Percentage

2008-01-27 2:16 am
When a pair of shoes is sold at marked price of $350 , the profit is 25%. If it is sold at a discount of 10%, what is the profit in percent?

Ans. 12.5%

Please state the steps clearly

回答 (2)

2008-01-27 2:30 am
✔ 最佳答案
Let the cost price be $x
x(1+25%)=350
x(1.25)=350
x=350/1.25=280
The cost price is $280
If it is sold at a discount of 10%,
the selling price=350(1-10%)=350(90%)=350(0.9)=$315
the profit in percent
=[(the selling price)-(the cost price)])/(the cost price)*100%
=(315-280)/280*100%
=35/280*100%
=12.5%
2008-01-27 2:37 am
Let x be the cost
x(1+25%)=350
1.25x=350
x=280
so, the cost is $280
The new marked price
350(1-10%)
=350(0.9)
=315
The percentage change
[(315-280)/280](100%)
=(35/280)(100%)
=12.5%


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