Question

The income of three persons is in the ratio 3:4:5. The sum of their cubes is 27000000.Find their income .

Answer 1

Step-by-step explanation:

Let ratio is in form of x.

3x, 4x, 5x

Sum of their cube = 27000000.

So, ATQ

$(3x)^{3} + (4x)^{3} + (5x)^{3} = 27000000\\27x^{3} + 64x^{3} + 125x^{3} = 27000000$

$216x^{3} = 300^{3}\\(6x)^{3} = 300^{3}$

Comparing both side we get,

6x = 300

x = 300/6

x = 50

Salary of

1st person = 3x

               = 3*50 = Rs 150

2st person = 4x

               = 4*50 = Rs 200

1st person = 5x

               = 5*50 = Rs 250

Hope you understand it well