Discussion
Of the total amount that Harish spent in a shopping mall, excluding taxes, he spent 40% on clothing, 20% on grocery items and 40% on computer accessories. If he paid 10% on clothing, 5% on grocery items and 15% on computer accessories as taxes, then the total tax that he paid was what percent of the total amount that he spent, excluding taxes ?
Answer: B
The tax was 11% of the pre-tax spending.
Take the pre-tax spending as 100. The tax on each part is:
\[ \begin{aligned} 10\% \times 40 + 5\% \times 20 + 15\% \times 40 \\ = 4 + 1 + 6 = 11 \end{aligned} \]
So the total tax is 11% of the amount spent excluding taxes. Taking it as a share of the amount including tax gives about 9.9%, and simply averaging 10, 5 and 15 gives 10%.
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