Average of percentage of 2 numbers.

Question

If I have 24081 items sold at 45% off. and 11386 items sold at 60% off.

What is the average percent off for all items sold?

Thanks for your help in advance!

Craig

(This is not homework :) )

Answer 1

This is the average of $45 \%$ and $60 \%$, weighted by the respective number of items.

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The total number of items is $$24081 + 11386 = 35467$$

The average percent is $$\frac{24081 \cdot 45\% + 11386 \cdot 60\%}{35467} \approx 49.82\%$$

Answer 2

It depends on the price of the items. The total percentage can be any number between 45% and 60%.

If the items all have the same price then you can just make the weighted mean of the two percentages.