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27 Jan 2011, 09:30
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B
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Difficulty:
45%
(medium)
Question Stats:
70% (02:21) correct
30%
(02:26)
wrong
based on 602
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Whenever Sally takes a cab and the fare is between $15 and $65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between $15 and $65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill?
(1) The amount of the fare was between $17 and $40.
(2) Sally calculated a tip of $3.
Q2.JPG [ 23.69 KiB | Viewed 9342 times ]
(1) The amount of the fare was between $17 and $40.
(2) Sally calculated a tip of $3.
Attachment:
Q2.JPG [ 23.69 KiB | Viewed 9342 times ]
27 Jan 2011, 10:15
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Whenever Sally takes a cab and the fare is between $15 and $65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between $15 and $65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill?
You can solve this question with algebra but I think simple analysis would be better.
(1) The amount of the fare was between $17 and $40 --> 17<fare<40. Now if the fair was 20$ then the tip would be 3*2=$6 (3 times tens digit) so more than 0.25*20=$5 (25% of the fare) but if the fare was 28$ then the tip would still be 3*2=$6 but in this case less than 0.25*28=$7. Not sufficient.
(2) Sally calculated a tip of $3 --> tip=$3 means that: 15<fare<20 (so that the tens digit of the fare to be 1). Now, even if the fare was exactly $15 (lowest limit), 25% of it would be 0.25*15=$3.75 and it's still greater than $3. So the answer to the question is NO: the tip (3$) was not greater than 25% of the fare. Sufficient.
Answer: B.
For percents check: math-number-theory-percents-91708.html or math-number-theory-88376.html
You can solve this question with algebra but I think simple analysis would be better.
(1) The amount of the fare was between $17 and $40 --> 17<fare<40. Now if the fair was 20$ then the tip would be 3*2=$6 (3 times tens digit) so more than 0.25*20=$5 (25% of the fare) but if the fare was 28$ then the tip would still be 3*2=$6 but in this case less than 0.25*28=$7. Not sufficient.
(2) Sally calculated a tip of $3 --> tip=$3 means that: 15<fare<20 (so that the tens digit of the fare to be 1). Now, even if the fare was exactly $15 (lowest limit), 25% of it would be 0.25*15=$3.75 and it's still greater than $3. So the answer to the question is NO: the tip (3$) was not greater than 25% of the fare. Sufficient.
Answer: B.
For percents check: math-number-theory-percents-91708.html or math-number-theory-88376.html
General Discussion
28 Jan 2011, 00:43
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SoniaSaini
Hi,
Percent, as the name suggests, is PER CENT ==> /100
e.g 10 percent of 30 ==> (10/100)*30 = 3
hence you can always rplace PERCENT word with /100.
Letz try this.
20 percent of the price of a computer is $6000. What is the actual price of the computer
(20/100) * (the actual price) = 6000
==> The actual price = 6000*100 / 20 = 30000
Now, as you can infer from above, x % of 100 is always x
now, it is very useful to grasp the below stated concepts.
x % of a +ve # that is < 100 is always < x
x % of a +ve # that is > 100 is always > x
10 % of 100 is 10
10 % of 80 is 8 i.e. < 10
10 % of 450 is 45 i.e. > 10
Also remember,
25 percent of x ==> 25/100 of x ==> 1/4 rth of x ==> quarter of x
50 percent of x ==> 50/100 of x ==> 1/2 of x ==> half of x
75 percent of x ==> 75/100 of x ==> 3/4 rth of x ==> 3 quarter of x
100 percent of x ==> 100/100 of x ==> x ==> total x
letz try this.
you have $250 and you get 20 percent intrest on your amount. What is the intrest amount.
letz solve it Using percent meaning:
20% ==> 20 per cent ==> 20 per 100 ==> it means you get $20 for every $100 you have
==> 250 = 100+100+50
==> youget 20+20+10 = 50
formula:
(20/100)*250 = 50
Al the above concepts are very very very basic things in the percent world.
Follow the link, posted by Bunuel, to get more into it.
Remember: THE MORE YOU KNOW ABT PERCENTAGES, THE MORE INTERESTING THEY ARE.
Regards,
Murali.
kudos?
murali.lawson@gmail.com
