Question

1. A music store marks up the instruments it sells by 30%.
A. If the store bought a guitar for $45, what will be its store price?
B. If the price tag on a trumpet says $104, how much did the store pay for it?
C. If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?

Answer 1

Answer:

A. $ 58.50

B. $ 80

C. No, it did not mark up 30%.

Step-by-step explanation:

Since,

$\text{Mark up percentage}=\frac{\text{Store price-Actual price}}{\text{Actual price}}\times 100$

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

$\implies 30=\frac{SP - 45}{45}\times 100$

$30\times 45 = 100SP - 4500$

$1350=100SP - 4500$

$5850 = 100SP$

$\implies SP = \ 58.50$

B. We have,

SP = $ 104,

$\implies 30=\frac{104-AP}{AP}\times 100$

$30AP = 10400 - 100AP$

$130AP=10400$

$AP=\ 80$

C.  We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage = $\frac{100-75}{75}\times 100$

$=\frac{25}{75}\times 100$

$=\frac{1}{3}\times 100$

= 33.33 %

Hence, store did not mark up the price by 30%.

Answer 2

Answer:

A) Store Price = $58.5

B) Actual Price = $80

C) Store did not mark up the price by 30%.

Step-by-step explanation:

Given :

Mark up percentage = 30%

Formula using :

$\rm Mark \;Up \;Percentage = \dfrac{Store\;price-Actual\;price}{Actual \;price}\times100$   ------- (1)

Calculation :

A) Actual Price = $45

Now, from equation (1)

$\rm 30=\dfrac{SP-45}{45}\times100$

$\rm SP = \dfrac{30\times45}{100} +45$

SP = $58.5

B) SP = $104

Now, from equation (1)

$\rm 30=\dfrac{104-AP}{AP}\times100$

$\rm 0.3\times AP = 104-AP$

$\rm AP=\dfrac{104}{1.3}$

AP = $80

C) AP = $75

    SP = $100

From equation (1),

$\rm Mark\;up\;percentage = \dfrac{100-75}{75}\times100$

$\rm Mark\;up\;percentage = 0.3333\times100$

Mark up percentage = 33.33%

Store did not mark up the price by 30%.

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https://brainly.com/question/830927?referrer=searchResults