Question

Two blends of commodities costing rs 35 and rs 40 per kg respectively are mixed in the ratio2:3 by weight.if 1/5th of the mixture is sold at rs 46 perkg and the remaining at the rate of rs 55 perkg.then the profit % is?

Answer 1

$\textbf {Hey there, here is the solution.}$

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Ratio of the two blends = Blend A : Blend B = 2 : 3

Cost of the two blends = Blend A : Blend B = Rs 35 : Rs 40

Find the cost price of the mixture of the 2 blends:

Total weight of the mixture = 2 + 3 = 5kg

Cost of the mixture = 2(35) + 3(40) = Rs 190

Find the selling price of 1/5 of the mixture:

Weight of the mixture = 1/5 x 5 kg = 1 kg

Selling price of the mixture = 1 kg x Rs 46 = Rs 46

Find the selling price of the remaining mixture:

Weight of the mixture = 5 - 1 = 4kg

Selling Price of the mixture = 4 x 55 = Rs 220

Find the total selling price:

46 + 220 = Rs 266

Find the profit:

Profit = 266 - 190 = Rs 76

Find the profit percentage:

Profit percentage = 76/190 x 100 = 40%

Answer: 40%

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⭐$\textbf {Cheers}$⭐