Answer

Verified

429k+ views

**Hint:**We assume the price of chair as a variable and use the relation given in the question to write the price of table in terms of price of chair. Form an equation for number of items multiplied with the initial amount of item and write sum from tables and chair and equate with given amount. Calculate the value of the variable. Use a method of percentage to calculate percentage of price of chair.

* Percentage of a particular item with respect to another item is given by dividing the value of that item by the value of another item and multiplying by 100.

**Complete answer:**

Let us assume price of chair as ‘x’

Then we are given that the price of a table is Rs.400 more than that of a chair

So, price of table \[ = x + 400\]

Now we are given that there are 6 tables and 6 chairs, they together have price Rs.4800

We form an equation where we add the product of price of a chair with 6 chairs and price of a table with 6 tables and equate that sum to Rs.4800

\[ \Rightarrow x \times 6 + (x + 400) \times 6 = 4800\]

Since we can write \[4800 = 6 \times 800\]

\[ \Rightarrow x \times 6 + (x + 400) \times 6 = 6 \times 800\]

Cancel same factors i.e. 6 from both sides of the equation

\[ \Rightarrow x + x + 400 = 800\]

Shift all constant values to RHS of the equation

\[ \Rightarrow 2x = 800 - 400\]

\[ \Rightarrow 2x = 400\]

Cancel same factors i.e. 2 from both sides of the equation

\[ \Rightarrow x = 200\]

So, the price of 1 chair is Rs.200

Also, we know price of a table \[ = 200 + 400\] i.e. 600

So, the price of 1 table is Rs.600

Now we have to calculate by what percentage is the price of the chair less than that of the table.

So, we have to calculate the percentage of price by which the chair is less than the table.

\[ \Rightarrow \]Percentage \[ = \left( {\dfrac{{200}}{{600}} \times 100} \right)\% \]

Cancel same factors from numerator and denominator

\[ \Rightarrow \]Percentage \[ = \left( {\dfrac{1}{3} \times 100} \right)\% \]

Convert division of 100 by 3 into mixed fraction where 33 is quotient, 3 is divisor and 1 is the remainder

\[ \Rightarrow \]Percentage \[ = 33\dfrac{1}{3}\% \]

**\[\therefore \]Correct option is A.**

**Note:**

Many students are likely to get confused when calculating the percentage as they tend to take the sum of prices of both table and chairs in the denominator, keep in mind we take that term in denominator to whose comparison we are making, in this case we want to see what percent is price of chair less than price of table so price of table will be in denominator.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science 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

Give 10 examples for herbs , shrubs , climbers , creepers

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

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

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

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

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE