Question

Virat and Samrat together invested 50000 and 120000 rupees to start a business. They suffered a loss of 20%. How much loss did each of them incur?

Answer 1

Hint: In this question, we are given the investment of Virat and Samrat together in a business. We are given the loss percentage that they suffered and we need to find the amount of loss each of them incurred. For this, we will just calculate the amount of loss for each of them using the formula $\text{Loss}=\dfrac{\text{Loss}\%}{100}\times \text{Investment}$.

Complete step by step answer:
Here, we are given that, Virat and Samrat together made an investment to start a business and suffered a loss of 20%. Since both invested in the business, therefore, both of them will suffer an equal percentage of loss i.e. Virat will suffer 20% of his investment and Samrat will suffer 20% of his investment. Let us find their amount of loss.
Investment of Virat is given as Rs.50000.
We know that, the formula for loss is given as $\text{Loss}=\dfrac{\text{Loss}\%}{100}\times \text{Investment}$.
Since Virat suffered a loss of 20% so his loss will be
\[\begin{align}
  & \text{Loss}=Rs.\dfrac{20}{100}\times 5\text{0000} \\
 & \Rightarrow Rs.\text{20}\times \text{500} \\
 & \Rightarrow Rs.\text{10000} \\
\end{align}\]
Hence Virat suffered a loss of Rs.10000.
Investment of Samrat is given as Rs.120000.
Since he also suffered a loss of 20% so his loss would be:
$\begin{align}
  & \text{Loss}=\dfrac{\text{Loss}\%}{100}\times \text{Investment} \\
 & \text{Loss}=Rs.\dfrac{20}{100}\times 120\text{000} \\
 & \Rightarrow Rs.\text{20}\times \text{1200} \\
 & \Rightarrow Rs.\text{24000} \\
\end{align}$
Hence, Samrat suffered a loss of Rs.24000
Hence, Virat and Samrat incurred a loss of Rs.10000 and Rs.24000 respectively.

Note:
Students can make the mistake of dividing the loss percentage between them. Students can get confused between loss and loss%. Take care of calculation while finding a loss. They should keep in mind the formula of finding loss using the given loss%.