Question

$96\%$ of the cost of a TV is $Rs.10464$ . What is its total cost?

Answer 1

Hint: For answering this question we will frame a mathematically expression from the given information stating as the $96\%$ of the cost of a TV is $Rs.10,464$ given as $\dfrac{10,464}{x}\times 100=96\%$ . By simplifying this formed expression we will end up having the required answer after performing all the simplifications and calculations. We should make a note that the total cost of the T.V. should be greater than the $96\%$ of the cost of the T.V. that is $Rs.10,464$ .

Complete step by step answer:
Now considering from the question we have information stating that the $96\%$ of the cost of a TV is $Rs.10,464$ .
Let us assume the total cost of a T.V. be $x$ .
Now we can frame a mathematical expression, $\dfrac{10,464}{x}\times 100=96\%$ .
By simplifying this expression we will have $\dfrac{10,464}{96}\times 100=x$ .
After performing further simplifications on this expression we will have
$\begin{align}
  & \dfrac{1308}{12}\times 100=x \\
 & \Rightarrow \dfrac{327}{3}\times 100=x \\
 & \Rightarrow 109\times 100=x \\
\end{align}$.
Hence we have the final answer as the total cost of a T.V. is $10900Rs.$

Hence we can conclude that when $96\%$ of the cost of a TV is $Rs.10464$ . Its total cost will be $Rs.10,900$ .

Note: While answering questions of this type we should be sure while performing the simplification and while framing the mathematical expression from the given information. If we had made a mistake and wrote the mathematical expression as $\dfrac{10,464}{100}\times 96=x$ . Then we will have the final answer as $x=10,045.44$ which is clearly the wrong answer as it is less than the $96\%$ of the cost of a TV is $Rs.10464$.