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Question
Smt. Anagha Doshi purchased 22 shares of FV ₹ 100 for Market Value of ₹ 660. Find the sum invested. After taking 20% dividend, she sold all the shares when market value was ₹ 650. She paid 0.1% brokerage for each trading done. Find the percent of profit or loss in the share trading.
(Write your answer to the nearest integer).
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Solution
For purchasing shares:
Face value of each share = ₹ 100
Market value of each share = ₹ 660
Number of shares purchased = 22
Rate of brokerage = 0.1%
Sum invested = Market value of each share × Number of shares
= 660 × 22
= ₹ 14,520
Brokerage = 0.1% of sum invested
= `(0.1)/(100) × 14520`
= ₹ 14.52
∴ Amount invested for 22 shares = Sum invested + Brokerage
= 14520 + 14.52
= ₹ 14534.52
For dividend:
Rate of dividend = 20%
∴ Total dividend received = Number of shares purchased × Dividend received on each share
`= 22 × 20/100 × 100`
= ₹ 440
For selling shares:
Market value = ₹ 650, Rate of brokerage = 0.1%
Market value of 22 shares = 22 × 650 = ₹ 14,300
Brokerage = 0.1% of 14300
`= 0.1/100 × 14300`
= ₹ 14.30
Smt. Anagha income = Dividend + Market value of 22 shares − Brokerage
= 440 + 14300 − 14.30
= ₹ 14725.7
Since, income > Amount invested
∴ Profit is gained.
∴ Profit = Income − Amount invested
= 14725.7 − 14534.52
= ₹ 191.18
Profit Percentage = `"Profit"/"Amount invested" × 100`
`= 191.18/14534.52 × 100`
= 1.31%
∴ Percentage of profit in the share trading is 1% (nearest integer).
