SOLUTION: I need help with this question:The price of a car is reduced by 25 percent. the new price is reduced by a further 20 percent. the two reductions together are equal to a single redu

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Question 1009585: I need help with this question:The price of a car is reduced by 25 percent. the new price is reduced by a further 20 percent. the two reductions together are equal to a single reduction of what percent? 45 is a wrong answer , my teacher said that
Found 4 solutions by josgarithmetic, addingup, MathLover1, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

and then








The final price became 60% of the original price, which is a 40% price reduction.
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
45 is incorrect because you have: the price of the car is 100% and it is reduced by 25%. 100-25= 75%.
Now you have a further reduction of 20%, but note, it's 20% off of 75%, not of the original full price of 100%.
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75%-(75*20)= 75-15= 60% is the new price of the car, and 100-60= 40% is the total reduction in price.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

The price of a car is reduced by % percent.
which
the new price
then again, the new price is reduced by a further % percent

the two reductions together are equal to a single reduction of what percent %
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
I need help with this question:The price of a car is reduced by 25 percent. the new price is reduced by a further 20 percent. the two reductions together are equal to a single reduction of what percent? 45 is a wrong answer , my teacher said that
With 1st reduction being 25%, price of car = .75 [(1 - .25) * 1]

2nd reduced price: .6 [(1 - .2) * .75]

With final reduced price being .6 (60% of original price), total reduction is: 1 - .6, or .4, or  % 

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