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Question

A number decreased by 23% becomes 539. Find the number.


Solution

Let the number be $$ x $$
Decreased means subtraction. If $$x$$ is decreases by $$23 \%$$, then the result is
$$=x-23 \% \text{ of } x$$
$$=x-\cfrac{23}{100} \times x$$
$$=\cfrac{100x - 23x}{100}$$
$$=\cfrac{77x}{100}$$

Given that, it is equal to $$539$$. So,
$$ \cfrac {77}{100} \times x = 539 $$
$$x=\cfrac{539 \times 100}{77}$$  
$$ => x = 700 $$

Mathematics

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