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Mahammad2020
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ll the cars in the lot of a particular dealership have either a manual 15 Jan 2021, 09:57
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55% (hard)

Question Stats:

68% (02:38) correct 32% (02:55) wrong based on 416 sessions

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All the cars in the lot of a particular dealership have either a manual transmission or an automatic transmission, and all have either two doors or four doors. In this lot, 60% of the cars have a manual transmission and 70% of the cars have four doors. If 90% of the cars in the lot have either a manual transmission or four doors or both, then what percentage of the automatic transmission cars have four doors?

a) 25%
b) 37.5%
c) 50%
d) 62.5%
e) 75%
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E
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ll the cars in the lot of a particular dealership have either a manual 15 Jan 2021, 22:56
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Mahammad2020
All the cars in the lot of a particular dealership have either a manual transmission or an automatic transmission, and all have either two doors or four doors. In this lot, 60% of the cars have a manual transmission and 70% of the cars have four doors. If 90% of the cars in the lot have either a manual transmission or four doors or both, then what percentage of the automatic transmission cars have four doors?

a) 25%
b) 37.5%
c) 50%
d) 62.5%
e) 75%
Show more


Hi

The question can be best done by 2*2 matrix

The details given can be added as shown in the figure attached.
In red are the details that have already been given. If we take total as 100, 60 and 70 can be added in the total column/row.
As 90% of the cars in the lot have either a manual transmission or four doors or both, the remaining 10 will come against Auto and 2 doors.

Total auto are 40, out of which 30 are 4-doors => 30/40=75%

E
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ll the cars in the lot of a particular dealership have either a manual 15 Jan 2021, 23:31
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chetan2u
Mahammad2020
All the cars in the lot of a particular dealership have either a manual transmission or an automatic transmission, and all have either two doors or four doors. In this lot, 60% of the cars have a manual transmission and 70% of the cars have four doors. If 90% of the cars in the lot have either a manual transmission or four doors or both, then what percentage of the automatic transmission cars have four doors?

a) 25%
b) 37.5%
c) 50%
d) 62.5%
e) 75%


Hi

The question can be best done by 2*2 matrix

The details given can be added as shown in the figure attached.
In red are the details that have already been given. If we take total as 100, 60 and 70 can be added in the total column/row.
As 90% of the cars in the lot have either a manual transmission or four doors or both, the remaining 10 will come against Auto and 2 doors.

Total auto are 40, out of which 30 are 4-doors => 30/40=75%

E
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chetan2u

I guess you missed attaching the image.
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ll the cars in the lot of a particular dealership have either a manual 17 Feb 2021, 17:32
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Mahammad2020
All the cars in the lot of a particular dealership have either a manual transmission or an automatic transmission, and all have either two doors or four doors. In this lot, 60% of the cars have a manual transmission and 70% of the cars have four doors. If 90% of the cars in the lot have either a manual transmission or four doors or both, then what percentage of the automatic transmission cars have four doors?

a) 25%
b) 37.5%
c) 50%
d) 62.5%
e) 75%
Show more
Solution:

We can let the total number of cars be 100. So 60 cars have a manual transmission, 40 have an automatic transmission, 70 have four doors, and 30 have two doors. Since 90 cars have either a manual transmission or four doors, 60 + 70 - 90 = 40 cars have both a manual transmission and four doors. Therefore, of the 70 cars that have four doors, 70 - 40 = 30 of them must have an automatic transmission. Since 40 cars have an automatic transmission and 30 of them have four doors, the percentage of the automatic transmission cars that have four doors is 30/40 = 3/4 = 75%.

Alternate Solution:

We can let the total number of cars be 100. So 60 cars have a manual transmission and 40 have an automatic transmission. Further, 90 cars have either a manual transmission, four doors, or both. Then, the remaining 100 - 90 = 10 cars have neither a manual transmission nor four doors. It follows that these 10 cars have automatic transmission and two doors. Since there are 40 cars with an automatic transmission and since 40 - 10 = 30 of them have four doors, the percentage of the automatic transmission cars that have four doors is 30/40 = 75%.

Answer: E
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ll the cars in the lot of a particular dealership have either a manual 07 Oct 2025, 04:35
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