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Question
A number decreased by 23 % becomes 539. Find the number.
Solution
Let the number = x
According to the statement,
x - 23% of x = 539
⇒ `x - (23)/(100) xx x` = 539
⇒ `x[1 - 23/100]` = 539
⇒ `x[(100 - 23)/(100)]` = 539
⇒ `x xx (77)/(100)` = 539
⇒ `x = 539 xx (100)/(77)`
⇒ x = `(539 xx 100)/(77)`
= 7 x 100
⇒ x = 700
∴ Required number = 700
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