Question : A sum of INR 8,200 was divided among A, B, and C in such a way that A has INR 500 more than B, and C has INR 300 more than A. How much was A's share (in INR)?
Option 1: 2,300
Option 2: 3,100
Option 3: 2,800
Option 4: 2,000
Correct Answer: 2,800
Solution :
Let the share of B be $x$.
A = INR 500 more than B, so A $=x + 500$
C = INR 300 more than A, so C $=x + 500 + 300 = x+ 800$
According to the question,
$x + (x + 500) + (x + 800) = 8200$
⇒ $3x + 1300 = 8200$
⇒ $3x = 6900$
⇒ $x = \frac{6900}{3} = 2300$
$\therefore$ Share of A $=x + 500 = 2300 + 500 = 2800$
Hence, the correct answer is 2800.
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