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Crime Figures

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

Let the number of cases solved in 2003 be $x$. This was $80\%$ of the number of cases, so there were $5x/4$ cases to solve in 2003. So the number of cases to solve in 2004 was $5x/4 \times 6/5$, which is $3x/2$. Inspector Remorse solved $60\%$ of the cases, which is $9x/10$. So there was a $10\%$ decrease in the number of cases solved.

 

 

This problem is taken from the UKMT Mathematical Challenges.