A sum of ₹8,200 was divided among A, B and C in such a way that A has ₹500 more than B, and C has ₹300 more than A. How much was A’s share (in ₹)?

2,800

Total sum of money = 8200

A had Rs. 500 more than B and C had Rs. 300 more than A.

Let the money of B be 'x'

So, money of A = x + 500

Now, money of C = x + 500 + 300 = x + 800

ATQ,

x + x + 500 + x + 800 = 8200

= 3x + 1300 = 8200

= 3x = 6900

x = 2300

So, A's share = 2300 + 500 = Rs. 2800