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

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Bunuel
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Andre has already saved 3/7 of the cost of a new car, and he has [#permalink] New post   26 Mar 2024, 01:30
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71% (01:34) correct 29% (01:44) wrong based on 66 sessions
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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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mayankdgmat
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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink] New post   26 Mar 2024, 02:40
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IMO C

Let cost of car be c

c-(3/7)c = 4c/7

Saving by summer= 2/5*4c/7=8c/35

Remaining saving need to be done = c-(8c/35+3c/7) =c-(23c/35) = 12c/35
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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink] New post   26 Mar 2024, 12:04
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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

Solution

Given 

 Saved 3/7 of the cost of a new car and be able to save 2/5 of the remaining amount

So, let's make it simpler by taking the LCM of denominators i.e. 7*5 = 35

As we know saved 3/7 of the cost of a new car - 35 * 3/7 = 15 and 35 - 15 = 20 remains
Be able to save 2/5  of the remaining amount - 20 * 2/5 =  8   and 20 - 8   = 12 remains

So, the fraction of the cost of a new car that he still needs to save   = 12/35

Hence, option C


 
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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink] New post   27 Mar 2024, 19:05
In 1st saving he has saved 3/7 of the cost and remaining is 4/7 cast that need be saved.
Now in 2nd saving he has saved 2/5 of the unsaved cost which is 4/7 but 3/5 of 4/7 will still be unsaved.

So the remaining unsaved cost will be = 3/5 of 4/7 = 12/35

Ans is C.
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Re: Andre has already saved 3/7 of the cost of a new car, and he has [#permalink]
27 Mar 2024, 19:05
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