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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.
Solution
Investment = Rs. 1,31,040
N.V of 1 share = Rs. 100
Discount = 9% of Rs. 100 = Rs. 9
∴ M.V of 1 share = Rs. 100 – Rs. 9 = Rs. 91
∴ Number of shares purchased = `"Investment"/"M.V of 1 share" = 131040/91` = 1440
∴ Number of shares worth Rs. 72,000 = `72000/100` = 720
∴ Mrs. Kulkarni sells 720 shares at a premium of 10%
M.V of 1 share = Rs. 100 + Rs. 10 = Rs. 110
∴ Selling price of 720 shares = 720 × Rs. 110 = Rs. 79,200
Number of remaining shares = 1440 – 720 = 720
She sells 720 shares at a discount of 5%
M.V of 1 share = Rs. 100 – Rs. 5 = Rs. 95
∴ Selling price of 720 shares = 720 × Rs. 95 = Rs. 68,400
∴ Total selling price = Rs. (79,200 + 68,400) = Rs. 1,47,600
∴ Total gain = Total selling price – Total investment
= Rs. (1,47,600 – 1,31,040)
= Rs. 16,560
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