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The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.

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Answer:


Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = (5)/(100) * x = (5x)/(100)\\\\Price \ after \ increase, current\ price = (5x)/(100) + x\\\\


=> 609000 = (5x)/(100) + x\\\\=>609000 = (105x)/(100)\\\\=> x = (609000 * 100)/(105)\\\\x = 580000

Therefore original price = $580,000

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