Question

divide 126000 among by person ABCD so that a:b=2:3, b: c=4:5, c:d=6:7​

Answer 1

Step-by-step explanation:

Given,

A:B=2:3

A=2x,B=3x

B:C=4:5

B=4x,C=5x

Now in above two ratios in first B has 3x value and in second B has 4x value. Take LCM of 3x, 4x. You have 12x.

To make the value of B in first ratio to 12x . Multiply first ratio with 4x and in other ratio with 3x.

You have,

A:B=8x:12x and B:C=12x:15x

On combining these two,

A:B:C=8x:12x:15x

Now,

C:D=6:8

C=6x,D=8x

Now in above two ratios in first C has 15x value and in second C has 6x value. Take LCM of 15x, 6x. You have 30x.

To make the value of C in first ratio to 30x . Multiply first ratio with 2x and in other ratio with 5x.

A:B:C=16x:24x:30x

C:D=30x:40x

On combining these two,

A:B:C:D=16x:24x:30x:40x

If eliminate x.

We have A:B:C:D=16:24:30:40

You can also divide ratio by 2 because all terms have 2 in common.

Answer 2

Answer:

a=19200

b=28800

c=36200

d=42000

Step-by-step explanation:

see attached