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23 The profit from the sale of a certain appliance

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23 The profit from the sale of a certain appliance [#permalink] New post 22 Jan 2010, 17:01
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#23
The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. did the profit exceed $4 million on sales of 380000 units?

(1) the profit exceeded $2 million on sales of 200000 units
(2) the profit exceeded $5 million on sales of 350000 units



answer: B

Got stuck on (2), what's a good strategy to solve this question?

#123

Joana bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought only $4.40 worth of stamps
(2) she bought an equal number of $0.15 stamps and $0.29 stamps

answer: A

#137
at a bakery, all donuts are price equally and all bagels are price equally. what is the total price of 5 donuts and 3 bagels at the bakery?

(1) at the bakery, the total price of 10 donuts and 6 bagels is $12.90
(2) at the bakery, the price of a donut is $0.15 less than the price of a bagel

answer: A
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 17 Feb 2010, 20:56
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testprep2010 wrote:
luminousmocha wrote:
#123

Joana bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought only $4.40 worth of stamps
(2) she bought an equal number of $0.15 stamps and $0.29 stamps

answer: A


# 123. Ans is D

A. let 0.15 be x number and 0.29 be y

then,

0.15x + 0.29 y = 4.40
=> x= 4.40-0.29y/0.15

you can directly check for y=5,10,15,..

for y=5 x = 19.66 rule out since x is a fraction
for y=10, x = 10
for y=15, x = .33 rule out since x is a fraction

So, A is sufficient

B. 0.15x + .29x = 4.40
=> .44x = 4.4
=> x=10

So, B is sufficient


The answer should be A as the only combination possible is 10 of $0.15 and 10 of 0.29 stamps (Statement 1 is suff). Statement 2 is insufficient as we don't know the total amount spent on the stamps.
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 22 Jan 2010, 17:41
luminousmocha wrote:
#23
The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. did the profit exceed $4 million on sales of 380000 units?

(1) the profit exceeded $2 million on sales of 200000 units
(2) the profit exceeded $5 million on sales of 350000 units



answer: B

Got stuck on (2), what's a good strategy to solve this question?

#123

Joana bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought only $4.40 worth of stamps
(2) she bought an equal number of $0.15 stamps and $0.29 stamps

answer: A

#137
at a bakery, all donuts are price equally and all bagels are price equally. what is the total price of 5 donuts and 3 bagels at the bakery?

(1) at the bakery, the total price of 10 donuts and 6 bagels is $12.90
(2) at the bakery, the price of a donut is $0.15 less than the price of a bagel

answer: A


The first question is pretty evident. If 3.5L units help exceed $5m of profits, then 3.8L units certainly would have helped exceed $4m already. B is the answer straight, shouldn't take more than a 15 secs to solve this.

I beg to differ for the second question.

For the second question - consider x number of $0.15 stamps and y number of $0.29 stamps were purchased. First statement says 0.15x + 0.29y = 4.40. From this, we really cannot figure out what is value of x. Second statement says both x and y are same, still until we know the total price, we cannot figure out how many of each she would have bought. So, combining both statements only we can say that x = y = 10.

For the third question - consider the price of a Donut is D and price of Bagel is B. From first statement, 10D + 6B = 12.90, thereby, half of that, 5D + 3B should be half of 12.90, hence sufficient.

You must be very keen in reading and noting the parts of the question, both in PS and DS. Most cases, the flaw is evident right under the nose.
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 17 Feb 2010, 20:27
luminousmocha wrote:
#23
The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. did the profit exceed $4 million on sales of 380000 units?

(1) the profit exceeded $2 million on sales of 200000 units
(2) the profit exceeded $5 million on sales of 350000 units



answer: B

Got stuck on (2), what's a good strategy to solve this question?


#23. B

A. for 200K the profit exceeded $2 mil
=> for 380K the profit exceeded 380x2/200 = $3.8 mil
-- not sufficient

B. for 350K the profit exceeded $5 mil
=> for 380K the profit exceeded 380x5/350 = $5.428 mil
-- sufficient


Good strategy would be to solve to a close number instead of guessing. You dont have to actual solve the numbers to the dot but comparing ratios would be helpful

like for above question:
for A. for 200000 units you exceeded 2 mil -- so for every 100000 units you exceed a million and for 380000 you exceed 3.8 mil but you do not know if its above 4 mil

for B. for 350000 you got 5 mil then for 380000 you will get more than 5 mil.
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 17 Feb 2010, 20:33
luminousmocha wrote:
#123

