Simplification Q10

10.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 ?

     A.   Rs. 30,000

     B.   Rs. 50,000

     C.   Rs. 60,000

     D.   Rs. 90,000

Answer:

Option : C 

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