Question

99 paise is how much rupees?
(A) $0.099$
(B) $9.9$
(C) $0.99$
(D) $\text{None of the above}$

Answer 1

Hint: Solve this question we need to know the conversation of a number in percentage and thereafter into decimal. This question asks us to change the amount from paise to rupees. The concept required here is that $\text{1Rupee = 100 Paise}$. Using this concept we will convert the paise into fraction and then change the fraction into decimal.

Complete step by step answer:
We are given $99$ paise which needs to be converted into a fraction firstly. The formula used here is $\text{1Rupee = 100 Paise}$ , which could also be written as:
$\Rightarrow \text{1 Paise = }\dfrac{1}{100}\text{Rupees}$
So on putting the values in formula which is given to us as $99$ paise and solving this, we get:
The fraction will be multiplied by $100$, to find the value in percentage
$\Rightarrow 99\text{ Paise = }\dfrac{1}{100}\times \text{99 Rupees}$
On calculating it further we get:
$\Rightarrow \dfrac{99}{100}\text{Rupees}$
The next step is to change the rupees into decimal form from fractional form. A fraction having denominator as ${{10}^{n}}$ where $n$ is a natural number is converted into decimal number by putting the decimal point at the ${{n}^{th}}$ place of the digits in numerator from right. Applying the above explanation we get:
$\Rightarrow \dfrac{99}{{{10}^{2}}}\text{Rupees}$
Here, the value of $n$ is $2$, the decimal number becomes:
$\Rightarrow 0.9\text{9 Rupees}$

So, the correct answer is “Option C”.

Note: We can even check that the conversion is correct or not. For doing this we will have to multiply the amount in rupees to $100$ , as the relation between rupees and paise is $\text{1Rupee = 100 Paise}$. The answer we got is $0.9\text{9 Rupees}$, converting it into paise we get:
$\Rightarrow 0.9\text{9}\times \text{100 paise}$
$\Rightarrow 9\text{9 paise}$
Since the amount in paise is the same as that given in the question, the answer we got is correct.