SOLUTION: An old carpet which now costs 1000naira was sold for 1400naira when new, calculate the percentage decrease.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: An old carpet which now costs 1000naira was sold for 1400naira when new, calculate the percentage decrease.       Log On


   

Question 1053826: An old carpet which now costs 1000naira was sold for 1400naira when new, calculate the percentage decrease.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x%2F100+ = the percent decrease
+1400+-+%28+x%2F100+%29%2A1400+=+1000+
+1400%2A%28+1+-+x%2F100+%29+=+1000+
+1+-+x%2F100+=+5%2F7+
+7%2F7+-+x%2F100+=+5%2F7+
+-x%2F100+=+-2%2F7+
+7x+=+200+
+x+=+28.571+
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The percent decrease is 28.57 %
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check:
+1400+-+%28+28.571%2F100+%29%2A1400+=+1000+
+1400+-+.28571%2A1400+=+1000+
+1400+-+399.994+=+1000+
Ok -error due to rounding off