Explanation


Explanatory Answer

Let initially A, B & C had A, B and C rupees, respectively.  

A + B = C               … (1)  

A + C = 2B             … (2) 

By solving equation (1) and (2) we get  

A: B = 1: 2, B:C = 2:3  

A: B: C = 1: 2: 3 

At the end of the game If they have a, b and c rupees respectively then:  

a + b = 2c         … (3)  

a + c = 3b         …  (4) 

By solving equation (3), (4) we get  

a: b = 5: 3, b: c = 3: 4  

a: b: c = 5: 3: 4 

b = 1500.

So, a = 2500 and c = 2000.

So, a + b + c = 6000. 

Since the total amount of money at the start and at the end is equal, we can say that:

A + B + C = 6000. 

With a ratio of 1:2:3, the respective values of A, B and C would be A = 1000, B = 2000, C = 3000.

Percentage change in money of A = 150% (since the value for A has gone from 1000 to 2500).

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