if m 0 and x is m percent of y then in terms of m y is what percent of x

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Last Updated on May 4, 2023

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Solution:

To solve we want to first create a word translation from the information in the problem stem. We are given that x is m percent of y. We can express this as:

x = (m/100)y

x = my/100

We are next asked, in terms of m, y is what percent of x? This can be expressed as:

y/x * 100 = ?

We need to manipulate our first equation until we isolate y/x.

x = my/100

Multiplying the entire equation by 100 we have:

100x = my

Then divide both sides by x:

100 = my/x

Then divide both sides by m:

100/m = y/x

The final step is to multiply both sides of the equation by 100.

100/m * 100 = y/x * 100

10,000/m = y/x * 100

Answer: E

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Scott Woodbury-Stewart is the founder & CEO of Target Test Prep. A passionate teacher who is deeply invested in the success of his students, Scott began his career teaching physics, chemistry, math, and biology. Since then, he has spent more than a decade helping students gain entry into the world’s top business schools, logging 10,000+ hours of GMAT, EA, GRE and SAT instruction. Scott also served as lead content developer and curriculum architect for the revolutionary courses Target Test Prep GMAT, Target Test Prep EA, Target Test Prep GRE and Target Test Prep SAT Quant.