Nandesh sold half of his cloth at 10% profit, half of the remaining at 10% loss and the rest was sold at the cost price. In the transaction, his gain or loss will be :

2.5% gain

5% gain

2.5% loss

5% loss

Solution: Let C.P. of whole be Rs. X. C.P. of 1/2 stock = Rs. x/2, C.P. of 1/4 stock = Rs. x/4. Total S.P. = Rs.[(110% of x/2)+(90% of x/4)+x/4] = Rs. (11x/20 + 9x/40 + x/4) = Rs. 41x/40. Gain = Rs. (41x/40 - x) = Rs. x/40. .'. Gain% = (x/40 * 1/x * 100)% = 2.5%

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