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The price of a car is reduced by 30 percent. The resulting price is re
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30 Jan 2021, 10:46
30 Jan 2021, 10:46
Expert Reply
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Question Stats:
30% (00:55) correct
69% (00:32) wrong based on 13 sessions
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The price of a car is reduced by 30 percent. The resulting price is reduced 40 percent. The two reductions are equal to one reduction of
(A) 28%
(B) 42%
(C) 50%
(D) 58%
(E) 70%
Kudos for the right answer and explanation
(A) 28%
(B) 42%
(C) 50%
(D) 58%
(E) 70%
Kudos for the right answer and explanation
Re: The price of a car is reduced by 30 percent. The resulting price is re
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31 Jan 2021, 08:09
31 Jan 2021, 08:09
1
This can be solved by using successive formula.
1) Successive increase = a% + b% + \(\frac{ab}{100}\)%
2) Successive discount = a% + b% - \(\frac{ab}{100}\)%
Here we will use 2nd formula.
a = 30% & b = 40%
Successive discount = 30 + 40 - \(\frac{30*40}{100}\)
= 70 - 12 = 58%
Answer D
1) Successive increase = a% + b% + \(\frac{ab}{100}\)%
2) Successive discount = a% + b% - \(\frac{ab}{100}\)%
Here we will use 2nd formula.
a = 30% & b = 40%
Successive discount = 30 + 40 - \(\frac{30*40}{100}\)
= 70 - 12 = 58%
Answer D
Re: The price of a car is reduced by 30 percent. The resulting price is re
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31 Jan 2021, 09:07
31 Jan 2021, 09:07
Expert Reply
The price is 100
\(100 \times 0.7 =\) the price reduced by 30% = 70
\(70 \times 0.6 =\) the price reduced further by 40% = 42%
However, this is not the answer or B . Because the question asks you about "The two reductions are equal to one reduction of"
To reach a reduction of 42% from 100
\(100 \times 0.58\)........
This means that D is the answer
30 seconds approach
\(100 \times 0.7 =\) the price reduced by 30% = 70
\(70 \times 0.6 =\) the price reduced further by 40% = 42%
However, this is not the answer or B . Because the question asks you about "The two reductions are equal to one reduction of"
To reach a reduction of 42% from 100
\(100 \times 0.58\)........
This means that D is the answer
30 seconds approach
