80%÷10% = ?% The answer is not 8. Only for smart ones! American Math Olympiad #percentage #logicalstation #fastandeasymaths #maths #mathproblem #mathspuzzle

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Transcript

00:00Welcome everyone. So yes, a lot of people thought that the answer for this question is supposed to be 8.

00:05Because 80% divided by 10% the answer is 8, correct?

00:09But no, that is not right.

00:10See, when you have percentage, you can convert them into fraction by dividing 80 by 100.

00:18Now we had 80% which can be written as 80 upon 100 divided by 10% which is 10 upon 100.

00:27Now when we want to do division of fractions, we need to follow the rule of KCF.

00:32Where KA stands for keeping the first number as it is.

00:36C stands for changing the division sign to multiplication.

00:40F stands for flipping or taking reciprocal of 10 upon 100 which is 100 upon 10.

00:45So this and this gets cancelled. This is 1s are and 8s are.

00:48So yes, you are right. The answer is what this one is supposed to be 8.

00:52But since then we are looking for an answer in terms of percentage,

00:55you need to realize when the percent was given, you divided by 100.

00:58Now they have given us a number.

01:00When they have given us a number and you want to go back to percentage,

01:03you need to multiply by 100, correct?

01:06So this will get multiplied by 100.

01:08So answer for this question is supposed to be 800%.

01:12I hope this is very very clear to everyone.

01:16That's it for today.

01:17I will see you in the next video.

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