6. A storekeeper sold a wrist watch for $660, including a sales tax of 10%.If the cost price of the watch is $500, what is the percentage profit for shopkeeper?
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sp=660
after 10% sale tax sp will be
![sp = \frac{660 \times 110}{100} = 726 \\ cp = 500 \\ profit = sp - cp \\ p = 726 - 500 \\ p = 226 \\ profit\% = \frac{p \times 100}{cp} \\ p\% = \frac{226 \times 100}{500} \\ p\% = 45.20 sp = \frac{660 \times 110}{100} = 726 \\ cp = 500 \\ profit = sp - cp \\ p = 726 - 500 \\ p = 226 \\ profit\% = \frac{p \times 100}{cp} \\ p\% = \frac{226 \times 100}{500} \\ p\% = 45.20](https://tex.z-dn.net/?f=sp+%3D++%5Cfrac%7B660+%5Ctimes+110%7D%7B100%7D+%3D+726+%5C%5C+cp+%3D+500+%5C%5C+profit+%3D+sp+-+cp+%5C%5C+p+%3D+726+-+500+%5C%5C+p+%3D+226+%5C%5C+profit%5C%25+%3D++%5Cfrac%7Bp+%5Ctimes+100%7D%7Bcp%7D+++%5C%5C+p%5C%25+%3D++%5Cfrac%7B226+%5Ctimes+100%7D%7B500%7D++%5C%5C+p%5C%25+%3D+45.20)
after 10% sale tax sp will be
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Answer:
Profit percentage is 19% .
Step-by-step explanation:
As given
A storekeeper sold a wrist watch for $660, including a sales tax of 10%.
10% is written in the decimal form.
= 0.10
Sales tax price = 0.10 × 660
= $66
Selling price of the wrist watch = Selling price of the wrist watch including sales tax - Sales price
Putting all the value in the above
Selling price of the wrist watch = $660 - $66
= $595
Now find out the profit percentage of the shopkeeper .
Where Profit = Selling price - Cost price
Thus
Profit = $595 - $500
= $95
Put in the profit percentage formula
Profit percentage = 19%
Therefore the profit percentage is 19% .
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