A Nice Algebra Problem with percentages!

Converting from percentages to decimals and vice versa.

[steveelliott]

The answer is 10. Not 10 percent but just 10. It's a ratio. You can convert the 10 into a percentage and get 1000% but the question doesn't ask you to give the answer as a percentage. The answer is just 10. If the question said 500m / 50m then the answer is still 10. A ratio.

[Ramkabharosa]

A nice trick-question, Devi-ji. By definition, a% = (a/100), that's why
the "/" and the two little "₀" are there. So, 5% of 40 = (5/100)×40 = 2
and (500%)/(50%) = (500/100)/(50/100) = 10 = (1000/100) = 1000%.
.

[thesammm]

The answer has all in % ages. Therefore it's imperative to convert the ratio back into %age format. Hence 10×100=1000%

[dimitristasikas]

500%=500/100=5
50%=50/100=0.5
So...
500% / 50% = 5/0.5 =10 = 1000%
Explanation:
500% of something means 5 times itself.
50% of something means a half of itself.
That's why 1000% in terms of percentage is equivalent to 10
because 1000% means 10 times something.

[jan-willemreens]

... In words 500%/50% means 500% per 50% is equal to a 1000% per 100% (proportional), so answer (D) is correct ...

[syedhassan]

That's right, a lot of her tricks don't work on all questions.

[Knoskov]

Dear LKLogic, thank you very much for your videos. If it is possible for you, please be so kind to increase number of % tasks, explanations. Around 70% of whole population can't calculate percentage :) and your videos will be helpful.