Question

By selling 100 mangoes, a fruit seller gains the C.P of 20 mangoes. Find his gain?

Answer 1

Hint: In this question, we are asked to find the gain but we are not provided with the clear values of C.P nor S.P. but a relation is provided between the cost price and total gain. Using this relation, we will find the gain percent and finding first the total cost price of 100 mangoes and the total gain of 100 mangoes. So, use this concept to reach the solution to the given problem.

Complete step-by-step solution:
Let the cost price of mango be \[x\]
Therefore, cost price of 100 mangoes = \[100x\]
According to the condition given
Total gain = cost price of 20 mangoes = \[20x\]
We know that, the gain percent is given by the formula \[{\text{gain % }} = \dfrac{{{\text{gain}}}}{{{\text{C}}{\text{.P}}}} \times 100\]
Therefore, the gain percentage for 100 mangoes \[ = \dfrac{{20x}}{{100x}} \times 100 = 20\% \]
Hence, the percentage of gain is 20%.

Note: The total gain is given by the subtraction of cost price from selling price. And the total loss is given by the subtraction of selling price from cost price. The gain percent is given by the formula \[{\text{gain % }} = \dfrac{{{\text{gain}}}}{{{\text{C}}{\text{.P}}}} \times 100\]. The loss percent is given by the formula \[{\text{loss% }} = \dfrac{{{\text{loss}}}}{{{\text{S}}{\text{.P}}}} \times 100\].