Question

A trader mixes three varieties of refined oil costing rs. 100, rs. 40 and rs. 60 per litre in the ratio 2:4:3 in terms of litre, and sells the mixture at rs. 66 per litre. What percentage of profit does he make?

Answer 1

The percentage of profit is 9.26%.

Step-by-step explanation:

Since we have given that

Ratio of varieties of refined oil is 2:3:4.

costs are Rs. 100, Rs. 40, Rs. 60 per liter

So, Total cost would be

$2x\times 100+40\times 4x+60\times 3x\\\\=200x+160x+180x\\\\=540x$

Sell the mixture at Rs. 66 per liter

So, the selling price becomes

$(2x+4x+3x)\times 66\\\\=9x\times 66\\\\=594x$

So, Selling price is more than cost price.

So, there  will be profit.

So, Profit percentage would be

$\dfrac{594x-540x}{540x}\times 100\\\\\dfrac{50}{540}\times 100\\\\=9.26\%$

Hence, the percentage of profit is 9.26%.

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A trader mixes three varieties of groundnuts costing Rs. 50, Rs. 20 and Rs. 30 per kg in the ratio 2: 4: 3 in terms of weight, and sells the mixture at Rs. 33 per kg. What percentage of profit does he make?

Answer 2

Answer:

Step-by-step explanation: 100*2ₓ+40*4ₓ+60*3ₓ = 200ₓ+160ₓ+180ₓ = 540ₓ

(2ₓ+4ₓ+3ₓ)*66 = 9ₓ*66 = 594ₓ

selling cost is profit than cost price.

profit percentage = 594ₓ - 540ₓ/ 540ₓ *100 = 54ₓ/540ₓ *100= 1/10*100=10%