A sum of ₹50 is divided among A, B, and C in such a way that A gets ₹5 less than B, and B gets ₹10 less than C. What is the ratio of their money share?

The correct option is 2:3:5.

To find the ratio of the money shared among A, B, and C, let us set up algebraic equations based on the information given in the question.

Let the share of C be represented by $C$.

According to the problem, B gets ₹10 less than C. Therefore, we can write B's share as:
$B=C-10$

Similarly, A gets ₹5 less than B. We can write A's share in terms of B's share, and then substitute the expression for B:
$A=B-5$
Substitute $B=C-10$ into the equation:
$A=(C-10)-5=C-15$

The total sum of money divided among A, B, and C is ₹50. This gives us the equation:
$A+B+C=50$

Substitute the expressions for A and B (in terms of C) into this equation:
$(C-15)+(C-10)+C=50$

Simplify and solve for C:
$3C-25=50$
$3C=50+25$
$3C=75$
$C=25$

Now, we can find the individual shares of A, B, and C:
C's share = ₹25
B's share = $25-10=15$ (₹15)
A's share = $15-5=10$ (₹10)

Finally, we find the ratio of their money shares (A : B : C):
$A:B:C=10:15:25$

We simplify the ratio by dividing each number by their greatest common divisor, which is 5:
$A:B:C=2:3:5$

Thus, the ratio of their money share is 2:3:5.