Percentage profit: Calculate the percentage profit on a computer sold in the sale.

bumblebee123

Junior Member
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Jan 3, 2018
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200
Hello,

I wonder if someone can help?

The question is as follows:
When a computer is sold at its normal price, it makes 30% profit.
In a sale, normal prices are reduced by 10%.
Calculate the percentage profit on a computer sold in the sale.

The answer is 17%. Please, can someone show me how to get there?

So far I have been thinking:

Normal price x 0.3 = profit.

in a sale,

normal price x 0.9 = sale price
if profit is still 30% then to get the profit on sale price I would:
normal price x 0.9 x 0.3

But then I think profit is on normal price so a reduction 10% would mean the profit would still be the same value as that on the normal price but in the sale the total amount paid would be left the discount would affect the overall amount but the profit would still need to be the same as that on the normal price.
So normal price = a

a x 0.7 is the price after profit has been taken
a x 0.3 is profit from normal price
sale price is a x 0.9
profit would be sale price take profit as found from normal price
a0.9 - a0.3

Either way, I don't get 17%.

Hoping someone can help me out, thank you in advance.
 
Let the Cost Price be x

Then the normal selling price would be 1.3x (ie x + 30% of x)

The Sale price would then be 0.9 x 1.3 x = 1.17 x … which corresponds to a profit of 17% on the cost price.
 
30% profit means you made back the cost of the item, plus 30% more

SO:

(normal price) = 1.3*(cost)

In the sale, we take 10% off the normal price. So it's only priced at 90% of what it was before:

(sale price) = 0.9*(normal price) = 0.9*1.3*(cost)


So in the end we made back 0.9*1.3*(cost), which is exactly 1.17*(cost)
 
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