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A store owner bought a shirt wholesale for $35 and sold it in her store for $50. What is the percent increase?

Respuesta :

WindyMint

Given :-

  • CP = $35
  • SP = $ 50

To find :-

  • Percentage increase

We know :-

SP > CP

.°. There is a profit

  • Profit = SP - CP
  • Profit = 50 - 35
  • Profit = $ 15

  • Profile% = Profit/CP ×100
  • Profit % = 15/35 × 100
  • Profit% = 3/7 × 100
  • Profit% = 300/7
  • Profit% = 42.86(approx) %

Increase % = 42.86(approx) %

Solution:

We know that:

[tex]\large\tex\text{Profit percentage:} \ \dfrac{S.P - C.P}{C.P} \times 100 \\\\ \tex\text{The cost price of the shirt is the cost the storeowner bought.} \\\\ \ \ \tex\text{The selling price of the shirt is the price the store owner is selling it.}[/tex]

We can make the following points:

  • Since the storeowner bought the shirt for $35, the cost price is $35.
  • Since the storeowner sold the shirt for $50, the selling price is $50.

Now, let's find the profit percent by plugging the C.P and the S.P.

Step-by step calculations:

[tex]\large\tex\text{Profit percentage:} \ \dfrac{S.P - C.P}{C.P} \times 100[/tex]

[tex]\large\tex\text{Profit percentage:} \ \dfrac{50 - 35}{35} \times 100[/tex]

[tex]\large\tex\text{Profit percentage:} \ \dfrac{15}{35} \times 100[/tex]

[tex]\large\tex\text{Profit percentage:} \ \dfrac{3}{7} \times 100[/tex]

[tex]\large\tex\text{Profit percentage:} \ \dfrac{300}{7} \%[/tex]

[tex]\boxed{\bold{\large\tex\text{Profit percentage \ =} \ 42.86\% \ (Estimate)}}[/tex]

Thus, the percent increase is about 42.86%.