A boy was asked to find \(3\frac{1}{2}\%\) of a sum of money. He read the question wrongly and found \(5\frac{1}{2}\%\) of it. His answer was Rs 220. What would have been the correct answer (in Rs)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 140
The wrong answer tells us the whole sum; the correct percentage is then taken of that sum.
\(5.5\%\) of the sum \(=220\), so the sum \(\displaystyle =\frac{220\times100}{5.5}=4000\)
\(3.5\%\) of 4000 \(\displaystyle =\frac{3.5}{100}\times4000=140\)
The correct answer is Rs 140.