For company A, the amount profit earned in 1991 increased by

Here is my take on it.

It is probably wrong but, guys let me know what you think

20 < x < 40 (depending on initial shares of A and B profits)
1 < y < 20

if A is big then x and y are closer to 20, if B - x is closer to 40 and y is closer to 1

now, x - y > 0 so C and D are out

B is also out since x-y clearly can be greater than 2

E is fishy since it offers a constant relationship first, and x - y is clearly can be different from 1

A is left.

0<x-y<2 for me

take some examples and let's say the companies A and B began with the same amount : 100

91 total profit (X): (100*1.2+100*1.4) / 100+100 = 260/200= 30%
92 total profit (Y): 120*1.2+140*1.01) / 120+140 = 277.4/260= 6%

means X = 0.3 and Y=0.06
only solution 2 is possible

Hi Guys,

My answer is choice 1 i.e. x-y > 2

The way I will approach this problem is as follows.

Since this is a percentage question where we have no idea what A & B are we can safely assume A & B to be 100
1991 1992
A's increase 20 24 (20% of 120)

B's increase 40 1.4 (1% of 140)

Total x=60 y=25.4

Since x & y are percentages, we can divide the above by 100 to get the sum of percentage increase for each year.

Converting it x=0.60 y=0.254
to percentage

Therefore, x-y= 0.60 - 0.254=0.346 > 2. Hence x-y > 2. Hence choice 1 should be correct.

PA91=1.2PA90, PA92=1.2PA91=1.44PA90
PB91=1.4PB90, PB92=1.01PB91=1.414PB90

x=(PA91+PB91-PA90-PB90)/(PA90+PB90)=(0.2PA90+0.4PB90)/(PA90+PB90)
0.2<x<0.4
y=(PA92+PB92-PA91-PB91)/(PA91+PB91)=(0.2PA91+0.01PB91)/(PA91+PB91)
0.2>y>0.01

0<x-y<0.39

I'd say 2 is right.

I need a clarification. In standard English, when people say percentage does it mean 0.4 or 40 (%)?

40 percent = 40%=0.4

Question seems fuzzy , but I'll go with A.

Percentage, like in 40% ==> percentage is 40.

Awesome HongHu.

Though the maxima and minima of x and y are indeed correct. Just the means are sufficient to eliminate the rest and arrive at 2.

HMTG