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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