Question

Amanda bought an item at four fifth of its marked price and sold it at 95 percentage of its marked price find her profit percentage.​

Answer 1

Answer:

18.75 % is the correct answer .

Answer 2

The percentage of profit = 18.75%

Given :

Amanda bought an item at four fifth of its marked price and sold it at 95 percentage of its marked price

To find :

The percentage of profit

Solution :

Step 1 of 3 :

Write down Cost price and Selling price

Let marked price = 100x

Now Amanda bought an item at four fifth of its marked price

∴ The cost price of the item

$\displaystyle \sf{ = \frac{4}{5} \times 100x }$

$\displaystyle \sf{ = 80x }$

Again Amanda sold it at 95 percentage of its marked price

∴ Selling price of the item

$\displaystyle \sf{ = \frac{95}{100} \times 100x }$

$\displaystyle \sf{ = 95x }$

Step 2 of 3 :

Calculate amount of profit

Now 95x > 80x

∴ Selling price > Cost price

So there is profit

∴ Profit

= 95x - 80x

= 15x

Step 3 of 3 :

Calculate profit percentage

Hence the required profit percentage

$\displaystyle \sf{ = \frac{15x}{80x} \times 100\% }$

$\displaystyle \sf{ = \frac{15}{80} \times 100\% }$

$\displaystyle \sf{ = \frac{75}{4} \% }$

$\displaystyle \sf{ = 18.75\%}$

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