The price of an article increases by 25%, then decreases by 20%, and finally increases by 15%. What is the overall percentage change in the price?
15%
Take the original price as 100 to make the successive changes easy to track.
After a 25% increase: \(100 \times \frac{125}{100} = 125\).
After a 20% decrease on 125: \(125 \times \frac{80}{100} = 100\).
After a 15% increase on 100: \(100 \times \frac{115}{100} = 115\).
The final price 115 compared with the starting 100 gives a change of \(115 - 100 = 15\).
Hence, the overall percentage change is a 15% increase.
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