Question

George bought a computer for Rs. 45,000 and paid a sales tax of 25%. How much did he pay for the computer?

Answer 1

Hint: Here, we have the computer cost and the sales tax in percentage, first we will find the value of sales tax in rupees and then we will add the sales tax in rupees to the original computer cost to find the required value.

Complete step by step answer:
Here, we have the computer that George bought for Rs. 45,000 and he also paid an extra of 25% of the total price of the computer. So now, we have to find out how much did George have to pay in total to purchase the computer.
First, we will write the given values, we have
Computer cost = Rs. 45,000
Sales Tax = 25%
Next, we will find how much is 25% of Rs. 45,000 which is the sales tax.
To find the sales tax, we will use the formula of percentage, Percentage = (Value / Total Value) x 100
Here, according to the formula we have the total value and the percentage, we need to find out the value, which we will be considering as $x$.
Now,
$%=\dfrac{x}{T}\times 100$, here, % indicates the percentage, T indicates the total value and $x$ indicates the value which we have to find.
$25=\dfrac{x}{45000}\times 100$
$25=\dfrac{x}{450}\times 1$
$25\times 450=x$
Therefore, $x=11250$
Hence, the value of the sales tax which is 25% of the total value of the computer is Rs. 11,250.
Now, to find the total amount George payed to purchase the computer, we just need to add the sales tax value and the total value, we get
Total amount George spent = Computer Cost + Sales Tax
                                                  = 45000 + 11250
                                                  = 56250
Hence, George paid an amount of Rs. 56,250 for the computer.

Note:
In this question, the sales tax was the extra amount, if the question had a statement saying that the computer cost was Rs. 45,000 including the sales tax and was asked to only find the original amount of the computer, we just need to subtract the sales tax from the total value which is Rs. 45,000 instead of addition.