Don’t lose your progress!

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Up to 90+ points GMAT score improvement guarantee

The best guarantee you’ll find

Our Premium and Ultimate plans guarantee up to 90+ points score increase or your money back.

Master each section of the test

Comprehensive GMAT prep

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Schedule-free studying

Learn on the go

Study whenever and wherever you want with our iOS and Android mobile apps.

The most effective way to study

Personalized GMAT prep, just for you!

Adaptive learning technology focuses on your academic weaknesses.

Percents: Percent Translation

Thirty percent of forty percent of fifty is sixty percent of what percent of two hundred?
Incorrect. [[snippet]] You must have missed a zero somewhere along the way.
Incorrect. [[snippet]] You must have missed a zero somewhere along the way.
**Solve the resulting equation**: The 50 on the left side cancels with the factors of 10 and 5 in the denominator. That results in: > $$\displaystyle \frac{3}{10}\cdot\frac{2}{5}\cdot50 = \frac{3}{5}\cdot 2x$$ > $$\displaystyle 6 = \frac{6x}{5}$$ Multiplying by 5 and dividing by 6 gives $$5 = x$$. That is, of course 5%.
Incorrect. [[snippet]] Your equation should look like this: $$\displaystyle\frac{30}{100}\cdot\frac{40}{100}\cdot 50 = \frac{60}{100}\cdot\frac{x}{100} \cdot 200$$ The rest is reducing and combining fractions.
Incorrect. [[snippet]] You must have missed a zero somewhere along the way.
Correct. [[snippet]] Translate: Use the percent language to translate the question, "Thirty percent of forty percent of fifty is sixty percent of what percent of two hundred". > $$\displaystyle 30\% \mbox{ of } 40\% \mbox{ of } 50 = 60\% \mbox{ of } x\% \mbox{ of }200$$ > $$\displaystyle\frac{30}{100}\cdot\frac{40}{100}\cdot 50 = \frac{60}{100}\cdot\frac{x}{100} \cdot 200$$ Reduce the fractions: When you reduce the fraction, you get $$\frac{30}{100} = \frac{3}{10}$$, $$\frac{40}{100} = \frac{2}{5}$$, $$\frac{60}{100} = \frac{3}{5}$$. On the right side, the 200 reduces with the 100 in the denominator to give 2. > $$\displaystyle \frac{3}{10}\cdot\frac{2}{5}\cdot50 = \frac{3}{5}\cdot 2x$$
0.5%
1%
5%
50%
500%
Continue