If 75percent of a number is added to 75,the result is the number again.Find the number
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Let, the number be 'X'
∴ 75% of X = X × 75 /100 = 3 X /4
By condition,
(3 X / 4) + 75 = X
⇒( 3 X + 300) / 4 = X
⇒ 3 X + 300 = X × 4
⇒ 3 X + 300 = 4 X
⇒ 300 = 4 X - 3 X
⇒ 300 = X
⇒ X = 300
∴ The number is 300
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