546. By selling an article for $ 72, there is a loss of 10%. In order to gain 5%, its selling price should be :

1. 1. $ 87

   
   
   

   2. $ 85

   
   
   

   3. $ 80

   
   
   

   4. $ 84

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , Selling price of article ( S.P. )= $ 72
   Loss = 10% ,
   

   C.P. of article = S.P. ×	100
   	100 - Loss%

   
   

   C.P. of article = 72 ×	100
   	100 - 10

   
   

   C.P. of article =	72 × 100	= $ 80
   	90

   
   

   Correct Option: D

   Here , Selling price of article ( S.P. )= $ 72
   Loss = 10% ,
   

   C.P. of article = S.P. ×	100
   	100 - Loss%

   
   

   C.P. of article = 72 ×	100
   	100 - 10

   
   

   C.P. of article =	72 × 100	= $ 80
   	90

   
   

   ∴ S.P. of that article on 5% gain = 80 ×	105	= $ 84
   	100

   
   

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547. By selling an article for $ 480 a person lost 20%. For what should he sell it to make a profit of 20%?

1. 1. $ 800

   
   
   

   2. $ 760

   
   
   

   3. $ 720

   
   
   

   4. $ 680

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question,
   S.P. = $ 480
   Loss% = 20%
   

   ∴ C.P. = $	100	× 480 = $ 200
   	80

   
   On 20% profit ,
   

   Correct Option: C

   According to question,
   S.P. = $ 480
   Loss% = 20%
   

   ∴ C.P. = $	100	× 480 = $ 200
   	80

   
   On 20% profit ,
   

   ∴ Required price =	120	× 600 = $ 720
   	100

   
   

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548. By selling an article for $ 240, a man incurs a loss of 10%. At what price should he sell it, so that he makes a profit of 20 %?

1. 1. $ 264

   
   
   

   2. $ 288

   
   
   

   3. $ 300

   
   
   

   4. $ 320

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , Selling Price of an article = $ 240
   For 10% loss , 90% of C.P. = $ 240
   

   ∴ C.P. = $	240 × 100
   	90

   
   New S.P. = 120% of C.P.
   

   Correct Option: D

   Given that , Selling Price of an article = $ 240
   For 10% loss , 90% of C.P. = $ 240
   

   ∴ C.P. = $	240 × 100
   	90

   
   New S.P. = 120% of C.P.
   

   New S.P. = $ 240 ×		100	×	120	= $ 320
   		90		100

   
   

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549. A balance of a trader weighs 20% less than it should be. Still the trader mark-up his goods to get the overall profit of 35%. What is mark-up on the cost price?

1. 1. 7%

   
   
   

   2. 8%

   
   
   

   3. 9%

   
   
   

   4. 8.5%

   
   
   

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1. View Hint View Answer Discuss in Forum

   We know that ,
   

   Required percent =		a - b -	a × b			%
   			100

   
   Here , a = 35% , b = -20% ( loss )

   Correct Option: B

   We know that ,
   

   Required percent =		a - b -	a × b			%
   			100

   
   Here , a = 35% , b = -20% ( loss )
   

   Required percent =		35 - 20 -	35 × 20			% = 8%
   			100

   
   

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550. A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit %?

1. 1. 20%

   
   
   

   2. 21%

   
   
   

   3. 22%

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , a = b = 10%
   

   Gain percent =		a + b +	a × b			%
   			100

   
   

   Correct Option: B

   Given that , a = b = 10%
   

   Gain percent =		a + b +	a × b			%
   			100

   
   

   Gain percent =		10 + 10 +	10 × 10			% = 21%
   			100

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