Question

There are four friends A,B,C and D. Initially all have some quantity of pure milk. If A gives 1/10th quantity of milk to B, then B gives 1/10th current quantity of milk to C, then C gives 1/10th of current quantity of milk to D, and at last then D gives his 1/10th of current quantity of milk to A, and now all have equal amount of milk. then find the % change of quantity of milk A w.r.t A was initially.

Answer 1

At the beginning each had 1 amount of milk.

A => 1/10 to B and thus remains with :

1 - 1/10 = 9/10

B = The amount B currently has is :

1 + 1/10 = 11/10

He gives 1/10 of this to C

1/10 × 11/10 = 11/100

C=> The current amount of C is :

1 + 11/100 = 111/100

He gives 1/10 of this to D

1/10 × 111/100 = 111/1000

D => Current amount :

111/1000 + 1 = 1111/1000

He gives 1/10 of this to A

1/10 × 1111/1000 = 1111/10000

A => Change in A

9/10 + 1111/10000 = 10111/10000

Change in A :

10111/10000 - 1 = 111/10000

111/10000 × 100 = 1.11%