Question

The price of 12 chairs or 28 stools is Rs 700. What is the value of 9 chairs and 12 stools?
A.Rs 725
B.Rs 825
C.Rs 875
D.Rs 800

Answer 1

Hint: Here in this question we have to note all the conditions and solve it to find the price of the single chair and single stool. So firstly we have to write down the equations given in the question and then by using that we will get the price of the single item of both types i.e. chair and stool. Then after that we will find the price of the said chairs and stool to get the total price.

Complete step-by-step answer:
It is given that the price of the 12 chairs or 28 stools is Rs 700. So now we have to use this to find out the price of each chair and price of each stool. Therefore, we get
Price of 12 chairs\[ = {\rm{Rs700}}\]
Therefore the price of one chair is \[{\rm{Rs}}\dfrac{{{\rm{700}}}}{{12}}\]
Similarly we will find the price of each stool. So, we get
Price of 28 stools\[ = {\rm{Rs700}}\]
Therefore the price of one chair is \[{\rm{Rs}}\dfrac{{{\rm{700}}}}{{28}}\]
Now we have to find the total price of 9 chairs and 12 stools. Therefore, we get
Total price of 9 chairs and 12 stools \[ = {\rm{Rs}}\left( {\dfrac{{{\rm{700}}}}{{12}} \times 9} \right){\rm{ + Rs}}\left( {\dfrac{{{\rm{700}}}}{{28}} \times 12} \right) = {\rm{Rs }}525 + {\rm{Rs 300 = Rs 825}}\]
Hence, Rs 825 is the total price of the 9 chairs and 12 stools.
So, option B is the correct option.

Note: Here we have to note down all the given information very carefully. In this type of question firstly we always have to find out the price of the unit item and then multiply it with the required number of items we will get the total price.
It is better to keep the price in the ratio form when the price is coming out in decimal form because otherwise the multiplication in the question will become complex but the final answer should not be in ratio form. Unit of the price i.e. Rs should be written with the answer.