Question

The cost of 18 chairs is Rs. 22770. How many such chairs can be bought for Rs. 10120?

Answer 1

Hint: We first try to find the price of 1 chair using a unitary method. We don’t need to convert the units. Then we find the total number of chairs we can have for the price of 10120 by dividing 10120 by the unitary value.

Complete step-by-step solution
The cost of 18 chairs is Rs. 22770. We need to find the cost price of 1 chair.
We are going to use a unitary method to find a solution to the problem.
We divide 22770 by 18 to find the unitary value for 1 chair.
Cost price of 1 chair will be \[\dfrac{22770}{18}=1265\] Rs.
Now to find the total number of chairs we can have for the price of 10120; we will divide 10120 by the unitary value of 1265.
So, the number of chairs will be \[\dfrac{10120}{1265}=8\].
Therefore, the number of chairs will be 8.

Note: We also can use variables to find the solution. We assume that we can buy x chairs for Rs. 10120. Now we can buy 1 chair for 1265 Rs. So, 10120 is required for x number of chairs. So, we equate \[\dfrac{10120}{x}=1265=\dfrac{22770}{18}\] which gives us \[x=\dfrac{10120}{1265}=8\].