Question

The cost price of a computer is Rs.19,500. An additional Rs.450 was spent on installing a software. If it is sold at 12% profit, find the selling price of the computer.

Answer 1

Hint: In the given question, we have been asked to calculate the selling price of an item. First, we are going to write the total cost price, which includes the given cost price and the amount spent on any intermediate charge. Then, we apply the formula to the cost price for which we have been given the profit percent, and calculate the selling price.

Complete step by step solution:
Total cost price of computer, \[C = 19500 + 450 = 19950\]
Profit percent, \[p = 12\% \]
Selling price, \[x = ?\] (to be calculated)
Applying the formula of selling price,
\[SP = \dfrac{{100 + profit}}{{100}} \times CP\]
Putting in the values,
\[SP = \dfrac{{100 + 12}}{{100}} \times 19950\]
Canceling one \[0\] in \[100\] with one \[0\] in \[19950\],
\[SP = \dfrac{{112}}{{10}} \times 1995\]
Dividing both \[112\] and \[10\] by \[2\],
\[SP = \dfrac{{56}}{5} \times 1995\]
Dividing \[1995\] by the \[5\] in the denominator,
\[SP = 56 \times 399 = 22,344\]
Hence, the selling price of the computer is Rs \[22,344\].

Note: So, for solving questions of such type, we first write what has been given to us. Then we write down what we have to find. Then we write the formula which connects the two things. It is important that the cost price includes the raw cost price of the item and all the incurring charges on it.