If seller sells the colour after mixing, then what will be the selling rate for getting a profit of 20% ?

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A seller purchases the green colour of holi from two dealers, 5 kg from a dealer at a rate of 60 rupees per kg and 7 kg from other dealer at a rate of 80 rupees per kg .
If he sells the colour after mixing, then what will be the selling rate for getting a profit of 20% ?

posted Nov 4, 2015

+1 vote

Cost Price(C.P.)=(5*60+7*80)
=860......................(for 12kg)

Profit%=P%=20%

Selling Price(S.P.)={(100+P%)/100xC.P.}
={(100+20)/100x860
=1032...........(for12kg)

therefore for 1kg=1032/12
=86

so ans is:selling rate rupees 86 per kg

5 kg purchased from a dealer at 60 rupees per kg
Therefore total cost per 5 kg = 60 x 5 = 300

7 kg purchased from another dealer at 80 rupees per kg .
Therefore total cost per 7 kg = 80 x 7 = 560

Therefore total cost for 12 kg = 300 + 560 = 860
Hence cost per kg 860/12 = 71.66
Profit = 20%
Therefore Selling price = Cost price + Cost price x 0.2
= Cost price x 1.2
= 71.66 x 1.2 = 86

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