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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% 0.3 100 18 100 / dividend, she sold all the shares when market value was Rs.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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Best answer

For purchasing shares: 

Here, FV = Rs. 100, MV = Rs.660, Number of shares = 22, rate of brokerage = 0.1% 

Sum invested = MV × Number of shares 

= 660 × 22 

= Rs.14,520 

Brokerage = 0.1 % of sum invested 

= (0.1/100) × 14520 = Rs.14.52 

∴ Amount invested for 22 shares = Sum invested + Brokerage 

= 14520 + 14.52 

= Rs.14534.52 

For dividend: 

Rate of dividend = 20% 

∴ Dividend per share = 20 % of FV

∴ Percentage of profit in the share trading is 1 % (nearest integer).

Alternate Method: 

For purchasing share: 

Here, FV = Rs.100, MV = Rs.660, Number of shares = 22, rate of brokerage = 0.1% 

Sum invested = MV × Number of shares 

= 660 × 22 

= Rs.14,520 

Brokerage = 0.1 % of MV 

= (0.1/100) × 660 = Rs.0.66 

Amount invested for 1 share = 660 + 0.66 

= Rs. 660.66 

For dividend: 

Rate of dividend = 20% 

Dividend = 20% of FV = × 100 = Rs.20 

For selling share: 

MV = Rs.650, rate of brokerage = 0.1% 

Brokerage = 0.1 % of MV

= (0.1/100) × 650 

= Rs.0.65

Amount received after selling 1 share 

= 650 – 0.65 = 649.35 

∴ Amount received including divided = selling price of 1 share + dividend per share 

= 649.35 + 20 

= Rs.669.35 

Since, income > Amount invested 

∴ Profit is gained. 

∴ profit = 669.35 – 660.66 = Rs.8.69 

Profit Percentage = (8.69/660.66) × 100= 1.31% 

∴ Percentage of profit in the share trading is 1 % (nearest integer).

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