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?

Correct result:

x =  80700

Solution:

$$\begin{gathered} q_1=1+{\displaystyle \frac{6}{100}}={\displaystyle \frac{53}{50}}=1.06 \\ {q}_2=1+{\displaystyle \frac{6\mathrm{/}2}{100}}={\displaystyle \frac{103}{100}}=1.03 \\ x=90000\cdot q_1+10000\cdot q_2-25000=90000\cdot 1.06+10000\cdot 1.03-25000=80700 \end{gathered}$$

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