Question 53

The difference between a number and one-third of that number is 228. What is 20% of that number?

Solution

Let the number = $$a$$

Given,

The difference between a number and one-third of that number = 228

$$=$$> $$a-\frac{a}{3}=228$$

$$=$$> $$\frac{3a-a}{3}=228$$

$$=$$> $$\frac{2a}{3}=228$$

$$=$$> $$a=342$$

$$\therefore\ $$20% of the number $$=\frac{20}{100}\times a=\frac{20}{100}\times342=68.4$$

Hence, the correct answer is Option B

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