Question : A sum of Rs. 8,200 was divided among A, B and C in such a way that A had Rs. 500 more than B and C had Rs. 300 more than A. How much was C's share (in Rs.)?
Option 1: 3,100
Option 2: 2,000
Option 3: 2,300
Option 4: 2,800
Correct Answer: 3,100
Solution :
Let the share of B as $x$.
Then, the share of A is $x + 500$ and the share of C is $x + 500 + 300 = x + 800$
The total sum of Rs. 8,200 is divided among A, B, and C.
$⇒x + (x + 500) + (x + 800) = 8200$
$⇒3x + 1300 = 8200$
$⇒3x = 6900$
$⇒x = 2300$
Therefore, the share of C = $x + 800 = 2300 + 800 = 3100$
Hence, the correct answer is 3,100.
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