[GMAT math practice question]
X is proportional to Y. If Y is increased by 30%, by approximately what percent is X^2 increased?
A. 30%
B. 40%
C. 50%
D. 60%
E. 70%
X is proportional to Y. If Y is increased by 30%,
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- Max@Math Revolution
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y becomes 100 to 130Max@Math Revolution wrote:[GMAT math practice question]
X is proportional to Y. If Y is increased by 30%, by approximately what percent is X^2 increased?
A. 30%
B. 40%
C. 50%
D. 60%
E. 70%
so y^2 becomes y^2 to 1.69y^2 i.e. Increase of 69%
ANswer: OPtion E
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=>
X = kY for some k.
Since ,
$$(1.3kY)^2=1.69k^2Y^2=1.69(kY)^2=1.69X^2$$
we have
$$\frac{\left(1.69X^2-X^2\right)}{X^2}=0.69$$
which is approximately 70%.
Therefore, the answer is E.
Answer: E
X = kY for some k.
Since ,
$$(1.3kY)^2=1.69k^2Y^2=1.69(kY)^2=1.69X^2$$
we have
$$\frac{\left(1.69X^2-X^2\right)}{X^2}=0.69$$
which is approximately 70%.
Therefore, the answer is E.
Answer: E
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