1. Mr. Rai sold a mobile set for Rs 38000 at 5% loss. At whatprice should he sell it to gain 5% ?Soln : Case ISelling price (SP) = Rs 38000Loss % = 5%cost price (CP) = ?Actual loss = Loss% of cost price = 5% of CP==5100CP20CPActual loss = CP SPor,SP = CP - Actual lossor,CP2038000 = 20 CP - CP2038000 = 19 CP2038000 = CP -or,or,or, 760000 = 19 CP CP = Rs 40000Case IICP = Rs 40000 ,Profit % = 5% ,SP = ?By using formulaSP = CP + profit % of CP= Rs 40000 + 5 % of Rs 40000540000= Rs 40000 +100= Rs 40000 + 2000= Rs 42000Hence, he should sell the mobile set for Rs 42000 to getprofit of 5%.2. A shopkeeper sold a pen at a loss of 10%. If she had sold itat Rs 14 more, she would have gained 25%. Find the costprice of the pen.Soln : Case ILoss % = 10% ,selling price of the pen (SP) = ?Let, cost price of the pen (CP) = Rs xby using formula,SP = CP Loss % of CP = x - 10 % of x = x -10100=x- x1010x-x=10= Rs 9 x10xCase II9 x + Rs 14 ,RsSP =10By using formula,CP = Rs x ,Profit % = 25%SP = CP + profit % of CPor, 9 x + 140 = 5x1049x+ 14 = x + 25 % of x or, 4 .( 9x + 140) = 50 xor,109x25+14=x+x or, 36 x + 560 = 50 xor,10100or, 560 = 50 x 36 xor, 9 x + 14 = x + xor, 560 = 14 x4109x+1404x+xor,=104 x = 40Hence, the cost price of thepen is Rs 403. A man bought two calculators for Rs 1000. He sold one ofthem at 10% profit and th ...
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