Ratio Distribution: Calculating Q's Share

This problem involves distributing money based on a given ratio and a specific condition relating two shares.

Defining Shares Using Ratio

The shares of P, Q, R, and S are in the ratio $5 : 2 : 4 : 3$. Let the common factor be $x$. Then the shares are:

• P's share: $5x$
• Q's share: $2x$
• R's share: $4x$
• S's share: $3x$

Determining the Common Factor 'x'

We are given that R gets ₹ 1000 more than S. This can be written as:

$R_{share} - S_{share} = 1000$

Substitute the expressions for the shares:

$4x - 3x = 1000$

Solving this equation gives:

$x = 1000$

Calculating Q's Share

The question asks for Q's share, which is $2x$.

Substitute the value of $x$:

$Q_{share} = 2 \times x = 2 \times 1000$

$Q_{share} = 2000$

Therefore, Q's share amounts to ₹ 2000.