Question

What is $$15$$ percent of Rs. $$34$$.?
A) Rs. $$3.40$$
B) Rs. $$3.75$$
C) Rs. $$4.50$$
D) Rs. $$5.10$$

Answer 1

Hint: Here in this question, we have to find the number $$15\% $$ Rs. $$34$$. For finding this we have two methods: firstly, percentage simplification, for this we have to write the given percentage term into fraction form and multiply this fraction with $$34$$ using the arithmetic operation and another method to calculate by direct proportion. On simplification we get the required solution.

Complete step by step answer:
Consider the data in given question
$$15\% $$ of Rs. $$34$$.
Method 1:
we need to calculate the number $$15\% $$ of Rs. $$34$$ for this.
Firstly, we have to write the percentage term i.e., $$15\% $$ in to the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore $$15\% $$ can be written as:
$$ \Rightarrow \,\dfrac{{15}}{{100}}$$
When dealing with percent’s the word "of" means "times" or "to multiply".
Let’s consider the Resultant value i.e., number of $$15\% $$ in Rs. $$34$$ as $$x$$Rs.
Putting this altogether we can write this equation and solve for $$x$$ while keeping the equation balanced:
$$ \Rightarrow \,\,x = \dfrac{{15}}{{100}} \times 34$$
$$ \Rightarrow \,\,x = 0.15 \times 34$$
On simplification, we get
$$\therefore \,\,x = 5.10$$
Therefore, the number $$15\% $$ of Rs. $$34$$ is Rs. $$5.10$$.

Method 2:
This can also be calculated by a direct proportion.
$$15\% $$ of Rs.$$34$$= $$x$$Rs.
If $$34$$ represents $$100\% $$, what value represents $$15\% $$.
$$ \Rightarrow \,\,\dfrac{{15}}{{100}} = \dfrac{x}{{34}}$$
On cross multiplication, we have
$$ \Rightarrow \,\,15 \times 34 = x \times 100$$
$$ \Rightarrow \,\,510 = x100$$
Divide both side by 100, then
$$ \Rightarrow \,\,x = \dfrac{{510}}{{100}}$$
$$\therefore \,\,x = 5.10$$
Hence, by both methods we get the same answer i.e., $$15\% $$ of Rs. $$34$$ is Rs. $$5.10$$.
Therefore option (D) is the correct answer.

Note:
Here the question is related to the percentage. By using the specific methods and rules we can convert the number. As we know that the percentage term is written as $$x\% = \dfrac{x}{{100}}$$ , here, marked $$x$$ as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.