Question

If the gain on $Rs.1,40,000$ is $Rs.22,400$ ; find the gain per cent.

Answer 1

Hint: For answering this we will use the given information that the total money earned is $Rs.1,40,000$ and the gain is $Rs.22,400$ . The gain per cent is equal to the percentage of gain earned for the total amount earned which can be mathematically given as $\dfrac{\text{Gain earned}}{Total\text{ amount}}\times 100$ .

Complete step by step answer:
In the question, we have been given that the total money earned is $Rs.1,40,000$ and the gain is $Rs.22,400$ .
We know that the gain per cent is equal to the percentage of gain earned for the total amount earned which can be mathematically given as $\dfrac{\text{Gain earned}}{Total\text{ amount}}\times 100$ .
So here for this question it can be given as $\dfrac{22,400}{1,40,000}\times 100$ .
We can simplify and write it as $\dfrac{224\times {{10}^{4}}}{14\times {{10}^{4}}}$.
Now, again we can simplify it further as $\dfrac{224}{14}$ .
By performing the division we will have it as $16$ .
So we can say that the gain percent is $16\%$.

Hence we can conclude that when the gain is $Rs.22,400$ on $Rs.1,40,000$ the gain per cent will be $16\%$.

Note: While answering this type of questions we should be careful with the calculations while performing them. We should be sure if we make a mistake and consider $\dfrac{224}{14}=6$ . We will get a complete wrong answer. For a loss per cent similar to gain per cent we will perform the percentage of loss acquired for the total amount earned which can be mathematically given as $\dfrac{\text{Loss acquired}}{\text{Total amount}}\times 100$ .