You are watching: Forty five is 30 of what number
Forty five percent of a given number is 30 less than three fifth of that number.
Let the given number be x.
According to the question,
(3/5)x – (45% of x) = 30
⇒ (3/5)x – (45/100)x = 30
⇒ (3/5)x – (9/20)x = 30
⇒ L.C.M of denominator (5, 20) = 20
⇒ <(3 × 4)x – (9)x>/20 = 30
⇒ 3x = 600
⇒ x = 600/3 = 200
∴ The number is 200.
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