₹5,398 is divided among X, Y, and Z in

Step 1: Let the original shares be
Let X = $x$, Y = $y$, Z = $z$.

After deductions:

• X’s remaining = $x - 16$

• Y’s remaining = $y - 15$

• Z’s remaining = $z - 75$

Given ratio:
$ x - 16 : y - 15 : z - 75 = 2 : 21 : 4 $

So we can write:
$ x - 16 = 2k, \quad y - 15 = 21k, \quad z - 75 = 4k $

where $k$ is a common factor.

Step 2: Express original shares in terms of $k$

$ x = 2k + 16, \quad y = 21k + 15, \quad z = 4k + 75 $

Step 3: Use total sum of shares

$ x + y + z = 5398 $

Substitute the expressions:

$ (2k + 16) + (21k + 15) + (4k + 75) = 5398 $
$ 27k + 106 = 5398 $
$ 27k = 5398 - 106 = 5292 $
$ k = \frac{5292}{27} = 196 $

Step 4: Find original shares

$ x = 2k + 16 = 2(196) + 16 = 408 $
$ y = 21k + 15 = 21(196) + 15 = 4131 $
$ z = 4k + 75 = 4(196) + 75 = 859 $

Step 5: Find difference between Y and Z

 y - z = 4131 - 859 = 3272

The difference between Y’s and Z’s original shares is ₹3,272.