DS GMATprep
Hi,
Very trivial question but not able to figure it out.
If it is given that
Rm>Em
Ra>Ea
and
Rm-Em = (.94Ra) – (.96Ea)
Then how to conclude Ra-Ea > Rm-Em
I know plugging values shows the same but i am looking for algebraic approach for the same. Tx
Rm-Em = (.94Ra) – (.96Ea)
Rm-Em = ((1-0.06)Ra)-((1-0.04)Ea)
Rm-Em = (Ra-Ea)- (0.06Ra-0.04Ea)
Since Ra>Ea means that (0.06Ra-0.04Ea) is positive
Thus Ra-Ea>Rm-Em since Rm-Em = (Ra-Ea)-some positive value
Hi Nitesh,
Plugging in would be apt here but now I think you got the algebra part as well.
@asokan: Nicely explained.