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May 18th, 2019, 01:05 PM   #1
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The new price is \$50. It got reduced by 30% to get to \$50. What is the original price?
I just can't get my head around this. Can anyone give me a hand please?
Thanks.

Last edited by skipjack; May 18th, 2019 at 05:10 PM.
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May 18th, 2019, 01:35 PM   #2
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The new price is \$50. It got reduced by 30% to get to \$50. What is the original price?
I just can't get my head around this. Can anyone give me a hand please?
Thanks.
I assume an original price reduced 30% is 50 dollars.

If so, then the new price of 50 dollars is 70% of the original price.

Letting x be the original price ...

0.70x = 50 dollars

Solve for x.

Last edited by skipjack; May 18th, 2019 at 05:11 PM.
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May 18th, 2019, 01:44 PM   #3
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30% of a number is
30
━━ = 0.30 times that number.
100

30% of "X" is 0.30X. Taking 30% off X is X - 0.30X = (1 - 0.30)X = 0.70X.
That is equal to \$50, so 0.70X= \$50. To find X, divide by 0.70:
X = \$50 / 0.70

Last edited by skipjack; May 18th, 2019 at 05:04 PM.
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May 18th, 2019, 01:45 PM   #4
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22%
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May 18th, 2019, 01:47 PM   #5
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22%
???

$\displaystyle 0.70x = \$50 \implies x = \dfrac{\$50}{0.70} \approx \$71.43$
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