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Smt. Anagha Doshi Purchased 22 Shares of Fv Rs 100 for Market Value of Rs 660. Find the Sum Invested. After Taking 20% Dividend, She Sold All the Shares When Market Value Was Rs 650. - Algebra

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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).

Sum

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).

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Chapter 4: Financial Planning - Problem Set 4B [Page 112]
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