48. 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,
(1/3)x= (1/2)(150000-x)
x/3+x/2=75000
5x/6=75000
x=75000*6/5= 90000
Therefore, Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000
