Question

5 computer set cost Rs.85000. Find the cost of 12 computer sets.

Answer 1

Hint: We are given the cost of 5 computer sets. We have to find the cost of 12 computer sets. We will use the unitary method here. We use the cost of 5 computers as 8500 to get the cost of 1 computer set. Once, we have the cost of 1 computer set, we will use it to find the cost of 12 computer sets. We took the cost of 1 computer set as x, so the cost of 5 computers will be 5x as we use $5x=8500$ to solve further.

Complete step by step answer:
We are given the cost of 5 computers as 8500 while we are asked to find the cost of 12 computer sets.
Here, we use the method known as the unitary method. In this method, we have to find the cost of per unit for any item, then using that unit price we will find the cost of any given number of units.
The cost of the unit means the cost price of 1 item.
Unitary stands for the unit item, we find the cost of 1 item and then use it to find the cost of any number of items.
To find the cost of a unit item or say 1 item, we will first see how the price is given.
We are given that, cost of 5 computer unit is given as 8500.
If the cost of 1 unit is considered as x. So, the cost of 5 units will be 5x.
So, we get \[5x=8500\]
Now, we divide both side by 5 we get:
\[\dfrac{5x}{5}=\dfrac{8500}{5}\]
So, we get: \[x=1700\]
So, the cost of 1 computer set is 1700.
Now, we are asked to find the cost of 12 such computer set.
The computer is the same, so the cost of each computer must be the same.
So, the cost of 12 such computers will be 12 times the cost of 1 computer.
Cost of 12 computer unit $\Rightarrow 12\times x$
As x is 1700 so,
Cost of 12 computer \[\Rightarrow 12\times 1700\]
On solving we get:
Cost of 12 computer \[\Rightarrow \text{2}0\text{4}00\]
So, we get a solution as Rs.20400

Note:
We can use the unitary method in all cases, if we have the cost of more items and we want to find the cost of every item, we can use the unitary method.
As cost of 1 item is x, cost of 5 item will be $\text{x}+\text{x}+\text{x}+\text{x}+\text{x}$ that gives us 5x.
So in general, if the cost of 1 item is x then the cost of n item will be nx.