Question

john embarks all his capital in 4 succesive venture:in the first he made a 150 percent profit an in each of the other he lost 25 percent .what was his profit as percentage of his original capital

Answer 1

In order to calculate a 150% profit, we just need to multiply the initial amount by 1.5.

And to calculate a loss of 25%, we need to multiply the amount by 0.75.

So, if John had a profit of 150% and three losses of 25%, the final profit is the product of all these factors:

(Let's use the variable x to represent the initial amount)

`\begin{gathered} x\cdot1.5\cdot0.75\cdot0.75\cdot0.75 \\ =x\cdot0.6328 \end{gathered}`

The final amount is the initial amount multiplied by 0.6328, that is, 63.28% of the initial amount, so John had a loss of 36.72% (100% - 63.28%) of his original capital.