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 1

The correct option is C Rs. 60,000

Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 - x) respectively. Then,
$\frac{1}{3}x=\frac{1}{2}(150000-x)$
$\Rightarrow \frac{x}{3}+\frac{x}{2}=75000$
$\Rightarrow \frac{5x}{6}=75000$
$\Rightarrow x\frac{75000\times 6}{5}=90000$
$\therefore$Savings in Public Provident Fund
$\therefore =Rs.(150000-90000)=Rs.60000$