Find the value of \(\displaystyle\frac{14\%\text{ of }14+28\%\text{ of }28+92\%\text{ of }96-15\%\text{ of }85}{85.37}\).
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1
Each term of the numerator is a percentage of a number: a% of n is \(\frac{a\times n}{100}\). Working out the four terms shows that the numerator comes to 85.37, the same as the denominator.
First term: \(14\%\) of \(14=1.96\)
Second term: \(28\%\) of \(28=7.84\)
Third term: \(92\%\) of \(96=88.32\)
Term to subtract: \(15\%\) of \(85=12.75\)
Numerator: \(1.96+7.84+88.32-12.75=85.37\)
Value of the fraction: \(\displaystyle\frac{85.37}{85.37}=1\)