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Profit percentage is (profit/cost)*100 If we can find profit and cost of one article, then we can get the profit percentage after selling one article. stmt-A=> we can get gain (or profit) of one article as 600/8 we already know selling price as 650. Now we can get cost price, which is (selling price...

by mathbyvemuri

Mon Jun 25, 2012 10:35 pm
Forum: Data Sufficiency
Topic: Profit Percentage
Replies: 2
Views: 1022

It's a problem on Arithmetic progressions. If the first term is A and last term is B in an increasing AP with common difference d, then the number of terms = {(B-A)/d}+1 Just consider a small example: 2,4,6,8,10 here common diff = 2 first term = 2 last term = 10 number of terms = (10-2)/2 + 1 = 5 No...

by mathbyvemuri

Mon Jun 11, 2012 10:08 pm
Forum: Problem Solving
Topic: What if the oldest child was 6 years old?
Replies: 2
Views: 978

To be divisible by 15, a number shall be divisible by both 3 and 5. stmt(1)=> sum of all digits = 7+11 = 18 => it's divisible by 3 but not sure about 5. Hence stmt(1) alone is not suff stmt(2)=> # must be 0 or 5 => the number 7*# is divisible by 5 and no hint about 3. Hence stmt(2) alone is not suff...

by mathbyvemuri

Sun Jun 10, 2012 4:53 am
Forum: Data Sufficiency
Topic: DS
Replies: 1
Views: 1517

1. internal angle a = 15
internal angle b = 180-80 = 100
ext angle c = int a+ int b = 115

2.90+x+x = 180 => x = 45

3.90+x+35 = 180 => x = 55

by mathbyvemuri

Sun Jun 10, 2012 4:45 am
Forum: Problem Solving
Topic: geometry
Replies: 1
Views: 942

1) Q+S = 180 => 5x = 180 => x = 36
2) angle ABD = angle CDE = 105
m = angle ABD + angle BDA = 105+30 = 135

by mathbyvemuri

Sun Jun 10, 2012 4:36 am
Forum: Problem Solving
Topic: geometry 3
Replies: 1
Views: 886

the algebraic formula here is: a^3-b^3 = (a-b)(a^2+ab+b^2) x^3-1 = (x-1)(x^2+x+1) statement(1): y = x^3-1, alone is not suff statement(2): y = x-1, alone is not suff considering both the statements, x^3-1 = x-1 =>(x-1)(x^2+x+1) = x-1 =>(x-1)(x^2+x+1-1)=0 =>(x-1)(x^2+x)=0 =>(x-1)x(x+1)=0 => x = 0,1,-...

by mathbyvemuri

Mon Jun 04, 2012 10:21 pm
Forum: Data Sufficiency
Topic: Equations
Replies: 2
Views: 900

7 is the reference point
for x=7, |x-3|+|x-4| = 4+3 = 7
And the inequality is valid for x = 7,6,5,4,3,2,1,0
for x = 0, |x-3|+|x-4| = 3+4 = 7
0 and 7 are the border values of the solution set.
Answer "C"

by mathbyvemuri

Mon Jun 04, 2012 10:15 pm
Forum: Problem Solving
Topic: number of solutions
Replies: 7
Views: 1786

eagleeye wrote:It is Rafa serving first. .

Let me know if this helps and if I got it right :)
hats off,you are right.

by mathbyvemuri

Sun Jun 03, 2012 11:33 am
Forum: Problem Solving
Topic: Vemuri's Brain Teaser-5
Replies: 2
Views: 1559

@sohoilmbaprep, did you get where I went wrong?
the final ratio is 4:50:400 and not 4:50:100
Then S:A:W = 4:50:400
and hence, A:W = 50:400 = 1:8
so for a 100 cc alcohol, there is 800 cc water

by mathbyvemuri

Sun Jun 03, 2012 11:26 am
Forum: Problem Solving
Topic: Ratio problem from OG13
Replies: 4
Views: 1255

S:A:W = 2:50:100
S:A is doubled => 4:50
S:W is halved => 1:100 which can also be written as 4:400
Final ratio of all three = 4:50:100
Ratio of alcohol to water is 50:100 = 1:2
a solution with 100cc of alcohol contains 200cc of water

by mathbyvemuri

Sun Jun 03, 2012 4:33 am
Forum: Problem Solving
Topic: Ratio problem from OG13
Replies: 4
Views: 1255

I would like to correct you. It is not necessary that it has to be me when connected to a conjunction FOr eg: Robert and I went for dinner last night--> Correct But the other rule is whenever followed by a preposition, we use me So You did not get me completely. In your example "Robert and I w...

by mathbyvemuri

Fri Jun 01, 2012 3:08 am
Forum: Sentence Correction
Topic: I and me
Replies: 8
Views: 2223

Vemuri's Brain Teaser-5

In tennis, service alternates for each game between the two players and the first player to win 6 games wins. A player winning 6-2 indicates that 8 games were played, of which the winning player won 6 and loosing player won 2. Rafa beat roger in a set of tennis, winning 6 games to Roger’s three. F...

by mathbyvemuri

Thu May 31, 2012 9:45 pm
Forum: Problem Solving
Topic: Vemuri's Brain Teaser-5
Replies: 2
Views: 1559

rule: when a pronoun is connected by a conjunction (and, or etc) with some other word in objective case (Robert in this case), it must also be in objective case (me in this case).
Answer "4"
Note: here Robert and me are of objective case and zoning board is of subjective case

by mathbyvemuri

Thu May 31, 2012 6:32 pm
Forum: Sentence Correction
Topic: I and me
Replies: 8
Views: 2223

One concept on inequality: This one is finding the range of variable x when an inequality with quadratic expression is given: If (x-a)(x-b)>0, then x<a and x>b for a<b or x<b and x>a for a>b If (x-a)(x-b)<0, then a<x<b for a<b or b<x<a for a>b getting the quadratic form into (x-a)(x-b) is the key he...

by mathbyvemuri

Thu May 31, 2012 8:08 am
Forum: Data Sufficiency
Topic: Concept of inequality
Replies: 2
Views: 1595

If there are m stations and train should stop at n stations such that no two stoppages are adjacent to each other, the formula here is: (m-2)Cn. In this case m = 12 and n = 4 So the answer shall be 10C4 = 210 Answer c The explanation for a similar type of problem is given here: http://mathbyvemuri.b...

by mathbyvemuri

Thu May 31, 2012 1:11 am
Forum: Problem Solving
Topic: Intermediate stations
Replies: 1
Views: 3295