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

A    Tk. 30,000

B    Tk. 50,000

C    Tk. 60,000

D    Tk. 90,000

Solution

Correct Answer: Option C

 

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

(1/3)x = 1/2(150000 - x)

=> x/3 + x/2 = 75000

=> 5x/6 = 75000

=>x=(75000 x 6)/5 = 90000

So, Savings in Public Provident Fund = Tk. (150000 - 90000)

= Tk. 60000

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