Question : If $(\frac{5}{9}\times x)-(\frac{2}{5}\times \frac{9}{4})=-\frac{4}{5}$, then find $x$.
Option 1: 0.18
Option 2: 0.12
Option 3: 2
Option 4: 0.54
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Correct Answer: 0.18
Solution :
Given: $(\frac{5}{9}\times x)-(\frac{2}{5}\times \frac{9}{4})=-\frac{4}{5}$
⇒ $\left ( \frac{5}{9} \times x \right ) - \frac{9}{10} = -\frac{4}{5}$
⇒ $\frac{5}{9}x = -\frac{4}{5} + \frac{9}{10}$
⇒ $\frac{5}{9}x = \frac{1}{10}$
⇒ $x=\frac{9}{50}$
⇒ $x$ = 0.18
Hence, the correct answer is 0.18.
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