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Vaselesa [24]
2 years ago
13

Micah pays 54$ for an item originally priced 60$. What percentage of the original price was his discount?

Mathematics
1 answer:
pantera1 [17]2 years ago
3 0

Answer: The percentage of the original price was his discount = 10%

Step-by-step explanation:

Given: original price = $60

Price after discount =  $54

Discount = Price after discount  - original price

= $ (60-54) = $6

The percentage of the original price was his discount = \dfrac{Discount}{Original\ price}\times100

=\dfrac{6}{60}\times100\%\\\\=\dfrac{1}{10}\times100\%\\\\=10\%

Hence, the percentage of the original price was his discount = 10%

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y  + w  + y + w = 360 \to \sum \: of \: angles \\ y = \:  \boxed{opp \:  y}  \to \: vertically \: opposite \: angles \: are \: equal \\ w = \:  \boxed{opp \:  w}  \to  \: the \: same \: reason \: as \: y\\ hence \to \\ 2(w+ y) = 360 \\ w + y = 180 \\ but \: 5w = 360 \to \: angles \: at \: a \: point \\ w =  \frac{360}{5}  \\  \boxed{w = 72} \\ therefore \to \\ w + y = 180 \\ 72 + y = 180 \\ y = 180 - 72 \\ \boxed{ y = 108}  \\ hence \:  \boxed{x} \: is \: given \: by \to \\y + x + y = 360 \to \: angles \: at \: a \: point \\108 + x + 108 = 360 \\ x = 360 - 216 \\ \boxed{ x = 144}

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