86. By selling a bicycle for $ 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be

1. 1. $ 2,600

   
   
   

   2. $ 2,700

   
   
   

   3. $ 2,800

   
   
   

   4. $ 3,000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , S.P. of bicycle = $ 2,850
   Profit = 14%
   

   C.P. of bicycle =	100	× S.P. of bicycle
   	100 + Profit%

   
   

   C.P. of bicycle =	100	× 2850 = $ 2500
   	114

   
   

   Correct Option: B

   Given that , S.P. of bicycle = $ 2,850
   Profit = 14%
   

   C.P. of bicycle =	100	× S.P. of bicycle
   	100 + Profit%

   
   

   C.P. of bicycle =	100	× 2850 = $ 2500
   	114

   
   

   S.P. for a profit of 8% =	108	× 2500 = $ 2700
   	100

   
   

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87. A person sold a TV for $ 9,400 and he lost a particular amount. When he sold another TV of the same type at $ 10,600, his gain was double the former loss. What was the cost price of each TV ?
    

1. 1. $ 9,800

   
   
   

   2. $ 10,000

   
   
   

   3. $ 10,200

   
   
   

   4. $ 10,400

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let CP of each TV be y.
   According to the question,
   2(y – 9400) = 10600 – y
   ⇒ 2y – 18800 = 10600 – y
   ⇒ 3y = 10600 + 18800 = 29400
   

   ⇒ y =	29400
   	3

   
   

   Correct Option: A

   Let CP of each TV be y.
   According to the question,
   2(y – 9400) = 10600 – y
   ⇒ 2y – 18800 = 10600 – y
   ⇒ 3y = 10600 + 18800 = 29400
   

   ⇒ y =	29400	= $ 9800
   	3

   
   Therefore , the cost price of each TV is $ 9800 .

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88. A merchant finds his profit as 20% of the selling price. His actual profit percent is

1. 1. 20%

   
   
   

   2. 22%

   
   
   

   3. 25%

   
   
   

   4. 30%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the CP of the article be p and SP be q.
   According to the question
   

   q - p =	20q
   	100

   
   

   ⇒ q -	q	= p
   	5

   
   ⇒ 4q = 5p ...(i)
   

   Actual profit % =	q - p	× 100
   	p

   
   

   Correct Option: C

   Let the CP of the article be p and SP be q.
   According to the question
   

   q - p =	20q
   	100

   
   

   ⇒ q -	q	= p
   	5

   
   ⇒ 4q = 5p ...(i)
   

   Actual profit % =	q - p	× 100
   	p

   
   

   Actual profit % =		4q - 4p	× 100 =	5p - 4p	× 100 = 25%
   		4p		4p

   
   

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89. A man sold some articles at a gain of 10%. He spent his total sale proceeds to purchase such articles again. This time, while selling them, he incurred a loss of 10%. His loss or gain in the transaction was

1. 1. 1% loss

   
   
   

   2. 1% gain

   
   
   

   3. no profit no loss

   
   
   

   4. 2% loss

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know that ,
   

   Loss% =	y2
   	100

   
   Here , y = 10%
   

   Correct Option: A

   As we know that ,
   

   Loss% =	y2
   	100

   
   Here , y = 10%
   

   Loss% =	10 × 10	= 1%
   	100

   
   Hence , required loss % is 1% .

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90. If the selling price of an article is doubled, then its loss percent is converted into equal profit percent. The loss percent on the article is

1. 1. 26	2	%
      	3

   
   
   

   2. 33%

   
   
   

   3. 33	1	%
      	3

   
   
   

   4. 34%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the CP of the article be Rs. 100 and its SP be y
   From the question ,
   

   ∴	100 - y	× 100	=	2y - 100	× 100
   	100			100

   
   ⇒ 100 – y = 2y – 100
   

   ⇒ 3y = 200 ⇒ y =	200
   	3

   
   

   ∴ Loss% = 100 –	200
   	3

   
   

   Correct Option: C

   Let the CP of the article be Rs. 100 and its SP be y
   From the question ,
   

   ∴	100 - y	× 100	=	2y - 100	× 100
   	100			100

   
   ⇒ 100 – y = 2y – 100
   

   ⇒ 3y = 200 ⇒ y =	200
   	3

   
   

   ∴ Loss% = 100 –	200
   	3

   
   

   Loss% =		100	= 33	1	%
   		3		3

   
   [because CP of the article = $ 100]

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