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Andre has already saved 3/7 of the cost of a new car, and he has

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Andre has already saved 3/7 of the cost of a new car, and he has [#permalink]

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New post 26 Feb 2017, 08:24
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Andre has already saved 3/7 of the cost of a new car, and he has calculated that he will be able to save 2/5 of the remaining amount before the end of the summer. If his calculations are correct, what fraction of the cost of the new car will he still need to save at the end of summer vacation?

A. 6/36
B. 8/35
C. 12/35
D. 23/35
E. 29/35

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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink]

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New post 02 Mar 2017, 04:26
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Andre already saved 3/7 of the cost. Therefore, remaining cost = 4/7.

He again saved 2/5 of the remaining cost(4/7).
So, actual remaining cost 3/5 of 4/7 i.e. = (3/5)*(4/7) = 12/35.

Answer C.
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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink]

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New post 02 Mar 2017, 07:56
SajjadAhmad wrote:
Andre has already saved 3/7 of the cost of a new car, and he has calculated that he will be able to save 2/5 of the remaining amount before the end of the summer. If his calculations are correct, what fraction of the cost of the new car will he still need to save at the end of summer vacation?

A. 6/36
B. 8/35
C. 12/35
D. 23/35
E. 29/35


Let the cost of the new car be 35

Amount saved = \(\frac{3}{7}*35 = 15\) ; Amount left is 20
Amount to be saved before summer = \(20*\frac{2}{5}\) = 8 ; AMount remaining is 12

Thus, Andre needs to save \(\frac{12}{35}\) part of the cost fo the new car...

Answer must be (C) \(\frac{12}{35}\)
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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink]

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New post 02 Mar 2017, 08:10
Suppose the car is coming @700$.
Andre already has 3/7 of this amount = 3/7 * 700 = $300
How much more he needs to save = $400

Out of this value - he is able to save 2/5th of this amount = 2/5 * 400 = $160
How much more he needs to save = $400 - $160 = $240

To represent in fraction = $240/$700 = 12/35
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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink]

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New post 06 Mar 2017, 18:04
SajjadAhmad wrote:
Andre has already saved 3/7 of the cost of a new car, and he has calculated that he will be able to save 2/5 of the remaining amount before the end of the summer. If his calculations are correct, what fraction of the cost of the new car will he still need to save at the end of summer vacation?

A. 6/36
B. 8/35
C. 12/35
D. 23/35
E. 29/35


If Andre has saved 3/7 of the cost of a new car, he has 4/7 of the cost remaining. Since he will be able to save 2/5 of the remaining cost, he will be able to save 2/5 x 4/7 = 8/35 of the total cost of the new car before the end of the summer.

Thus, he will still have 1 - (3/7 + 8/35) = 1 - 23/35 = 12/35 of the cost of the car left to save.

Answer: C
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Re: Andre has already saved 3/7 of the cost of a new car, and he has   [#permalink] 06 Mar 2017, 18:04
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