Discussion :: Simplification

Onethird of Rahul's savings in National Savings Certificate is equal to onehalf 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 ?
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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