Account operations

My PHP 90,000 savings in a bank earns 6% interest in a year. If I deposit an 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 answer:

x =  80700

Step-by-step explanation:

$$\begin{gathered} q_1=1+\frac{6}{100}=\frac{1\cdot 100}{100}+\frac{6}{100}=\frac{100}{100}+\frac{6}{100}=\frac{100+6}{100}=\frac{106}{100}=\frac{53}{50}=1\frac{3}{50}=1.06 \\ {q}_2=1+\frac{6/2}{100}=\frac{103}{100}=1\frac{3}{100}=1.03 \\ x=90000\cdot q_1+10000\cdot q_2-25000=90000\cdot \frac{53}{50}+10000\cdot \frac{103}{100}-25000=80700 \end{gathered}$$

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