60% of a number is 120 more than 20% of the number. By how much is 28% of the number less than \(33\frac{1}{3}\%\) of the number?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 16
The gap between two percentages of the same number is itself a percentage of that number. The first fact gives the number, and \(33\frac{1}{3}\%\) is one-third.
\(60\%-20\%=40\%\) of the number \(=120\)
Number \(\displaystyle =\frac{120\times100}{40}=300\)
\(33\frac{1}{3}\%\) of 300 \(=100\); 28% of 300 \(=84\)
Difference \(=100-84=16\)
28% of the number is less by 16.