An instrument store gives a 10% discount to all students off the original cost of an instrument.?

Question

During a back to school sale an additional 15% is taken off the discounted price. julie a student at the local high school, purchases a flute for $306.00. How much did it originally cost?

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Please explain how u got ur answer, and u are going to answer dis please answer it seriously.

Thanks!

Answer 1

First 306 is 85% of 100% of the first discoult were before price after first discount =

(306/85) x 100 = 360 dollors

As this is 90% of the starting price

(360/90) x 100 = 400 dollors

Answer 2

What the first person said was right:
(306/0.85)/0.90 = 400 dollars

Here's the explanation:
$306 is 85% the cost (100%-15%=85% - deducting the additional 15%). That brings the total to $360 (which is 90% of the original price...100%-90%=10% discount). That means the original price was $400.

Answer 3

Let the original price be P. Then the discounted price is 90% of P (10% off) and the sale price is 85% of that. Therefore, P*0.9*0.85=306.00 Divide both sides by .85 and .9 to get P=400. Therefore, the flute cost $400.00 originally.

Answer 4

10% discount means you pay .90 of the cost
15% discount means you pay .85 of the cost

306 is .85 of the discounted price; 306 / .85 = 360
360 is .90 of the original price; 360 / .90 = 400

$400 is the original price

Answer 5

Let d=discounted price (d1 and d2), p=original price
at 10% discount,
d1=p - 0.10p = 0.90p
additional 15% disc. off the discounted price:
d2=d1 - 0.15d1, d1=0.90p
= 0.90p - 0.15(0.90p)
= 0.90p - 0.135p
d2=0.765p
since she bought the flute at $306.00, d2=306
so,
d2=0.765p
306=0.765p
p=306/0.765
p=400
Thus, the original cost of the flute is $400.00

Answer 6

306=.85*.9*x

306/.85/.9=x
x=400

306 is 85% of the sale price, which is 90% of the original price.