Question

A tent was marked up 150% from an original cost of $52. Last Friday, Ethan bought the tent and paid an additional 10% in sales tax. What was his total cost?

Answer 1

Answer: The total cost of a tent is $85.8.

Step-by-step explanation:

Since we have given that

Original price of a tent = $52

Mark-up percent = 150%

So, marked price becomes

`(150)/(100)* 52\\\\=(3)/(2)* 52\\\\=3* 26\\\\=\$78`

Now, he paid an additional 10% in sales tax.

So, final cost becomes

`(100+10)/(100)* 78\\\\=(110)/(100)* 78\\\\=(11)/(10)* 78\\\\=(858)/(10)\\\\=\$85.8`

So, the total cost of a tent is $85.8.

Answer 2

Find out the what was his total cost .

To prove

As given

A tent was marked up 150% from an original cost of $52.

Last Friday, Ethan bought the tent and paid an additional 10% in sales tax.

Than the equation becomes

150 % is written in the decimal form .

`=(150)/(100)`

= 1.5

10 % is written in the decimal form .

`=(10)/(100)`

= 0.1

cost of the tent when 150% marked up from origianl price = 1.5× 52

= $ 78

cost of the tent = origianl cost + 150% marked up from origianl price

= $52 + $78

= $ 130

Sales price on the tent = $130 × 0.1

= 13

Total cost of the tent = $130 + $13

= $143

Therefore the cost of the tent is $143.