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More than and less than with different bases

More than and less than with different bases

IP 1
7 marks
  1. Ali's monthly pay is \(25\%\) more than Ben's. By what percentage is Ben's pay less than Ali's?[2]
  2. Quantity \(A\) is \(r\%\) more than quantity \(B\), where \(r>0\). Show that \(B\) is \(\dfrac{100r}{100+r}\%\) less than \(A\).[3]
  3. Find \(r\) if \(B\) is \(37.5\%\) less than \(A\).[2]

Solution:

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Answer:(a) \(20\%\) (b) \(\dfrac{A-B}{A}\times100\%=\dfrac{100r}{100+r}\%\) (c) \(r=60\)

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