If the average of a number, 50% of that number and 25% of the same number is 280, then the number is

Question

Question

This question was previously asked in

UPPSC Civil Service 2016 Official Paper 2

Answer 1

Given:

Average is 280.

Formula used:

Average = sum of the observation/number of the observation

Calculation:

Let the number be x

According to the question,

⇒ (x + 50% of x + 25% of x) / 3 = 280

⇒ (x + x/2 + x/4)/3 = 280

⇒ 7x/12 = 280

⇒ x = 480

∴ The number is 480.

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