Question

Find out 5 % of which number is 12?

Answer 1

Hint: Asked the percentage of a number. First assume a variable to unknown number. By using percentage definition on the variable assumed, find a single variable equation in the assumed variable. Now do cross multiplication. After this step you have a variable only on the left hand side. So, find the coefficient of the variable on the left hand side. Divide with this coefficient on both sides of the equation. After this step, the value of constant on the right hand side will be the value of the variable. The value of the variable is the required result.

Complete step-by-step answer:

Numbers:
A number is a mathematical object or thought which is used in the process of counting, measuring and representing. Types of numbers possible are Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers.
Percentage:
Percentage is also said to be the number of parts out of 100. So, k percentage of a number implies that k multiplied by the number divided by 100.
Given expression in the question is 5% of the number is 12.
Let the required number be assumed to be k.
5% of k = 12
By definition of percentage, the equation gets converted to,
\[\dfrac{5\times k}{100}=16\]
By cross multiplying the above equation, we get the equation in k as:
5k = 1600
By dividing 5 on both sides of above equation, we get the value as:
\[k=\dfrac{1600}{5}\]
By simplifying the equation, we get:
k = 240
Therefore, the value of 5% of 240 is 12.

Note: Use the percentage definition properly as it is the crucial step in the solution. After finding relation in k instead of cross multiplication you can divide 5 by 100 and write it as 0.05, in this case you must divide with 0.05 on both sides. Anyways you will get the same result.