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hram777 [196]
3 years ago
15

Brainly the owner of a hat store buys a hat for 5.50 he uses a markup rate up 105% what is the sale price of the hat

Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

11.275 is the sale price of the hat

<u>Step-by-step explanation:</u>

Brainly the owner of a hat store buys a hat for 5.50 and he uses a mark-up rate is 105%. Need to find out what is the sale price of the hat.

Here, given data, cost price of hat = 5.5. Let the selling price of hat be x and find the data as asked in question,

                \text {Markup rate}=\frac{S . P .-C . P .}{S . P .} \times 100

                105=\frac{x-5.5}{5.5} \times 100

                \frac{105 \times 5.5}{100}=x-5.5

                \frac{577.5}{100}=x-5.5

               5.775 + 5.5 = x

Where,

S.P - sale price

C.P - cost price

Therefore, x = 11.275 is the sale price of the hat.

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\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

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∴ Hence, the measure of the third angle of the triangle is 140°.

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