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Discussion :: Simplification

  1. 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 ?

    2. A.

    Rs. 30,000
    B.

    Rs. 50,000
    C.

    Rs. 60,000
    D.

    Rs. 90,000

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    Answer : Option C

    Explanation :

    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)

    \(\frac {X} {3 } +\)\(\frac { X } { 2 } \)= 75000

          \( \frac { 5X} { 6 } \)= 75000

     x =\(\frac {75000 *6} { 5 }\)= 90000

     Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000

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