Question

Mrs. Kulkarni invests Rs. 1,31,040 in buying Rs. 100 shares at a discount of 9%. She sells shares worth Rs. 72,000 at a premium of 10% and the rest at a discount of 5%. Find her total gain or loss on the whole.

Answer 1

Hint: To solve this question, we need to know the basic theory related to the profit and loss. Here first we will calculate the rate at which she bought each share and then after finding the Number of shares sold and Amount, she gets. And then finally calculate its gain or loss depending upon the amount she got back and the amount she invested as discussed below.

Complete step-by-step answer:
Invested amount =131040, actual rate of each share =100
Percentage of Discount =9%
∴ rate at which she bought each share = $100 - \dfrac{9}{{100}} \times 100$= 91
Number of shares = $\dfrac{{131040}}{{91}} = 1440$
She sells shares worth 72000 at 10% more
Number of shares sold = $\dfrac{{72000}}{{100}} = 720$ shares
Rate at which she sold each share = $100 + \dfrac{{10}}{{100}} \times 100$= 110
Amount she gets =720$ \times $110=79200
Now remaining 720 = (1440−720) shares are sold at 5% discount
Rate = $100 - \dfrac{5}{{100}} \times 100$= 95
Amount she gets =720$ \times $95=68400
Total amount she gets =$79200+68400=147600$
Gain = amount she got back − amount she invested
         =$147600−131040$
         = $16560$
∴ Gain =$16560$

Hence a net gain is Rs 16560.

Note: Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.
And also remember that Every product has a cost price and selling price. Based on the values of these prices, we can calculate the profit gained or the loss incurred for a particular product.