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# The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

$100\%-25\%=75\%=\frac{75}{100}=0.75\\\\100\%+20\%=120\%=\frac{120}{100}=1.2\\\\1.2\cdot0.75=0.9=0.9\cdot100\%=90\%\\\\100\%-90\%=10\%\\\\Answer:Single\ reduction\ is\ 10\%.$