In a three digit number, the digit in the unit's place is four times the digit in the hundreds place. If the digits in the unit place and tens place are interchanged, the new number formed is 18 more than the original number. If the digit in the hundreds place is one third of the digit in the tens place, what is 25% of the original number?

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answer is A.

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Detailed Solution

Concept- We will use the 3-digit number

to solve the problem, where x, y and z stands for the hundreds, tens and ones digit places, respectively. We will then make all possible equations from the stated conditions, after which we will locate the number to determine its 25% and get the solution.
Let x is the digit in the ten’s place.
Then, the digit in the hundreds place

And digit in the unit’s place

The original number:
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It is given that
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By substituting the value of x in the original number, we get
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Hence, the correct answer is option 1.

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