Mixing the Product- Profit and Loss

Question 01

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

Given:
The ratio of 3 varieties of ground nuts in terms of weight = 2:4:3

Let the weight of 3 varieties be 2x, 4x & 3x (in kg),
So the total weight is ==>2x + 4x + 3x = 9x kg

Also, the cost of 3 varieties are ₹50, ₹20, ₹30 per kg respectively.
Therefore CP = (2x * 50 ) + (4x * 20) + (3x * 30) = 100x + 80x + 90x = 270x

Also given SP = ₹33/kg
Therefore total SP = ₹33 x 9x = 297x

So,


Profit %= {(SP-CP)/CP} * 100
= { (297x-270x)/270x } * 100
= 27/270 * 100
=10%
Hence, the trader makes 10 profit

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