146. If A’s salary is 50% more than B’s then by what per cent B’s salary is less than A’s salary ?

1. 1. 50 %

   
   
   

   2. 25%

   
   
   

   3. 23%

   
   
   

   4. 33.3%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the salary of B = ₹ 100.
   Then, salary of A
   

   = 100 +	50	× 100 = ₹. 150
   	100

   
   ∴ B’s salary is ₹ 50 less than A’s salary.
   ∴ Percentage of B’s income less
   

   than A =	50	× 100
   	150

   
   

   =	100	= 33	1	%
   	3		3

   
   Hence, B’s salary is less than A’s salary by 33.3%.

   Correct Option: D

   Let the salary of B = ₹ 100.
   Then, salary of A
   

   = 100 +	50	× 100 = ₹. 150
   	100

   
   ∴ B’s salary is ₹ 50 less than A’s salary.
   ∴ Percentage of B’s income less
   

   than A =	50	× 100
   	150

   
   

   =	100	= 33	1	%
   	3		3

   
   Hence, B’s salary is less than A’s salary by 33.3%.

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147. Quicklime contains 28.6% of oxygen by weight. Determine the weight of oxygen in 750 gm quicklime.

1. 1. 214.5 gm

   
   
   

   2. 224.5 gm

   
   
   

   3. 234.5 gm

   
   
   

   4. 235.5 gm

   
   
   

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1. View Hint View Answer Discuss in Forum

   100 gm quicklime contains oxygen = 28.6 gm.
   ∴ 1 gm quicklime contains oxygen
   

   =	28.6
   	100

   
   Hence, 750 gm quicklime contains oxygen
   

   =	28.6	× 750 = 214.5 gm
   	100

   
   Hence, weight of oxygen in 750 gm quicklime is 214.5 gm

   Correct Option: A

   100 gm quicklime contains oxygen = 28.6 gm.
   ∴ 1 gm quicklime contains oxygen
   

   =	28.6
   	100

   
   Hence, 750 gm quicklime contains oxygen
   

   =	28.6	× 750 = 214.5 gm
   	100

   
   Hence, weight of oxygen in 750 gm quicklime is 214.5 gm

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148. Price of a commodity has increased by 60%. By what per cent must a consumer reduce the consumption of the commodity so as not to increase the expenditure ?

1. 1. 35.5 %

   
   
   

   2. 37.5 %

   
   
   

   3. 38.5 %

   
   
   

   4. 25%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the price of commodity be ₹ x per kg.
   Increase in price = 60%
   ∴ Increased price of 1 kg = ₹ 1.6x
   If ₹ 1.6x is price of 1 kg
   

   x is price of	x	=	10	kg
   	(1.6)x		16

   
   ∴ In order to keep the expenditure same, consumption should be reduced by
   

   1 –	10	=	16 - 10	=	6	kg
   	16		16		16

   
   Percentage reduction in consumption
   

   =	6	× 100 =	75	= 37.5%
   	16		2

   Correct Option: B

   Let the price of commodity be ₹ x per kg.
   Increase in price = 60%
   ∴ Increased price of 1 kg = ₹ 1.6x
   If ₹ 1.6x is price of 1 kg
   

   x is price of	x	=	10	kg
   	(1.6)x		16

   
   ∴ In order to keep the expenditure same, consumption should be reduced by
   

   1 –	10	=	16 - 10	=	6	kg
   	16		16		16

   
   Percentage reduction in consumption
   

   =	6	× 100 =	75	= 37.5%
   	16		2

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149. Sohan saves 14% of his salary while George saves 22%. If both get the same salary and George saves 1540, find the savings of Sohan.

1. 1. ₹ 950

   
   
   

   2. ₹ 960

   
   
   

   3. ₹ 980

   
   
   

   4. ₹ 990

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the total salary of each of them = ₹ x
   

   Sohan saves = ₹.	14	x
   	100

   
   and George saves
   

   =	22	x = 1540
   	100

   
   ⇒ x = ₹ 7000
   

   ⇒ Sohan saves =	14	× 7000 = ₹ 980
   	100

   Correct Option: C

   Let the total salary of each of them = ₹ x
   

   Sohan saves = ₹.	14	x
   	100

   
   and George saves
   

   =	22	x = 1540
   	100

   
   ⇒ x = ₹ 7000
   

   ⇒ Sohan saves =	14	× 7000 = ₹ 980
   	100

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150. In a quarterly examination, a student secured 30% marks and failed by 12 marks. In the same examination, another student secured 40% marks and got 28 marks more than bare minimum marks to pass. Find the pass percentage.

1. 1. 24%

   
   
   

   2. 28%

   
   
   

   3. 25%

   
   
   

   4. 33%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the maximum marks be x
   

   A student scored =	30	x, and failed by 12 marks.
   	100

   
   

   ∴ Passing marks =	30	x + 12
   	100

   
   

   Another student scored =	40	x
   	100

   
   and got 28 marks more than passing marks.
   

   ∴ Passing marks =	40	x - 28
   	100

   
   

   ⇒	40	x + 12 =	40	x - 28
   	100		100

   
   

   ⇒	10	x = 40 ⇒ x = 400
   	100

   
   ∴ Maximum marks = 400
   Hence, Passing marks
   

   ⇒	30	× 400 + 12 = 132
   	100

   
   ∴ Pass percentage
   

   =	132	× 100 = 33%
   	400

   
   The pass percentage = 33%

   Correct Option: D

   Let the maximum marks be x
   

   A student scored =	30	x, and failed by 12 marks.
   	100

   
   

   ∴ Passing marks =	30	x + 12
   	100

   
   

   Another student scored =	40	x
   	100

   
   and got 28 marks more than passing marks.
   

   ∴ Passing marks =	40	x - 28
   	100

   
   

   ⇒	40	x + 12 =	40	x - 28
   	100		100

   
   

   ⇒	10	x = 40 ⇒ x = 400
   	100

   
   ∴ Maximum marks = 400
   Hence, Passing marks
   

   ⇒	30	× 400 + 12 = 132
   	100

   
   ∴ Pass percentage
   

   =	132	× 100 = 33%
   	400

   
   The pass percentage = 33%

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