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A certain store sells only records and CD's. All CD's cost $

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A certain store sells only records and CD's. All CD's cost $

by alanforde800Maximus » Wed Oct 19, 2016 7:05 pm
A certain store sells only records and CD's. All CD's cost $7.82, including tax, and all records cost $4.18, including tax. Yesterday, did John buy
more than 5 records at this store?
a) Yesterday, John spent less than $25 at the store.
b) Yesterday, John bought at least one CD at the store.

Please assist with above problem.
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Thu Oct 20, 2016 7:03 am
alanforde800Maximus wrote:A certain store sells only records and CD's. All CD's cost $7.82, including tax, and all records cost $4.18, including tax. Yesterday, did John buy more than 5 records at this store?

a) Yesterday, John spent less than $25 at the store.
b) Yesterday, John bought at least one CD at the store.
Target question: Did John buy more than 5 records ?

Given: CD's cost $7.82, and records cost $4.18

Statement 1: Yesterday, John spent less than $25 at the store.
Notice that it costs $25.08 to buy 6 records, since (6)($4.18) = $25.08
So, if John spent less than $25, it is impossible for him to buy 6 or more records.
In other words, John did NOT buy more than 5 records
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: Yesterday, John bought at least one CD at the store
Since there's no information restricting the number of purchases John made, we can see that statement 2 is NOT SUFFICIENT.
For example, here are two possible cases:
Case a: John bought 1 CD and 0 records. So, John did NOT buy more than 5 records
Case b: John bought 1 CD and 10 records. So, John DID buy more than 5 records
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

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Brent
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by fiza gupta » Thu Oct 20, 2016 6:55 pm
C.D costs : 7.82 and records cost:4.18

1) spent less than $25
let john bought 6 C.D's : total costs : 4.18*6 = 25.08
but has spent less than 25, so he has not brought more than 5 C.D's
SUFFICIENT

2) john bought at least one C.D
but he could have bought more or less than 5 C.D's , no other info is given
INSUFFICIENT

SO A
Fiza Gupta
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