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)  

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

days


Answer:_______________




2)  

 Kumar complete a work in 16 days, where as a Mithra can complete it in only48 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




3)  

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

days


Answer:_______________




4)  

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

days


Answer:_______________




5)  

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

days


Answer:_______________




6)  

 Kalai 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:_______________




7)  

 Karna complete a work in 20 days, where as a Kumutha 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 16 days, where as a Ovini can complete it in only48 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




9)  

 Pugal complete a work in 16 days, where as a Swathi can complete it in only48 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




10)  

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

days


Answer:_______________




 

1)  

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

Answer: 21days


SOLUTION 1 :

Given :

Murugan can complete a work in 28days

work done by  Murugan in one day = 128

Mithra can complete it in 84days

work done by Mithra in one day = 184  

Work done by Murugan and Mithra 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)  

 Kumar complete a work in 16 days, where as a Mithra can complete it in only48 days. If they work together, in how many days, can the work be completed

Answer: 12days


SOLUTION 1 :

Given :

Kumar can complete a work in 16days

work done by  Kumar in one day = 116

Mithra can complete it in 48days

work done by Mithra in one day = 148  

Work done by Kumar and Mithra together in one day

= 116 + 148

1x3
+
 
1
=
 
3
+
 
1 = 4
16x3 48 48 48 48

work done by both, in one day = 112

Number of days requrired to complete the work by both together

= 1/ 112 days = 12 days.



3)  

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

Answer: 3days


SOLUTION 1 :

Given :

Kumar can complete a work in 4days

work done by  Kumar in one day = 14

Tulasi can complete it in 12days

work done by Tulasi in one day = 112  

Work done by Kumar and Tulasi 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.



4)  

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

Answer: 18days


SOLUTION 1 :

Given :

Pugal can complete a work in 24days

work done by  Pugal in one day = 124

Pavi can complete it in 72days

work done by Pavi in one day = 172  

Work done by Pugal and Pavi 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.



5)  

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

Answer: 15days


SOLUTION 1 :

Given :

Selvan can complete a work in 20days

work done by  Selvan in one day = 120

Ovini can complete it in 60days

work done by Ovini in one day = 160  

Work done by Selvan and Ovini 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)  

 Kalai 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 :

Kalai can complete a work in 12days

work done by  Kalai in one day = 112

Tamilselvi can complete it in 36days

work done by Tamilselvi in one day = 136  

Work done by Kalai 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.



7)  

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

Answer: 15days


SOLUTION 1 :

Given :

Karna can complete a work in 20days

work done by  Karna in one day = 120

Kumutha can complete it in 60days

work done by Kumutha in one day = 160  

Work done by Karna and Kumutha 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 16 days, where as a Ovini can complete it in only48 days. If they work together, in how many days, can the work be completed

Answer: 12days


SOLUTION 1 :

Given :

Aravindh can complete a work in 16days

work done by  Aravindh in one day = 116

Ovini can complete it in 48days

work done by Ovini in one day = 148  

Work done by Aravindh and Ovini together in one day

= 116 + 148

1x3
+
 
1
=
 
3
+
 
1 = 4
16x3 48 48 48 48

work done by both, in one day = 112

Number of days requrired to complete the work by both together

= 1/ 112 days = 12 days.



9)  

 Pugal complete a work in 16 days, where as a Swathi can complete it in only48 days. If they work together, in how many days, can the work be completed

Answer: 12days


SOLUTION 1 :

Given :

Pugal can complete a work in 16days

work done by  Pugal in one day = 116

Swathi can complete it in 48days

work done by Swathi in one day = 148  

Work done by Pugal and Swathi together in one day

= 116 + 148

1x3
+
 
1
=
 
3
+
 
1 = 4
16x3 48 48 48 48

work done by both, in one day = 112

Number of days requrired to complete the work by both together

= 1/ 112 days = 12 days.



10)  

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

Answer: 21days


SOLUTION 1 :

Given :

Pugal can complete a work in 28days

work done by  Pugal in one day = 128

Panimalar can complete it in 84days

work done by Panimalar in one day = 184  

Work done by Pugal and Panimalar 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.