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Question from ally, a student:

A wholesaler purchased a wheat for $\$150$ per tonne.He sold it at $\$170$ per tonne. Calculate the percentage profit to (1 decimal place)if the wholesaler offered a $12\%$ discount on the selling price. What could be the new selling price?

Hi Ally,

He purchased the wheat for $\$150$ per tonne and sold it for $\$170$ per tonne so his profit was $\$20$ per tonne. You want the profit expressed as a percentage but you didn't say a percentage of what. If the profit is seen as a percentage of his cost then it is

\[\frac{20}{150} \times 100.\]

If the profit is seen as a percentage of his selling price then its

\[\frac{20}{170} \times 100.\]

You should check your textbook for the definition of "percentage profit".

Then he had a $12\%$ discount on the selling price. What is $12\%$ of the selling price? Subtract that from the selling price. What is this new selling price?

Penny

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