Question

# A man invested $Rs.{\text{ }}45000$ in $15\%$Rs. 100 shares quoted at $Rs.{\text{ }}125$ when the market value of these shares rose to $Rs.{\text{ }}140$, he sold some shares, just enough to raise $Rs.{\text{ }}8400$. Calculate the number of shares he still holds.

Hint: Here, in this problem, the number of shares that are left or are still held by the person is to be found out. It can easily be calculated, if the number of shares sold and number of shares purchased are obtained. So, first of all we will have to find no. of shares purchased by him & then no. of shares he sold after the rise of price. Then by subtracting no. of shares he sold after price rise from total no. Of shares he purchased we can get a number of shares he still holds. i.e., $\therefore$number of share he still hold = (number of shares purchased) – (number of shares sold)

Given: amount invested by the man = $Rs.{\text{ }}45000$
Cost of each quoted shares =$Rs.{\text{ }}125$
$\therefore$so, number of shares purchased is given by $= \dfrac{{45000}}{{125}} = 360$
Cost of each share after rise of share price = $Rs.{\text{ }}140$
Amount he wants to get = $Rs.{\text{ }}8400$
So, number of shares sold is given by $= \dfrac{{8400}}{{140}} = 60$
$\therefore$number of share he still hold = (number of shares purchased) – (number of shares sold)
$= 360 - 60 = 300$