A candidate attempted 75% of the questions in an exam. He got 80% of the attempted ones correct, and 10% of the unattempted ones awarded marks due to grace. If the total number of questions is 200, how many did he get right?
125
Total questions \(= 200\). Questions attempted \(= 75\% \text{ of } 200 = \frac{75}{100}\times 200 = 150\).
Questions not attempted \(= 200 - 150 = 50\).
Correct out of the attempted ones \(= 80\% \text{ of } 150 = \frac{80}{100}\times 150 = 120\).
Marks awarded by grace on the unattempted ones \(= 10\% \text{ of } 50 = \frac{10}{100}\times 50 = 5\).
Total questions counted as right \(= 120 + 5 = 125\).
Hence, the candidate got 125 right.
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