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

40%  . The single reduction together is 40%.

Step-by-step explanation:

Let the bicycle cost is   x before reduced price.

First 25% is reduced  and again 20% further reduced.

Let the single reduction is y% if the two reduction together are equal.

Solution,

Case .1

reduction cost%

The cost of bicycle after reduction of 25% is

cost of reduction further reduction of 20%      %

The new cost of bicycle is further reduction of 20% is

Case.2

if single reduction is done new cost of cycle is equal

%=

%

single reduction of a cycle is 40%