If a certain amount is fully distributed among A, B and

If a certain amount is fully distributed among A, B and C in such a way that A receives 1/2 of the amount, B receives 1/3 of the amount and C receives Rs. 1200, then how much money would A receive ?

Let total amount be Rs. x.
According to the question,

x	+	x	+ 1200 = x
2		3

⇒ x –	x	–	x	= 1200
	2		3

⇒	6x – 3x – 2x	= 1200
	6

⇒	x	= 1200 ⇒ x = 1200 × 6
	6

= Rs. 7200

∴ A’s share = Rs.		7200		= Rs. 3600
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