Question

What percent of Rs.4500 is Rs.9000?
(a) 200
(b) $\dfrac{1}{2}$
(c) 2
(d) 50

Answer 1

Hint: In this question, we have to find that percentage of Rs.4500 which gives us Rs.9000 in result. For this, we have to assume that percent to be ‘x’. Further in this question, we will be reducing the fractions into simplest form in order to obtain the percentage.

Complete step by step solution:
Let’s discuss the solution for the above question.
As we all know that percentage can be expressed as the fraction with a denominator as 100. Which can also be written with a ‘%’ symbol instead of using a 100 as a denominator. For example: 30% can also be expressed as $\dfrac{30}{100}$ which means that the value of % symbol is $\dfrac{1}{100}$. For this question above, we will let the percentage be ‘x’. Now, this percent when multiplied to Rs.4500, it will give us Rs.9000. So will form an equation in order to find x.
$\Rightarrow x\%\times 4500=9000$
Which can also be written as:
$\Rightarrow \dfrac{x}{100}\times 4500=9000$
Now, can the zeros in numerator and denominator on the left hand side:
$\Rightarrow $ x $\times $ 45 = 9000
Take 45 on the other side:
$\Rightarrow x=\dfrac{9000}{45}$
Now reduce the fraction and obtain the value of ‘x’.
$\therefore $ x = 200

So, the correct answer is “Option a”.

Note: When you read the question, please try to understand the language of the question. It is asked that “what percent of Rs.4500”, here ‘of’ directly conveys a simple meaning of product. The percent is a product of 4500. In this way interpret the words. Apart from this, you should also know how to reduce the fraction in simplest form.