Of 132 candidates of a certain exam, the ratio of successful to unsuccessful candidates is 8 : 3. If 6 more students passed, what would be the new ratio of successful to unsuccessful students?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 17 : 5
The ratio 8 : 3 splits the 132 candidates into \(8+3=11\) equal parts. When 6 more pass, the same 6 come out of the unsuccessful group, because the total stays 132.
One part \(=132\div11=12\)
Successful \(=8\times12=96\), unsuccessful \(=3\times12=36\)
After 6 more pass: successful \(=96+6=102\), unsuccessful \(=36-6=30\)
New ratio \(=102:30=17:5\) (dividing both by 6)