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Simplification - General Aptitude

Q1:

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

ANS:C - Rs. 60,000

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