Mr. Dutta desired to deposit his retirement benefit of Rs.

Mr. Dutta desired to deposit his retirement benefit of Rs. 3 lacs partly to a post office and partly to a bank at 10% and 6% interests respectively. If his monthly interest income was Rs. 2000, then the difference of his deposits in the post office and in the bank was :

Let the amount deposited in Post Office be Rs. y lakhs.
∴ Amount deposited in bank = Rs. (3 – y) lakhs
According to the question,

y × 10 × 1	+	(3 – y) × 6 × 1
100 × 12	+	100 × 12

=	2000	=	1
	100000		50

⇒ 10y + 18 – 6y =	1	× 1200 = 24
	50

⇒ 4y = 24 – 18 = 6

⇒ y =	6	= Rs.	3	lakhs
	4		2

∴ Required difference = 0