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You are watching: Forty five is 30 of what number

Given:

Forty five percent of a given number is 30 less than three fifth of that number.

Calculation:

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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