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 May 18th, 2019, 01:05 PM #1 Newbie   Joined: May 2019 From: London Posts: 18 Thanks: 0 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.
May 18th, 2019, 01:35 PM   #2
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Quote:
 Originally Posted by Basko 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.

 May 18th, 2019, 01:44 PM #3 Newbie   Joined: May 2019 From: London Posts: 18 Thanks: 0 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.  May 18th, 2019, 01:45 PM #4 Newbie Joined: May 2019 From: London Posts: 18 Thanks: 0 22% May 18th, 2019, 01:47 PM #5 Math Team Joined: Jul 2011 From: Texas Posts: 3,034 Thanks: 1621 Quote:  Originally Posted by Basko 22% ???$\displaystyle 0.70x = \$50 \implies x = \dfrac{\$50}{0.70} \approx \$71.43$

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