Account operations

My savings of php 90,000 in a bank earns 6% interest in a year. If i will deposit additional php 10,000 at the end of 6 months, how much money will be left if i withdraw php 25,000 after a year?

Result

x =  80700

Solution:

$q_{1}=1 + \dfrac{ 6 }{ 100 }=\dfrac{ 53 }{ 50 }=1.06 \ \\ q_{2}=1 + \dfrac{ 6/2 }{ 100 }=\dfrac{ 103 }{ 100 }=1.03 \ \\ \ \\ x=90000 \cdot \ q_{1} + 10000 \cdot \ q_{2} - 25000=90000 \cdot \ 1.06 + 10000 \cdot \ 1.03 - 25000=80700$

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