Is the hunderdths of the decimal D greater than 5 ?
1.The tenths digit of 10D is 7 ?
2.The thousandths digit of D/10 is 7
 A grocer buys apples for 63$ per pound.if 10%of the apples go bad and he still wants to make a 20%profit over his purchase price ,what should be the sales price ?
A) 66
B) 70
C) 75
D) 77
E) 84
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- jameschanx
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Hi,
Question #1 Solution:
You can translate the question to D = a.bcdefg so on so forth, with "b" being the tenth, "c" being the hundredth, and "d" being the thousandth. The questions asks whether c > 5.
With Statement #1, by multiplying D by 10 you increase the number ten-fold, which gives you 10D = ab.cdefg
"c" is now the tenth digit of 10D, and is equal to 7 base on the statement, which is certainly greater than 5. SUFFICIENT
With statement #2, by dividing D by 10 you decrease the number ten-fold, which gives you D/10 = .abcdefg
"c" is now the thousands digit of D/10, and is equal to 7 base on the statement, which is certainly greater than 5. SUFFICIENT.
Answer is D.
------------------------------------
Question #2 Solution:
This is a good one to apply smart number.
Let's say the grocer bought 100 lbs of apple. He then have spent 63 dollars. he wants to make 20% profit, he will need to make 63*(120%) = 63*(1.2) = 75.6 dollars.
since 10% of the apple went bad. he only has 100*(90%) = 90 pounds of apply left to sell.
Total sales/total pounds = 75.6/90 = .84
Answer is E.
Question #1 Solution:
You can translate the question to D = a.bcdefg so on so forth, with "b" being the tenth, "c" being the hundredth, and "d" being the thousandth. The questions asks whether c > 5.
With Statement #1, by multiplying D by 10 you increase the number ten-fold, which gives you 10D = ab.cdefg
"c" is now the tenth digit of 10D, and is equal to 7 base on the statement, which is certainly greater than 5. SUFFICIENT
With statement #2, by dividing D by 10 you decrease the number ten-fold, which gives you D/10 = .abcdefg
"c" is now the thousands digit of D/10, and is equal to 7 base on the statement, which is certainly greater than 5. SUFFICIENT.
Answer is D.
------------------------------------
Question #2 Solution:
This is a good one to apply smart number.
Let's say the grocer bought 100 lbs of apple. He then have spent 63 dollars. he wants to make 20% profit, he will need to make 63*(120%) = 63*(1.2) = 75.6 dollars.
since 10% of the apple went bad. he only has 100*(90%) = 90 pounds of apply left to sell.
Total sales/total pounds = 75.6/90 = .84
Answer is E.
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Hi eumreem,
Both of these questions have been discussed in the Forums.
Here's the link to the DS question:
https://www.beatthegmat.com/digit-ds-que ... 80317.html
And here's the link to the PS question:
https://www.beatthegmat.com/percentage-t270397.html
In the future, you'll likely get more of a response if you post each question into the individual Forum that it's based on (the DS question in the DS Forum, the PS question in the PS Forum).
GMAT assassins aren't born, they're made,
Rich
Both of these questions have been discussed in the Forums.
Here's the link to the DS question:
https://www.beatthegmat.com/digit-ds-que ... 80317.html
And here's the link to the PS question:
https://www.beatthegmat.com/percentage-t270397.html
In the future, you'll likely get more of a response if you post each question into the individual Forum that it's based on (the DS question in the DS Forum, the PS question in the PS Forum).
GMAT assassins aren't born, they're made,
Rich
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Here's a similar question to practice with: https://www.beatthegmat.com/hundredth-digit-t280191.htmleumreem wrote:Is the hunderdths of the decimal D greater than 5 ?
1.The tenths digit of 10D is 7 ?
2.The thousandths digit of D/10 is 7
Cheers,
Brent