The sum of the four numbers A, B, C and D is 875. If the ratio of A to B is 1:2, the ratio of B to C is 3:1 and the ratio of C to D is 2:3, find the value of C.

We are given the following individual ratios:
A:B=1:2

B:C=3:1

C:D=2:3

First, let's combine the ratios for A, B, and C:
To equate B in both ratios, multiply A:B by 3 and B:C by 2:

A:B=3:6

B:C=6:2
So, A:B:C=3:6:2

Now, combine with C:D=2:3. Since the value of C is already 2 in both parts, we can directly merge them:

A:B:C:D=3:6:2:3
Let the numbers be 3x, 6x, 2x, and 3x. Their sum is:

3x+6x+2x+3x=875
14x=875
x=
14
875
​
=62.5
The value of C is 2x:

C=2×62.5=125