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)  

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

days


Answer:_______________




2)  

 Pugal 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:_______________




3)  

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

days


Answer:_______________




4)  

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

days


Answer:_______________




5)  

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

days


Answer:_______________




6)  

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

days


Answer:_______________




7)  

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

days


Answer:_______________




8)  

 Anand complete a work in 24 days, where as a Selvanayaki 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 12 days, where as a Mithra can complete it in only36 days. If they work together, in how many days, can the work be completed

days


Answer:_______________




10)  

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

days


Answer:_______________




 

1)  

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

Answer: 12days


SOLUTION 1 :

Given :

Narayanan can complete a work in 16days

work done by  Narayanan in one day = 116

Thamarai can complete it in 48days

work done by Thamarai in one day = 148  

Work done by Narayanan and Thamarai 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.



2)  

 Pugal 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 :

Pugal can complete a work in 12days

work done by  Pugal in one day = 112

Kumutha can complete it in 36days

work done by Kumutha in one day = 136  

Work done by Pugal 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.



3)  

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

Answer: 9days


SOLUTION 1 :

Given :

Anand can complete a work in 12days

work done by  Anand in one day = 112

Mithra can complete it in 36days

work done by Mithra in one day = 136  

Work done by Anand and Mithra 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.



4)  

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

Answer: 15days


SOLUTION 1 :

Given :

Kumar can complete a work in 20days

work done by  Kumar in one day = 120

Jeevini can complete it in 60days

work done by Jeevini in one day = 160  

Work done by Kumar and Jeevini 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)  

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

Answer: 21days


SOLUTION 1 :

Given :

Prem can complete a work in 28days

work done by  Prem in one day = 128

Parveen can complete it in 84days

work done by Parveen in one day = 184  

Work done by Prem and Parveen 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)  

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

Answer: 12days


SOLUTION 1 :

Given :

Narayanan can complete a work in 16days

work done by  Narayanan in one day = 116

Ponnalagu can complete it in 48days

work done by Ponnalagu in one day = 148  

Work done by Narayanan and Ponnalagu 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.



7)  

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

Answer: 9days


SOLUTION 1 :

Given :

Anand can complete a work in 12days

work done by  Anand in one day = 112

Haritha can complete it in 36days

work done by Haritha in one day = 136  

Work done by Anand and Haritha 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.



8)  

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

Answer: 18days


SOLUTION 1 :

Given :

Anand can complete a work in 24days

work done by  Anand in one day = 124

Selvanayaki can complete it in 72days

work done by Selvanayaki in one day = 172  

Work done by Anand and Selvanayaki 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 12 days, where as a Mithra can complete it in only36 days. If they work together, in how many days, can the work be completed

Answer: 9days


SOLUTION 1 :

Given :

Moorthi can complete a work in 12days

work done by  Moorthi in one day = 112

Mithra can complete it in 36days

work done by Mithra in one day = 136  

Work done by Moorthi and Mithra 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.



10)  

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

Answer: 12days


SOLUTION 1 :

Given :

Moorthi can complete a work in 16days

work done by  Moorthi in one day = 116

Chithra can complete it in 48days

work done by Chithra in one day = 148  

Work done by Moorthi and Chithra 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.