Scroll:Life mathematics >> profit and loss >> ps (4315)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Aravindh complete a work in 28 days, where as a Nandini can complete it in only84 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




2)  

 Balaji complete a work in 12 days, where as a Tamilselvi can complete it in only36 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




3)  

 Anand complete a work in 20 days, where as a Nandini can complete it in only60 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




4)  

 Aravindh complete a work in 20 days, where as a Amutha can complete it in only60 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




5)  

 Barathan complete a work in 20 days, where as a Parveen can complete it in only60 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




6)  

 Balaji complete a work in 20 days, where as a Parveen can complete it in only60 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




7)  

 Narayanan complete a work in 20 days, where as a Keerthi can complete it in only60 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




8)  

 Aravindh complete a work in 24 days, where as a Savithri can complete it in only72 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




9)  

 Moorthi complete a work in 4 days, where as a Ovini can complete it in only12 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




10)  

 Moorthi complete a work in 4 days, where as a Swathi can complete it in only12 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




 

1)  

 Aravindh complete a work in 28 days, where as a Nandini can complete it in only84 days. If they work together, in how many days, can the work be completed

Answer: 21days


SOLUTION 1 :

Given :

Aravindh can complete a work in 28days

work done by  Aravindh in one day = 128

Nandini can complete it in 84days

work done by Nandini in one day = 184  

Work done by Aravindh and Nandini together in one day

= 128 + 184

1x3
+
 
1
=
 
3
+
 
1 = 4
28x3 84 84 84 84

work done by both, in one day = 121

Number of days requrired to complete the work by both together

= 1/ 121 days = 21 days.



2)  

 Balaji complete a work in 12 days, where as a Tamilselvi can complete it in only36 days. If they work together, in how many days, can the work be completed

Answer: 9days


SOLUTION 1 :

Given :

Balaji can complete a work in 12days

work done by  Balaji in one day = 112

Tamilselvi can complete it in 36days

work done by Tamilselvi in one day = 136  

Work done by Balaji and Tamilselvi together in one day

= 112 + 136

1x3
+
 
1
=
 
3
+
 
1 = 4
12x3 36 36 36 36

work done by both, in one day = 19

Number of days requrired to complete the work by both together

= 1/ 19 days = 9 days.



3)  

 Anand complete a work in 20 days, where as a Nandini can complete it in only60 days. If they work together, in how many days, can the work be completed

Answer: 15days


SOLUTION 1 :

Given :

Anand can complete a work in 20days

work done by  Anand in one day = 120

Nandini can complete it in 60days

work done by Nandini in one day = 160  

Work done by Anand and Nandini together in one day

= 120 + 160

1x3
+
 
1
=
 
3
+
 
1 = 4
20x3 60 60 60 60

work done by both, in one day = 115

Number of days requrired to complete the work by both together

= 1/ 115 days = 15 days.



4)  

 Aravindh complete a work in 20 days, where as a Amutha can complete it in only60 days. If they work together, in how many days, can the work be completed

Answer: 15days


SOLUTION 1 :

Given :

Aravindh can complete a work in 20days

work done by  Aravindh in one day = 120

Amutha can complete it in 60days

work done by Amutha in one day = 160  

Work done by Aravindh and Amutha together in one day

= 120 + 160

1x3
+
 
1
=
 
3
+
 
1 = 4
20x3 60 60 60 60

work done by both, in one day = 115

Number of days requrired to complete the work by both together

= 1/ 115 days = 15 days.



5)  

 Barathan complete a work in 20 days, where as a Parveen can complete it in only60 days. If they work together, in how many days, can the work be completed

Answer: 15days


SOLUTION 1 :

Given :

Barathan can complete a work in 20days

work done by  Barathan in one day = 120

Parveen can complete it in 60days

work done by Parveen in one day = 160  

Work done by Barathan and Parveen together in one day

= 120 + 160

1x3
+
 
1
=
 
3
+
 
1 = 4
20x3 60 60 60 60

work done by both, in one day = 115

Number of days requrired to complete the work by both together

= 1/ 115 days = 15 days.



6)  

 Balaji complete a work in 20 days, where as a Parveen can complete it in only60 days. If they work together, in how many days, can the work be completed

Answer: 15days


SOLUTION 1 :

Given :

Balaji can complete a work in 20days

work done by  Balaji in one day = 120

Parveen can complete it in 60days

work done by Parveen in one day = 160  

Work done by Balaji and Parveen together in one day

= 120 + 160

1x3
+
 
1
=
 
3
+
 
1 = 4
20x3 60 60 60 60

work done by both, in one day = 115

Number of days requrired to complete the work by both together

= 1/ 115 days = 15 days.



7)  

 Narayanan complete a work in 20 days, where as a Keerthi can complete it in only60 days. If they work together, in how many days, can the work be completed

Answer: 15days


SOLUTION 1 :

Given :

Narayanan can complete a work in 20days

work done by  Narayanan in one day = 120

Keerthi can complete it in 60days

work done by Keerthi in one day = 160  

Work done by Narayanan and Keerthi together in one day

= 120 + 160

1x3
+
 
1
=
 
3
+
 
1 = 4
20x3 60 60 60 60

work done by both, in one day = 115

Number of days requrired to complete the work by both together

= 1/ 115 days = 15 days.



8)  

 Aravindh complete a work in 24 days, where as a Savithri can complete it in only72 days. If they work together, in how many days, can the work be completed

Answer: 18days


SOLUTION 1 :

Given :

Aravindh can complete a work in 24days

work done by  Aravindh in one day = 124

Savithri can complete it in 72days

work done by Savithri in one day = 172  

Work done by Aravindh and Savithri together in one day

= 124 + 172

1x3
+
 
1
=
 
3
+
 
1 = 4
24x3 72 72 72 72

work done by both, in one day = 118

Number of days requrired to complete the work by both together

= 1/ 118 days = 18 days.



9)  

 Moorthi complete a work in 4 days, where as a Ovini can complete it in only12 days. If they work together, in how many days, can the work be completed

Answer: 3days


SOLUTION 1 :

Given :

Moorthi can complete a work in 4days

work done by  Moorthi in one day = 14

Ovini can complete it in 12days

work done by Ovini in one day = 112  

Work done by Moorthi and Ovini together in one day

= 14 + 112

1x3
+
 
1
=
 
3
+
 
1 = 4
4x3 12 12 12 12

work done by both, in one day = 13

Number of days requrired to complete the work by both together

= 1/ 13 days = 3 days.



10)  

 Moorthi complete a work in 4 days, where as a Swathi can complete it in only12 days. If they work together, in how many days, can the work be completed

Answer: 3days


SOLUTION 1 :

Given :

Moorthi can complete a work in 4days

work done by  Moorthi in one day = 14

Swathi can complete it in 12days

work done by Swathi in one day = 112  

Work done by Moorthi and Swathi together in one day

= 14 + 112

1x3
+
 
1
=
 
3
+
 
1 = 4
4x3 12 12 12 12

work done by both, in one day = 13

Number of days requrired to complete the work by both together

= 1/ 13 days = 3 days.