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t 1000 pencils forsarīsht he remaining pencils so as to gain 15% on the whole transaction?3000 and sold 200 of these at a gain of 9%. At what gain per centau t o 125 mangoes, a man gains an amount equal to the selling price of 5 mangoes. Find the yainsellingper cent |
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Answer» C.P of 1000 pencils=Rs.3000C.P of one pencil= 3000/1000 =Rs.3 Manish sold 200 pencils at the gain of 5%C.P of 200 pencils= 3(200) =Rs.600Profit= 5% of CP of 200 pencils= 5*600/100 = Rs.30 S.P of 200 pencils= C.P of 200 pencils + Profit = 600+30 =Rs.630 Manish wants to make a profit of 15% of whole transaction Profit of whole transaction= 15*3000/100 =Rs.45 Profit to be made for 2nd transaction= Profit of whole transaction - Profit of 1st transaction = 450-30 = Rs.420 C.P of remaining pencils= 800*3 =Rs.2400 Let 'x' be the profit percentage of 2nd transaction Profit of 2nd transaction= C.P of remaining pencils * (x/100) => 420 = 2400x/100=> 420 = 24x=> x = 420/24=> x = 17.5 Answer is 17.5 Let sp of on mango be rs1 Then sp of 125mangoes = 125 × 1 = rs 125 now he gains sp of 5 mangoes = 5×1 = rs5 so, cp = sp - gain cp = 125-5 cp=120rs Now gain% = gain * 100 / cp = 5 * 100/120 Gain% = 4.16666 Gain% = 4.167 % |
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