Question
A tradesman offers 10% discount on the marked price and
1 article free with every 19 article bought and still gains 14%. If cost price of Rs. 300, Then what is the selling price?Solution
Free on buying 19, getting 1 free- means a discount of = 1/((19+1)) × 100 = 100/20×100 =5% Total discount(D)% = 10+ 5 - (10×5/100) = 14.5% Let M = Markup% P = M - D - (MD/100) 14 = M - 14.5 - (M*14.5/100) 28.5 = 85.5M/100 M = 33.33% CP = Rs. 300 So MP = 400 SP = MP(100-D)% = 400× (100-14.5%)/100 = 400×85.5%= Rs. 342 Alternate Method: Ratio of CP MRP (100 – D%) /(19+1) : (100 + P%)/19 (100 – 10)/20 (100 + 14)/19 4.5 : 6 3 : 4 As CP = 300 So MP = 400 So SP = MP(100-D)% = 400× (100-14.5%)/100 = 400×85.5%= Rs. 342
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