AFCAT Model Paper 1

Given:
Arun takes out 25% of the total chocolates
From reamaining, Rahul takes out 100 chocolates
From remaining, Ramesh takes out 50% of chocolates
At last number of chocolates in the box = 100
Calculation:
Let the number of chocolates initially present in the box be x.
Arun takes out 25% of the chocolates
⇒ Remaing chocolates = x - 25% of x
⇒ x−

x

4

=

3x

4

Now, Rahul takes out 100 chocolates
⇒ Remaining chocolates =(

3x

4

−100)
Now, Ramesh takes out 50% of the chocolates
⇒ Remaining chocolates =

( 3x 4 −100)

2

Now, According to the question
At last remaining chocolates = 100
⇒

( 3x 4 −100)

2

=100
⇒ (

3x

4

−100)=200
⇒

3x

4

=300
⇒ x = 400
∴ The number of chocolates present in the box initially is 400.