Question

A businessman sold 3/7 of his stock at a gain of 18% and the rest at a gain of 22%. The overall percentage of Gain to the Businessman is

Answer 1

It is 19%.

Step-by-step explanation:

Let the overall stocks of the businessman is x.

Now, $\frac{3x}{7}$ stocks are sold with a gain percentage of 18% and the rest of $(x - \frac{3x}{y}) = \frac{4x}{7}$ stocks he sold with a gain percentage of 22%.

Therefore, the overall percentage of gain to the Businessman is

$\frac{\frac{3x}{7}\times 15 + \frac{4x}{7}\times 22}{x}\% = 19\%$ (Answer)

This is obtained by multiplying the % gain with the weightage value and then adding them.