Naoki wrote nine tests, each out of 100 . His average on these nine tests is $68 \%$. If his lowest mark is omitted, what is his highest possible resulting average?
(A) $76.5 \%$
(B) $70 \%$
(C) $60.4 \%$
(D) $77 \%$
(E) $76 \%$
Naoki wrote nine tests, each out of 100 . His average on these nine tests is $68 \%$. If his lowest mark is omitted, what is his highest possible resulting average?
(A) $76.5 \%$
(B) $70 \%$
(C) $60.4 \%$
(D) $77 \%$
(E) $76 \%$

## Solution

If Naoki had an average of $68 \%$ on nine tests he would have earned a total of $9 \times 68$ or 612 marks. Assuming that his lowest test was a ' 0 ', this means that Naoki would still have a total of 612 marks only this time on 8 tests. This would mean that Naoki would have an average of $\frac{612}{8}$ or $76.5 \%$.

ANswer: (A)