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. 1,80,000 as total savings, how much has he saved in Public Provident Fund?  Select the correct option.
A) 81000  B) 85000  C) 75000  D) 72000  E) 77000
Let savings in National Savings Certificate = x   and savings in Public Provident Fund = (180000 - x)   1/3x=1/2(180000−x)   ⇒2x=3(180000−x)   ⇒2x=540000−3x   ⇒5x=540000   ⇒x=540000/5= 
<gadget id="calculator">540000/5</gadget>
<output>108_000</output>
108000   Savings in Public Provident Fund= (180000 - 108000)= 
<gadget id="calculator">(180000 - 108000)</gadget>
<output>72_000</output>
72000   Answer is 72000.
<result>D</result>
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. 1,80,000 as total savings, how much has he saved in Public Provident Fund?