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(39616) About Me  (Show Source):
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p-0.25p
and then
%28p-0.25p%29-0.2%28p-0.25p%29
p%281-0.25%29-0.2p%2B0.2%2A0.25p
0.75p-0.2p%2B0.2%2A0.25p
p%280.75-0.2%2B0.2%2A0.25%29
%280.75-0.2%2B0.05%29p
%280.75-0.15%29p
0.6p

The final price became 60% of the original price, which is a 40% price reduction.

Answer by addingup(3677) About Me  (Show Source):
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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) About Me  (Show Source):
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The price of a car is reduced by 25% percent.
which %2825%2F100%29
the new price 100%2F100-25%2F100=75%2F100
then again, the new price is reduced by a further 20% percent
%2875%2F100%29-20%2F100=55%2F100
the two reductions together are equal to a single reduction of what percent 55%

Answer by MathTherapy(10551) About Me  (Show Source):
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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 highlight_green%2840%29 %