Question

What percent of Rs. 150 is Rs.30?
A.5%
B.20%
C.30%
D.45%

Answer 1

Hint- In this question, first we will see the definition of percentage and then use the definition and concept of unitary method to find the percentage of Rs.30 of the total amount Rs.150. Percentage is equal to or less than 100%.

Complete step-by-step answer:
First of all we will see the definition of percentage.
Percentage is defined as a number or a ratio which is expressed as a fraction of 100.
It is denoted using the sign % or sometimes abbreviated as ‘pct’.
In the question, the total amount is given as Rs.150.
And the part of amount is given as Rs.30
And we have to find the percentage of Rs.30.
We will solve this problem by unitary method.
We know that in percentage the amount is expressed as a part of 100.
So, using this concept, we can write:
Out of Rs.150, we have amount = Rs.30
Similarly,
Out of Rs.100, we have amount = $\left( {\dfrac{{30}}{{150}} \times 100} \right)$
                                                    = 20
Therefore, 20 percent of Rs. 150 is Rs.30.
so, option B is correct.

Note: In percentage there are basically two types of questions. In first type, we have to calculate x% of some given amount and in second type, we have to find what percent is the given amount of the total amount. This question can also be solved by expressing the given amount as the ratio of total amount and then multiply the ratio by 100. Percentage is a dimensionless quantity.