The value of investment Q increased by q percent from the beginning of a particular year through June 30 of that year, and then experienced no net change from June 30 to the end of the year. The value of investement P increased by p percent from the beginning of that year to June 30, and the new value increased again by p percent from June 30 to the end of the year. If the percent increase in value from the beginning to the end of the year was the same for both investments, which of the following expressions gives the value of p in terms of q?
$$\left(A\right)\ \sqrt{100q+10,000}-100$$
$$\left(B\right)\ \frac{q}{2}$$
$$\left(C\right)\ \sqrt{100q}$$
$$\left(D\right)\ 2q+\frac{q^2}{100}$$
$$\left(E\right)\ \sqrt{100+q}-100$$
The OA is A.
Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
$$\left(A\right)\ \sqrt{100q+10,000}-100$$
$$\left(B\right)\ \frac{q}{2}$$
$$\left(C\right)\ \sqrt{100q}$$
$$\left(D\right)\ 2q+\frac{q^2}{100}$$
$$\left(E\right)\ \sqrt{100+q}-100$$
The OA is A.
Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
