AFCAT Model Paper 6

Given:
P can complete the work in 6 days
Q can complete the work in 12 days
They took a work for Rs. 3000
P left the work after working 3 days
Concept Used:
Work = Efficiency × Time
Wages ∝ Efficiency
Calculation:
P’s 1 day work =

1

6

Q’s 1 day work =

1

12

Now, they took a work for Rs. 3000
⇒ Ratio of their shares = Ratio of their work done =(

1

6

)∶(

1

12

)
⇒ 12 ∶ 6 = 2 ∶ 1
⇒ Q’s share =

1

3

×3000= Rs. 1000
But, P left after 3 days,
⇒ Work done by P in 3 days =3×

1

6

=

1

2

⇒ Work done by Q =1−

1

2

=

1

2

⇒ Ratio of their shares =(

1

2

)∶(

1

2

)=1∶1
⇒ Q’s share =

1

2

×3000= Rs. 1500
∴ Q will get = 1500 - 1000 = Rs. 500 more