Question

A has double the money of B and B has 50 % more money than C . If average money of all the three persons is Rs.12000,how much money does A have?

Answer 1

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Answer 2

Answer:

The total amount of money A have is 19636.36.

Step-by-step explanation:

It is given that A has double the money of B and B has 50 % more money than C .

$A=2B$

$\frac{A}{B}=\frac{2}{1}$             ...(1)

The ratio of money of A and B is 2:1. It can be written as 6:3.

$B=C+\frac{50}{100}C$

$B=C+\frac{1}{2}C$

$B=\frac{3}{2}C$

$\frac{B}{C}=\frac{3}{2}$

The ratio of money of B and C is 3:2.           ....(1)

The ratio of A, B and C is 6:3:2. Let the money of A,B and C be 6x, 3x and 2x respectively.

it is given that average money of all the three persons is Rs.12000.

$\frac{6x+3x+2x}{3}=12000$

$11x=36000$

$x=\frac{36000}{11}$

The money of A is

$6x=6\times \frac{36000}{11}\approx 19636.36$

Therefore the total amount of money A have is 19636.36.