A merchant sold half of his cloth at 40% profit,half of remaining at 40% loss and the rest was sold at the cost price.In the total transaction his gain or loss will be
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let there is 100 stock with price cost price Rs.100. total cost is 100*100 = Rs.10000
therefore 50 item sold at price 40% profit i.e = 140 * 50 = Rs.7000
⇒ 25 item sold at price 40% loss i.e = 60 * 25 = Rs.1500
⇒ And remaining 25 item sold at cost price i.e = 100 * 25 = Rs.2500
∴ total sell price is 7000 + 1500 + 2500 = Rs.11000(profitable)
∴ Profit % is 10% gain
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