Joana bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought only $4.40 worth of stamps
(2) she bought an equal number of $0.15 stamps and $0.29 stamps

answer: A


# 123. Ans is A

A. let 0.15 be x number and 0.29 be y

then,

0.15x + 0.29 y = 4.40
=> x= 4.40-0.29y/0.15

you can directly check for y=5,10,15,..

for y=5 x = 19.66 rule out since x is a fraction
for y=10, x = 10
for y=15, x = .33 rule out since x is a fraction

So, A is sufficient

B. 0.15x , 0.29x
=> But, we do not know the total

So, B is insufficient

Last edited by testprep2010 on 17 Feb 2010, 21:23, edited 1 time in total.
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 17 Feb 2010, 20:36
luminousmocha wrote:

#137
at a bakery, all donuts are price equally and all bagels are price equally. what is the total price of 5 donuts and 3 bagels at the bakery?

(1) at the bakery, the total price of 10 donuts and 6 bagels is $12.90
(2) at the bakery, the price of a donut is $0.15 less than the price of a bagel

answer: A


#137. Ans is A

5d + 3b = ?

A. 10d + 6b = 12.90
divide by 2
5d + 3b = 6.45

A is sufficient

B. d = b-0.15
But this does not help in getting the actual price.
So, insufficient.
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 17 Feb 2010, 21:24
alexBLR wrote:
testprep2010 wrote:
luminousmocha wrote:
#123

Joana bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought only $4.40 worth of stamps
(2) she bought an equal number of $0.15 stamps and $0.29 stamps

answer: A


# 123. Ans is D

A. let 0.15 be x number and 0.29 be y

then,

0.15x + 0.29 y = 4.40
=> x= 4.40-0.29y/0.15

you can directly check for y=5,10,15,..

for y=5 x = 19.66 rule out since x is a fraction
for y=10, x = 10
for y=15, x = .33 rule out since x is a fraction

So, A is sufficient

B. 0.15x + .29x = 4.40
=> .44x = 4.4
=> x=10

So, B is sufficient


The answer should be A as the only combination possible is 10 of $0.15 and 10 of 0.29 stamps (Statement 1 is suff). Statement 2 is insufficient as we don't know the total amount spent on the stamps.


Thanks for pointing out. I edited my post
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 18 Feb 2010, 03:06
testprep2010 wrote:
luminousmocha wrote:
#123

Joana bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought only $4.40 worth of stamps
(2) she bought an equal number of $0.15 stamps and $0.29 stamps

answer: A


# 123. Ans is A

A. let 0.15 be x number and 0.29 be y

then,

0.15x + 0.29 y = 4.40
=> x= 4.40-0.29y/0.15

you can directly check for y=5,10,15,..

for y=5 x = 19.66 rule out since x is a fraction
for y=10, x = 10
for y=15, x = .33 rule out since x is a fraction


So, A is sufficient

B. 0.15x , 0.29x
=> But, we do not know the total

So, B is insufficient


I understand the logic behind this but I don't understand why you only check y=5,10 or 15??
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Re: DS questions from the 12th eition Official Guide [#permalink] New post 18 Feb 2010, 06:06
nickk wrote:
testprep2010 wrote:
luminousmocha wrote:
#123

Joana bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought only $4.40 worth of stamps
(2) she bought an equal number of $0.15 stamps and $0.29 stamps

answer: A


# 123. Ans is A

A. let 0.15 be x number and 0.29 be y

then,

0.15x + 0.29 y = 4.40
=> x= 4.40-0.29y/0.15

you can directly check for y=5,10,15,..

for y=5 x = 19.66 rule out since x is a fraction
for y=10, x = 10
for y=15, x = .33 rule out since x is a fraction


So, A is sufficient

B. 0.15x , 0.29x
=> But, we do not know the total

So, B is insufficient


I understand the logic behind this but I don't understand why you only check y=5,10 or 15??


Nick, the only numbers that would give you a total cost of 0.29 stamps (with 5 or 0 being a last digit in decimal part) then multiplied by 0.29 is 5, 10, 15. If you choose any other number the total cost of stamps will not have a 0 as its last digit in the decimal part of 4.40. You don’t need to check for 20 as if we would have 20 stamps at $0.29, the total would be $5.80, which is higher than the total specified in the Statement 1. Therefore, the only choices you need to consider is 5, 10 and 15.
Re: DS questions from the 12th eition Official Guide   [#permalink] 18 Feb 2010, 06:06
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