			100

   
   

   ∴		116y	+ 20 =	120y
   		100		100

   
   ⇒ 116y + 2000 = 120y
   ⇒ 4y = 2000
   

   ⇒ y =	2000	= $ 500
   	4

   
   We can find required answer with the help of given formula :
   Here, a = 16%, R = 20, b = 20%
   

   Correct Option: C

   Let the CP of the cooker be $ y.
   At 16% gain ,
   

   ∴ Initial SP =	116y
   	100

   
   

   Again, SP =			116y	+ 20
   			100

   
   

   ∴		116y	+ 20 =	120y
   		100		100

   
   ⇒ 116y + 2000 = 120y
   ⇒ 4y = 2000
   

   ⇒ y =	2000	= $ 500
   	4

   
   We can find required answer with the help of given formula :
   Here, a = 16%, R = 20, b = 20%
   

   C.P. =	R × 100
   	b - a

   
   

   C.P. =	20 × 100	= $ 500
   	20 - 16

   
   

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209. To gain 8% after allowing a discount of 10%, by what per cent cost price should be hiked in the list price?

1. 1. 9%

   
   
   

   2. 11%

   
   
   

   3. 18%

   
   
   

   4. 20%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the cost price be $ 100 and marked price be $ y
   

   Then,	y × 90	= 108
   	100

   
   

   ⇒	9y	= 108
   	10

   
   

   Correct Option: D

   Let the cost price be $ 100 and marked price be $ y
   

   Then,	y × 90	= 108
   	100

   
   

   ⇒	9y	= 108
   	10

   
   

   ⇒ y =	108 × 10	= 120
   	9

   
   ∴ Required percentage = 20%

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210. A shopkeeper sold sarees at $ 266 each after giving 5% discount on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?

1. 1. $ 280

   
   
   

   2. $ 260

   
   
   

   3. $ 240

   
   
   

   4. $ 250

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C.P. of each sari = $ y
   

   Marked price =			112y
   			100

   
   

   ∴		95	×	112y	= 266
   		100		100

   
   

   Correct Option: D

   Let C.P. of each sari = $ y
   

   Marked price =			112y
   			100

   
   

   ∴		95	×	112y	= 266
   		100		100

   
   

   ⇒ y =	266 × 100 × 100	= $ 250
   	95 × 112

   
   

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