If the average of a number, 75% of that number, and 50% of the same number is 420, then what is the number?

Question: If the average of a number, 75% of that number, and 50% of the same number is 420, then what is the number?Solution: Letthe number be xATQ,(x + 75% of x + 50% of x)/3 = 420⇒ (x + 3x/4 + x/2)/3 = 420⇒ {(4x + 3x + 2x)/4}/3 = 420⇒ 9x/12 = 420⇒ x = (420 × 12)/9⇒ x = 560∴ The number is 560