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)  

 Kalai 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)  

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

days


Answer:_______________




3)  

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

days


Answer:_______________




4)  

 Karna 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:_______________




5)  

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

days


Answer:_______________




6)  

 Balaji complete a work in 12 days, where as a Kumutha 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 Indra can complete it in only60 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




8)  

 Anand 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:_______________




9)  

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

days


Answer:_______________




10)  

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

days


Answer:_______________




 

1)  

 Kalai 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 :

Kalai can complete a work in 28days

work done by  Kalai in one day = 128

Mithra can complete it in 84days

work done by Mithra in one day = 184  

Work done by Kalai 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)  

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

Answer: 9days


SOLUTION 1 :

Given :

Aravindh can complete a work in 12days

work done by  Aravindh in one day = 112

Amutha can complete it in 36days

work done by Amutha in one day = 136  

Work done by Aravindh and Amutha 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)  

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

Answer: 21days


SOLUTION 1 :

Given :

Moorthi can complete a work in 28days

work done by  Moorthi in one day = 128

Chithra can complete it in 84days

work done by Chithra in one day = 184  

Work done by Moorthi and Chithra 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.



4)  

 Karna 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 :

Karna can complete a work in 28days

work done by  Karna in one day = 128

Panimalar can complete it in 84days

work done by Panimalar in one day = 184  

Work done by Karna 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.



5)  

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

Answer: 21days


SOLUTION 1 :

Given :

Selvan can complete a work in 28days

work done by  Selvan in one day = 128

Chithra can complete it in 84days

work done by Chithra in one day = 184  

Work done by Selvan and Chithra 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.



6)  

 Balaji complete a work in 12 days, where as a Kumutha 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

Kumutha can complete it in 36days

work done by Kumutha in one day = 136  

Work done by Balaji and Kumutha 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 Indra 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

Indra can complete it in 60days

work done by Indra in one day = 160  

Work done by Karna and Indra 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)  

 Anand 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 :

Anand can complete a work in 20days

work done by  Anand in one day = 120

Keerthi can complete it in 60days

work done by Keerthi in one day = 160  

Work done by Anand 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.



9)  

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

Answer: 12days


SOLUTION 1 :

Given :

Sriram can complete a work in 16days

work done by  Sriram in one day = 116

Nandini can complete it in 48days

work done by Nandini in one day = 148  

Work done by Sriram and Nandini 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)  

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

Answer: 9days


SOLUTION 1 :

Given :

Aravindh can complete a work in 12days

work done by  Aravindh in one day = 112

Kumutha can complete it in 36days

work done by Kumutha in one day = 136  

Work done by Aravindh and Kumutha 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.