Question

# Philomina sold 45 shares at Rs. 120 market price. She invested the amount she got shares at Rs. 75 market price. How many shares did she get?(a) 100(b) 80(c) 72(d) 75

Hint: Firstly calculate the total price of selling by multiplying the number of shares by selling price per share. After that divide the total price by selling price to get the final answer.

To solve the problem given above we will write the given data first,
Shares sold by Philonima = 45
Selling price per share = Rs. 120
Share buying price per share = Rs. 75
Shares bought by Philonima = ?
To calculate the shares bought by Philonima we have to calculate the total amount she have, and for that we have to calculate the total selling price of 45 shares.
To calculate the total selling price we will multiply the total shares by the selling amount per share therefore we will get,
Total selling price = Shares sold by Philonima $\times$ Selling price per share.
If we put the given values in the above equation we will get,
Total selling price = 45 $\times$ 120
Therefore Total selling price = Rs. 5400 …………………………………………. (1)
Now we can say that Philonima has Rs. 5400 and she have to buy the shares with Rs. 75 per share therefore we can calculate the number of shares by simply dividing the total selling price by 75,
Therefore, Total shares bought $=\dfrac{Total\text{ }selling\text{ }price}{Share\text{ }buying\text{ }price\text{ }per\text{ }share}$
Therefore, Total shares bought $=\dfrac{5400}{75}$
Therefore, Total shares bought $=\dfrac{216}{3}$
Therefore, Total shares bought = 72
Therefore Philonima invested the amount to get 72 shares at Rs. 75 market price.
Therefore the correct answer is Option (c).

Note: Rs. 120 market price means the price of one share, and therefore you have to multiply the number of shares by 120 to get the total selling price. If you get the 120 as the total selling price then you will get the wrong answer.