Question

If 66.67% of 80% of one third of a certain number is 280, then 20% of the number.
1. 200
2. 110
3. 315
4. 115

Answer 1

Correct Answer - Option 3 : 315

Given:

66.67% of 80% of one-third of a certain number = 280

Concept used:

66.67% = 2/3

80% = 4/5

Calculation:

Let the number be X

Then according to the question,

⇒ (2/3) × (4/5) × (1/3) × X = 280

⇒ 8X/45 = 280

⇒ X = 45 × 35

⇒ 1575

Now, 20% of 1575 = 1575 × (20/100) = 315

∴ 20% of the number is 315