296. 5 men , 6 women and 7 boys finished a work in 3 days and got the remuneration of Rs . 2137.50 for it. If the work of 1 man , 1 woman , and 1 boy in one day be in the proportion of

     1	:	1	:	1	, what sum did each man get on a day ?
     2		3		4

1. 1. Rs . 196

   
   
   

   2. Rs . 197

   
   
   

   3. Rs . 198

   
   
   

   4. Rs . 199

   
   
   

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1. View Hint View Answer Discuss in Forum

   Ratio of wages of 1 man , 1 woman and 1 boy
   

   =	1	:	1	:	1	= 6 : 4 : 3
   	2		3		4

   
   Each man’s wages
   

   =	6	"	2137.5	≠ Rs . 197
   	13		5

   Correct Option: B

   Ratio of wages of 1 man , 1 woman and 1 boy
   

   =	1	:	1	:	1	= 6 : 4 : 3
   	2		3		4

   
   Each man’s wages
   

   =	6	"	2137.5	≠ Rs . 197
   	13		5

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297. One morning after purchasing 6 litres of milk from a milk man , a householder found that the weight of this quantity of milk was 6 .144 kg . If one litre of the pure milk weighs 1 .032 kg and that of one litre of the pure water 1 kg . then how much water was added to milk ?

1. 1. 0 .5 kg

   
   
   

   2. 1 .2 kg

   
   
   

   3. 0 .0 5 kg

   
   
   

   4. 1 .5 kg

   
   
   

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1. View Hint View Answer Discuss in Forum

   Weight of 1 kg of impure milk ;	6. 144	= 1.024 kg
   	6

   
   Weight of water
   

   6 –	1.024	" 6
   	1.032

   
   = 6 – 5 .9 5
   = 0.05 kg

   Correct Option: C

   Weight of 1 kg of impure milk ;	6. 144	= 1.024 kg
   	6

   
   Weight of water
   

   6 –	1.024	" 6
   	1.032

   
   = 6 – 5 .9 5
   = 0.05 kg

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298. A , B a nd C go into a business as partners with the agreement that their shares of pro fit will be in the
     proportion of their capitals . If A ’s capital : B ’s capital = 2:3, and B ’s capital : C ’s capital = 2 : 5 , find their shares in a profit of Rs . 3250.

1. 1. Rs . 520, Rs . 7 80, Rs . 1 950

   
   
   

   2. Rs . 5 40, Rs . 7 60, Rs . 1 950

   
   
   

   3. Rs . 540, R s . 7 80, Rs . 1930

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   A : B = 2 : 3 = 4 : 6
   B :C = 2 : 5 = 6 : 1 5
   A : B : C = 4 : 6 : 1 5
   A + B + C = 4 + 6 + 15 = 25
   

   A’s share =	4	" 3250 = Rs . 520
   	25

   
   

   B’s share =	6	" 3250 = Rs . 780
   	25

   
   

   C’s share =	15	" 3250 = Rs . 1950
   	25

   Correct Option: A

   A : B = 2 : 3 = 4 : 6
   B :C = 2 : 5 = 6 : 1 5
   A : B : C = 4 : 6 : 1 5
   A + B + C = 4 + 6 + 15 = 25
   

   A’s share =	4	" 3250 = Rs . 520
   	25

   
   

   B’s share =	6	" 3250 = Rs . 780
   	25

   
   

   C’s share =	15	" 3250 = Rs . 1950
   	25

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299. Three vessels of equal volumes contain water and syrup in the ratio 4 : 1 , 5 : 2 and 7 : 3 respectively . When they are thoroughly mixed together in a large vessel, find the resulting ratio of water and syrup in the mixture . (Assume that in the mixture total volume remains unaltered ).

1. 1. 11 : 30

   
   
   

   2. 19 : 11

   
   
   

   3. 31 : 11

   
   
   

   4. 11 : 35

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the capacity of each vessel be x litres.
   ∴  Ratio

   =		4x	)	5x	)	7x		:		x	)	2x	)	3x
   		5		7		10				5		7		10

   
   

   =	56x ) 50x ) 49x	:	14x ) 20x ) 21x
   	70		70

   =	155x	:	55x
   	70		70

   
   = 31 : 11

   Correct Option: C

   Let the capacity of each vessel be x litres.
   ∴  Ratio

   =		4x	)	5x	)	7x		:		x	)	2x	)	3x
   		5		7		10				5		7		10

   
   

   =	56x ) 50x ) 49x	:	14x ) 20x ) 21x
   	70		70

   =	155x	:	55x
   	70		70

   
   = 31 : 11

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300. 3 litres of a mixture containing wine and water in the ratio 3 : 7 and 4 litres of another mixture containing wine and water in the ratio 3 : 5 are mixed together. What is the ratio of wine and water in the resulting mixture ?

1. 1. 11 : 23

   
   
   

   2. 12 : 23

   
   
   

   3. 13 : 24

   
   
   

   4. 12 : 27

   
   
   

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1. View Hint View Answer Discuss in Forum

   In 3 litres of mixture ,
   

   Wine =	3 " 3	;	9	litre
   	10		10

   
   

   Water =	7	" 3 ;	21	litre
   	10		10

   
   In 4 litres of mixture ,
   

   Wine =	3	" 4 ;	3	litres
   	8		2

   
   

   Water =	5	" 4 ;	5	litres
   	8		2

   
   In resulting mixture ,
   Wine : Water
   

   =		9	)	3		:		21	)	5
   		10		2				10		2

   
   = 24 : 46 = 12 : 23

   Correct Option: B

   In 3 litres of mixture ,
   

   Wine =	3 " 3	;	9	litre
   	10		10

   
   

   Water =	7	" 3 ;	21	litre
   	10		10

   
   In 4 litres of mixture ,
   

   Wine =	3	" 4 ;	3	litres
   	8		2

   
   

   Water =	5	" 4 ;	5	litres
   	8		2

   
   In resulting mixture ,
   Wine : Water
   

   =		9	)	3		:		21	)	5
   		10		2				10		2

   
   = 24 : 46 = 12 : 23

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