201. The daily wages of A and B respectively are Rs.3.50 and Rs. 2.50. When A finishes a certain work, he gets a total wage of Rs. 63. When B does the same work, he gets a total wage of Rs.75. If both of them do it together what is the cost of the work ?

1. 1. Rs. 67.50

   
   
   

   2. Rs. 27.50

   
   
   

   3. Rs. 60.50

   
   
   

   4. Rs. 70.50

   
   
   

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1. View Hint View Answer Discuss in Forum

   Time taken by A =	63	= 18 days
   	3.50

   
   

   Time taken by B =	75	= 30 days
   	2.5

   
   (A + B)’s 1 day’s work
   

   =	1	+	1
   	18		30

   
   

   =	5 + 3	=	4
   	90		45

   
   

   ∴ Required time =	45	days
   	4

   
   ∴ Total wages
   

   = Rs	45	× (3.50 + 2.50)
   	4

   
   

   = Rs.		45	× 6		= Rs. 67.5
   		4

   Correct Option: A

   Time taken by A =	63	= 18 days
   	3.50

   
   

   Time taken by B =	75	= 30 days
   	2.5

   
   (A + B)’s 1 day’s work
   

   =	1	+	1
   	18		30

   
   

   =	5 + 3	=	4
   	90		45

   
   

   ∴ Required time =	45	days
   	4

   
   ∴ Total wages
   

   = Rs	45	× (3.50 + 2.50)
   	4

   
   

   = Rs.		45	× 6		= Rs. 67.5
   		4

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202. A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

1. 1. Rs. 200

   
   
   

   2. Rs. 240

   
   
   

   3. Rs. 250

   
   
   

   4. Rs. 300

   
   
   

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1. View Hint View Answer Discuss in Forum

   Ratio of A’s and B’s 1 day’s work
   

   =	1	:	1	15 : 12 = 5 : 4
   	12		15

   
   Sum of the terms of ratio = 5 + 4 = 9
   

   ∴ A’s share = Rs.		5	× 450		= Rs. 250
   		9

   Correct Option: C

   Ratio of A’s and B’s 1 day’s work
   

   =	1	:	1	15 : 12 = 5 : 4
   	12		15

   
   Sum of the terms of ratio = 5 + 4 = 9
   

   ∴ A’s share = Rs.		5	× 450		= Rs. 250
   		9

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203. A, B and C can work together for Rs. 550. A and B together are to do 7/11 of the work. The share of C should be

1. 1. Rs. 200

   
   
   

   2. Rs. 300

   
   
   

   3. Rs. 400

   
   
   

   4. Rs. 450

   
   
   

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1. View Hint View Answer Discuss in Forum

   Part of work done by C
   

   = 1 -	7	=	4
   	11		11

   
   Total amount received = Rs. 550
   

   ∴ C’s share = Rs.		4	× 550		= Rs. 200
   		11

   Correct Option: A

   Part of work done by C
   

   = 1 -	7	=	4
   	11		11

   
   Total amount received = Rs. 550
   

   ∴ C’s share = Rs.		4	× 550		= Rs. 200
   		11

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204. A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is :

1. 1. Rs. 50

   
   
   

   2. Rs. 100

   
   
   

   3. Rs. 150

   
   
   

   4. Rs. 200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C alone complete the work in x days.
   According to the question,
   

   =	1	+	1	+	1	=	1
   	5		15		x		3

   
   

   ⇒	1	=	1	-	1	-	1
   	x		3		5		15

   
   

   =	5 - 3 - 1	=	1
   	15		15

   
   ∴ x = 15 days = Time taken by C alone.
   Ratio of the 1 day’s work of A, B
   

   and C =	1	:	1	:	1	= 3 : 1 : 1
   	5		15		15

   
   Sum of the terms of ratio
   = 3 + 1 + 1 = 5
   

   ∴ C’s share = Rs.		1	× 250		= Rs. 50
   		5

   Correct Option: A

   Let C alone complete the work in x days.
   According to the question,
   

   =	1	+	1	+	1	=	1
   	5		15		x		3

   
   

   ⇒	1	=	1	-	1	-	1
   	x		3		5		15

   
   

   =	5 - 3 - 1	=	1
   	15		15

   
   ∴ x = 15 days = Time taken by C alone.
   Ratio of the 1 day’s work of A, B
   

   and C =	1	:	1	:	1	= 3 : 1 : 1
   	5		15		15

   
   Sum of the terms of ratio
   = 3 + 1 + 1 = 5
   

   ∴ C’s share = Rs.		1	× 250		= Rs. 50
   		5

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205. A certain factory employed 600 men and 400 women and the average wage was 2.55 per day. If a women got 50 paise less than a man, the daily wages of a man and a woman were

1. 1. Man 2.75, Woman 2.25

   
   
   

   2. Man 5.30, Woman 2.50

   
   
   

   3. Man 2.50, Woman 2.00

   
   
   

   4. Man 3.25, Woman 2.75

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let daily wages of a man be Rs. x.
   ∴ Daily wages of a woman
   

   = Rs.		x -	1
   			2

   
   According to the question,
   

   600x + 400		x -	1
   			2

   
   = 1000 × 2.55
   ⇒ 600x + 400x – 200 = 2550
   ⇒ 1000x = 2550 + 200 = 2750
   

   ⇒ x =	2750	= Rs. 2.75
   	1000

   
   ∴ Daily wages of a woman
   = Rs. (2.75 – 0.5)
   = Rs. 2.25

   Correct Option: A

   Let daily wages of a man be Rs. x.
   ∴ Daily wages of a woman
   

   = Rs.		x -	1
   			2

   
   According to the question,
   

   600x + 400		x -	1
   			2

   
   = 1000 × 2.55
   ⇒ 600x + 400x – 200 = 2550
   ⇒ 1000x = 2550 + 200 = 2750
   

   ⇒ x =	2750	= Rs. 2.75
   	1000

   
   ∴ Daily wages of a woman
   = Rs. (2.75 – 0.5)
   = Rs. 2.25

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