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Question 2

$$20\%$$ of a number is equal to $$30\%$$ of another number. Six times the bigger of these numbers added to the smaller number is $$2000$$. Then $$10\%$$ of the smallest number is

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Let the smaller number be $$x$$ and the bigger number be $$y$$. From $$0.2y=0.3x$$, we get $$x=\frac{2y}{3}$$. Thus $$6x+y=2000$$ gives $$5y=2000$$, so $$y=400$$ and $$x=200$$. Therefore $$10\%$$ of the smaller number is $$20$$.

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