121. A manufacturer fixes his selling price at 33% over the cost of production. If cost of production goes up by 12% and manufacturer raises his selling price by 10%, his percentage profit is

1. 1. 28	3	%
      	8

   
   
   

   2. 30	5	%
      	8

   
   
   

   3. 36	5	%
      	9

   
   
   

   4. 35%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Cost of production of article = Rs. 100
   ∴ S.P. = Rs. 133
   New cost of production = Rs. 112
   

   ∴ S.P. =	133 × 110	= Rs. 146.30
   	100

   
   Profit = S.P. - New C.P. = 146.3 - 112 = $ 34.3
   

   ∴ Profit percent =			Profit			× 100
   			New cost of production

   
   

   Correct Option: B

   Let Cost of production of article = Rs. 100
   ∴ S.P. = Rs. 133
   New cost of production = Rs. 112
   

   ∴ S.P. =	133 × 110	= Rs. 146.30
   	100

   
   Profit = S.P. - New C.P. = 146.3 - 112 = $ 34.3
   

   ∴ Profit percent =			Profit			× 100
   			New cost of production

   
   

   Profit percent =		34.3 × 100	=	3430
   		112		112

   
   

   Profit percent =		245	= 30	5	%
   		8		8

   
   

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122. If a man reduces the selling price of a fan from Rs. 1,250 to Rs. 1,000, his loss increases by 20%. The cost price of the fan is

1. 1. Rs. 2,400

   
   
   

   2. Rs. 2,450

   
   
   

   3. Rs. 2,500

   
   
   

   4. Rs. 2,350

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the cost price of fan be Rs. y,
   According to the question,
   10% of y = 1250 – 1000
   

   ⇒	y × 100	= 250
   	100

   
   

   Correct Option: C

   Let the cost price of fan be Rs. y,
   According to the question,
   10% of y = 1250 – 1000
   

   ⇒	y × 100	= 250
   	100

   
   

   ⇒ y =	250 × 100	= Rs. 2500
   	10

   
   Note : Here, increase in loss should be 10%.

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123. A tradesman marks his goods at 25 p.c. above the cost price. If he reduces the marked price by (25 / 2) p.c., then his profit will be

1. 1. 9	3	p.c.
      	8

   
   
   

   2. 7	3	p.c.
      	5

   
   
   

   3. 6	3	p.c.
      	8

   
   
   

   4. 5	1	p.c.
      	3

      
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know that ,
   

   Required profit percent =		a + b +	ab			%
   			100

   
   Here, a = 25%
   

   b = -	25	%
   	2

   
   

   Required profit percent =		25 -	25	-	25 × 25			%
   			2		200

   
   

   Required profit percent =			25	-	25			%
   			2		8

   
   

   Correct Option: A

   As we know that ,
   

   Required profit percent =		a + b +	ab			%
   			100

   
   Here, a = 25%
   

   b = -	25	%
   	2

   
   

   Required profit percent =		25 -	25	-	25 × 25			%
   			2		200

   
   

   Required profit percent =			25	-	25			%
   			2		8

   
   

   Required profit percent =			100 - 25			%
   			8

   
   

   Required profit percent =		75	% = 9	3	%
   		8		8

   
   

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124. The reduction of $ 12 in the selling price of an article will change 5% gain into (2 ¹ / ₂ )% loss. The cost price of the article is

1. 1. $ 140

   
   
   

   2. $ 160

   
   
   

   3. $ 80

   
   
   

   4. $ 100

   
   
   

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1. View Hint View Answer Discuss in Forum

   If the C.P. of article be $ y,
   then
   According to question ,
   

   y ×		105 -	195			% = 12
   			2

   
   

   Correct Option: B

   If the C.P. of article be $ y,
   then
   According to question ,
   

   y ×		105 -	195			% = 12
   			2

   
   

   ⇒ y ×		15	= 12 ⇒ y =	12 × 200	= $ 160
   		200		15

   
   

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125. An increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for $ 40. The price of 15 mangoes before increase was

1. 1. $ 10

   
   
   

   2. $ 15

   
   
   

   3. $ 20

   
   
   

   4. $ 25

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the original price of 1 mango be y.
   

   New rate = 120% of y =	6y
   	5

   
   

   Number of mangoes bought in $ 40 =	40
   	y

   
   

   New quantity =		40 × 5	=	100
   		6y		3y

   
   

   ∴		40	-	100	= 4
   		y		3y

   
   

   Correct Option: D

   Let the original price of 1 mango be y.
   

   New rate = 120% of y =	6y
   	5

   
   

   Number of mangoes bought in $ 40 =	40
   	y

   
   

   New quantity =		40 × 5	=	100
   		6y		3y

   
   

   ∴		40	-	100	= 4
   		y		3y

   
   

   ⇒		120 - 100	= 4 ⇒	20	= 4
   		3y		3y

   
   

   ⇒ 3y = 5 ⇒ y = $	5
   	3

   
   

   ∴ Price of 15 mangoes before increase =	5	× 15 = $ 25
   	3

   
   

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