grefighter888 wrote:
Carcass wrote:
I ma not quite sure I got what you mean sir.
However, an again
We have A and B
because B is three times than A we have A and 3B
Put the two quantity =
A=3B
(The above according to the stem and translating it into math)
Now, fast forward 4 years we have
A+4 (4 years more)
and 3B+4 (for years more)
Now we have the same equation but after four years
So
A=3B
A+4=2(B+4)
According always to the stem.
Today the price of Adam’s plot is twice the price of Ben’s plot. which is after 4 year
Because A=3B we can substitute in the second equation
3B+4=2(B+4)
3B+4=2B+8
3B-2B=8-4
B=4
A=3B
A=3*4
A=12
Now
A= 12 and B =4 they were 4 years ago
Now after 4 years
A=12+4=16
B=4+4=8
--------------------------- Percent Change-----------------
A was 12 and after 4 years is 16
% change is 4/12=1/3 actually is 33% (be agile with your mind)
B was 4 and now is 8 so is double than that and this a 100% increase
A increased by 33% just
B is the answer
Thank you for you reply. Let me show what I had to clarify
4 years ago
Let Adam's plot's price = A
Let Ben's plot's price = B
Then A = 3B (as Adam bought a plot for an amount which was 3 times than Ben's)
Now (as we don't now if the prices changed or not, so annotate another varieble)
Let Adam's plot's price = X
Let Ben's plot's price = Y
Then X=2Y (as today the price of Adam’s plot is twice the price of Ben’s plot.)
%change Adam = (X-A)/A *100
%change Ben = (Y-B)/B *100
and I stuck here.
also, back to the first question, I cannot warp my head around how can we directly + 4 into A and B as in A=3B become A+4 = 2(B+4)
as they are the price like let's say it xx$ = A and yy$ = B; how can we just have xx$ + 4 years = 2(yy$ + 4 years)
Hope this can clarify my point. Thank you so much in advance for helping out
Yes, I agree with your point. I don't think we can just add 4 years to the price. If they would have been ages, Yes. But not to price.
Also, there is no way to know that price of both the plot increased over time.
FOr eg. If B=100 then A = 300 & Y=200 then X=400
So, Percent change for Adam = (400-300)/300*100 = 33.33%
Percent change for Ben = (200-100)/100*100 = 100%
In this case (B)>(A)
But if Y=50 then X=100
Therefore, Percentage change (-ve) for Adam becomes = (300-100)/300*100= 66.66%
And percentage change (-ve) for Ben = (100-50)/100*100 = 50%
in this case (A)>(B)
Therefore answer should be Option D