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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 ?

Question:
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

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