One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund?

Rs. 30,000
Rs. 50,000
Rs. 60,000
Rs. 90,000

Correct Answer: Rs. 60,000

Explanation:

Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 - x ) respectively. Then,

1	x =	1	(150000 - x)
3		2

⟹	x	+	x	= 75000
	3		2

⟹	5x	= 75000
	6

⟹ x =	75000 x 6	= 90000
	5

∴ Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000

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