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how to solve these problems

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by eumreem » Mon Dec 29, 2014 12:49 pm
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
these questions from the gmat avengers guide
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by jameschanx » Mon Dec 29, 2014 11:57 pm
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.
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by [email protected] » Tue Dec 30, 2014 9:40 am
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).

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by Brent@GMATPrepNow » Tue Dec 30, 2014 10:20 am
eumreem 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
Here's a similar question to practice with: https://www.beatthegmat.com/hundredth-digit-t280191.html

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by iwgi » Mon Apr 20, 2015 1:08 am
Here is short soln:
The final percentage the seller will make of original spend will be 120%.

Applying formula :
final % = final price / original price

Original Price = 63/90*100

120/100 = fp / (63/90*100)
fp = 84
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