1.

. A trader mixes 2 kg of butter which costs$8 per kg with 3 kg of butter which costs $6 per kg.He sells the mixture at $2.55 per 250 g. Express hisprofit as a percentage of his selling price.​

Answer»

Given:-

  • C.P. of BUTTER = $8 per KG
  • Quantity of butter used = 2kg
  • C.P. of other quality of butter = $6 per kg
  • Quantity of other quality butter = 3kg
  • S.P. of mixture of butter = $2.55 per 250 g

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To Find:-

  • Total Profit percentage

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Formula Used:-

  • Profit = S.P. - C.P.

  • Profit % = {(Profit ÷ C.P.) × 100}%

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Solution:-

FINDING total C.P. of mixture:

➥ C.P. of 2 kg of butter

= 2 × $8

= $16

➥ C.P. of 3 kg of other quality of butter

= 3 × $6

= $18

➥ Total C.P. of mixture

= $16 + $18

= $34

Finding total s.p. of mixture:

➥ Total Amount of mixture

= 2 + 3

= 5kg

➥ Cost of 1 kg of mixture

= $2.55 × (1000 ÷ 250)

= $2.55 × 4

= $10.2

➥ Total cost of mixture

= 5 × $10.2

= $51

Finding profit percentage:

➥ Profit

= S.P. - C.P.

= 51 - 34

= 17

➥ Profit Percentage on cost price

= {(Profit ÷ C.P.) × 100}%

= {(17 ÷ 34) × 100}%

= {100 ÷ 2}%

= 50%

➥ Profit Percentage on selling price

= {(Profit ÷ S.P.) × 100}%

= {(17 ÷ 51) × 100}%

= {100 ÷ 3}%

= 33.3%

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Answer:-

▪︎Total Profit percent on s.p. is 33.3%.

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