486. A shop-keeper sold a sewing machine for $ 1,080 at a loss of 10%. At what price should he has to sold it so as to gain 10% on it ? (in $ )

1. 1. 1,069

   
   
   

   2. 1,200

   
   
   

   3. 1,230

   
   
   

   4. 1,320

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , Selling Price of sewing machine = $ 1080
   at a loss of 10% ,
   

   Cost price of sewing machine = 1080 ×	100	= $1200
   	90

   
   

   Correct Option: D

   Here , Selling Price of sewing machine = $ 1080
   at a loss of 10% ,
   

   Cost price of sewing machine = 1080 ×	100	= $1200
   	90

   
   

   ∴ S.P. for a profit of 10% =	1200 × 110	= $1320
   	100

   
   

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487. A fruit-seller buys some oranges and by selling 40% of them he realises the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is

1. 1. 80

   
   
   

   2. 84

   
   
   

   3. 94

   
   
   

   4. 96

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Number of oranges bought = 100
   And C.P. of oranges = $ 100
   S.P of 40 oranges = $ 100
   Gain on 40 Oranges = 100 - 40 = $ 60
   

   ∴ Gain percent =	60	× 100 = 150 %
   	40

   
   Remaining oranges = 60
   

   Their 80 % =	60 × 80	= 48
   	100

   
   

   Correct Option: B

   Let Number of oranges bought = 100
   And C.P. of oranges = $ 100
   S.P of 40 oranges = $ 100
   Gain on 40 Oranges = 100 - 40 = $ 60
   

   ∴ Gain percent =	60	× 100 = 150 %
   	40

   
   Remaining oranges = 60
   

   Their 80 % =	60 × 80	= 48
   	100

   
   These are sold at a profit of 75 % .
   

   ∴ Their S.P. =	48 × 175	= $ 84
   	100

   
   12 oranges was rotten so he threw away.
   ∴ Total SP = 100 + 84 = $ 184
   Gain = Total SP - CP = 184 - 100 = $ 84
   

   ∴ Gain percent =	84	× 100 = 84%
   	100

   
   

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488. An item costing $ 200 is being sold at 10% loss. If the price is further reduced by 5%, the selling price will be

1. 1. $ 170

   
   
   

   2. $ 171

   
   
   

   3. $ 175

   
   
   

   4. $ 179

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given , Cost Price = $ 200 ,
   For 10% loss ,
   

   First S.P. of article =	200 × 90	= $ 180
   	100

   
   After decrease of 5%,
   

   Correct Option: B

   Given , Cost Price = $ 200 ,
   For 10% loss ,
   

   First S.P. of article =	200 × 90	= $ 180
   	100

   
   After decrease of 5%,
   

   S.P. =	180 × 95	= $ 171
   	100

   
   

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489. By selling an article for $ 102, there is a loss of 15%, when the article is sold for $ 134.40, the net result in the transaction is

1. 1. 12% gain

   
   
   

   2. 12% loss

   
   
   

   3. 10% loss

   
   
   

   4. 15% gain

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given in question , Selling Price of article = $ 102 and Loss = 15%
   

   C.P. of article =	100	× S.P.
   	100 – loss percent

   
   

   C.P. of article =	100	× 102 = $ 120
   	100 – 15

   
   On selling at Rs. 134.40,
   Gain = $ (134.4 – 120) = $ 14.4
   

   Correct Option: A

   Given in question , Selling Price of article = $ 102 and Loss = 15%
   

   C.P. of article =	100	× S.P.
   	100 – loss percent

   
   

   C.P. of article =	100	× 102 = $ 120
   	100 – 15

   
   On selling at Rs. 134.40,
   Gain = $ (134.4 – 120) = $ 14.4
   

   ∴ Gain percent =	14.4	× 100 = 12%
   	120

   
   

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490. Two toys are sold at $ 504 each. One toy brings the dealer a gain of 12% and the other a loss of 4%. The gain or loss percent by selling both the toys is

1. 1. 3	5	% profit
      	3

      
      

   
   
   

   2. 4	5	% profit
      	13

   
   
   

   3. 5	1	% profit
      	13

   
   
   

   4. 2	3	% loss
      	13

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C.P. of first toy = $ p
   C.P. of second toy = $ q
   

   ∴	p × 112	= 504
   	100

   
   

   ⇒ p =	504 × 100	= $ 450
   	112

   
   

   Again, q ×	96	= 504
   	100

   
   

   ⇒ q =	504 × 100	= $ 525
   	96

   
   Total C.P. = $ (450 + 525) = $ 975
   Total S.P. = 2 × 504 = $ 1008
   Gain = Total S.P. - Total C.P. = 1008 – 975 = $ 33
   

   Correct Option: A

   Let C.P. of first toy = $ p
   C.P. of second toy = $ q
   

   ∴	p × 112	= 504
   	100

   
   

   ⇒ p =	504 × 100	= $ 450
   	112

   
   

   Again, q ×	96	= 504
   	100

   
   

   ⇒ q =	504 × 100	= $ 525
   	96

   
   Total C.P. = $ (450 + 525) = $ 975
   Total S.P. = 2 × 504 = $ 1008
   Gain = Total S.P. - Total C.P. = 1008 – 975 = $ 33
   

   ∴ Profit percent =	33 × 100
   	975

   
   

   Profit percent =		44	= 3	5	%
   		13		13

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