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anzhelika [568]
3 years ago
12

An object is sold for a price with a 7% tax. The final price is then $21.40. What was the original price

Mathematics
2 answers:
kari74 [83]3 years ago
6 0
Fp=1.07*P
21.4=1.07P
21.4/1.07=P
P=$20
lapo4ka [179]3 years ago
5 0

Answer:

The original price of object is $20

Step-by-step explanation:

 Given : An object is sold for a price with a 7% tax. The final price is then $21.40.

We have to find the original price.

Since the final price includes the original price and  tax paid.

So $ 21.40 includes original price and tax paid.

Let original price is x, then

Tax paid is 7% of original price that is \frac{7}{100}\times x

Thus, \frac{7}{100}\times x+x=21.40

Simplify, for x,

0.07\times x+x=21.40

0.07x+x=21.40

we have,

1.07x=21.40

Divide both side by 1.07 . we have,

x = 20

Thus, the original price of object is $20

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Answer:

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__

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

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