Answer

Verified

374.7k+ views

**Hint**: The given question requires us to find a specific percentage of a given number. To solve this problem, we need to know how to write a number in percentage. We have to follow the method to find the percentage of the given number two times in order to get to the final answer. Such questions require accuracy in arithmetic.

**:**

__Complete step-by-step answer__Let’s consider the given problem. We have to find $ 0.15\% $ of $ 33\dfrac{1}{3}\% $ of $ Rs\,10,000 $ .

First let us assume $ 33\dfrac{1}{3}\% $ of $ Rs\,10,000 $ to be x.

So, we will have to first convert the mixed fraction percentage to improper fraction percentage in order to find the value of x.

Mixed fractions are those fractions that have an integral value along with the fraction consisting of the numerator and denominator.

The fraction \[\left( {33\dfrac{1}{3}} \right)\] is a mixed fraction.

A mixed fraction $ \left( {x\dfrac{a}{b}} \right) $ can also be represented as $ \left( {\dfrac{{xb + a}}{b}} \right) $ .

So, we can convert the mixed fraction \[\left( {33\dfrac{1}{3}} \right)\] into improper fraction as \[\left( {\dfrac{{33 \times 3 + 1}}{3}} \right) = \dfrac{{100}}{3}\].

So, now we have to calculate $ \dfrac{{100}}{3}\% $ of $ Rs\,10,000 $ in order to find the value of x.

So, we get, $ x = \dfrac{{100}}{3}\% $ of $ Rs\,10,000 $

Then, $ x = \dfrac{{100}}{{300}} \times Rs\,10,000 $ .

Now, cancelling the common factors in numerator and denominator, we get,

$ \Rightarrow x = \dfrac{1}{3} \times Rs\,10,000 = Rs\dfrac{{\,10,000}}{3} $

So, we get the value of x as $ Rs\dfrac{{\,10,000}}{3} $ .

Now, we have to find $ 0.15\% $ of $ x = Rs\dfrac{{\,10,000}}{3} $ .

Let us assume y to be $ 0.15\% $ of $ Rs\dfrac{{\,10,000}}{3} $

So, we get, $ y = 0.15\% $ of $ Rs\dfrac{{\,10,000}}{3} $ .

$ \Rightarrow y = \dfrac{{0.15}}{{100}} \times Rs\,\dfrac{{10,000}}{3} $

Simplifying the expression, we get,

$ \Rightarrow y = \dfrac{{15}}{{10,000}} \times Rs\,\dfrac{{10,000}}{3} $

Cancelling the common factors in numerator and denominator, we get,

$ \Rightarrow y = Rs\,5 $

Hence, we get the value of $ 0.15\% $ of $ 33\dfrac{1}{3}\% $ of $ Rs\,10,000 $ as $ Rs\,5 $ .

Hence, option (B) is correct.

**So, the correct answer is “Option B”.**

**Note**: It is better to workout with the above-mentioned method and after solving a number of problems in this model, one can consider the method involving the unitary method. Solving problems by the unitary method needs better understanding in the concept of percentage. While solving such a problem using a unitary method, we consider the given number as $ 100\% $ of itself and then find out the desired percentage of the number. Work as many problems as possible to crack these types of problems in a limited time period.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE