In a school fitness test, 72% of the students who took the test cleared it, and 182 students did not clear it. How many students took the test?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 650
The students who did not clear the test are the rest of the 100%, so their number gives the whole.
Did not clear \(=100\%-72\%=28\%\)
28% of the total \(=182\)
Total \(\displaystyle =\frac{182\times100}{28}=650\)
650 students took the test.
Why the other options are incorrect
Option (1) 520 — Incorrect. 28% of 520 is 145.6, not 182 (520 would need 35% not clearing).
Option (3) 700 — Incorrect. 28% of 700 is 196, not 182.
Option (4) 728 — Incorrect. 28% of 728 is about 204; 728 would need 25% not clearing.