Question

Coffee costing ₹ 450 per kg was mixed with Chicory costing ₹ 225 per kg in the ratio 5 : 2 for
a certain blend. If the mixture was sold at ₹ 405 per kg; find the gain or loss per cent.​

Answer 1

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Given :

Coffee costing Rs.450 per kg was mixed with chicory costing Rs.225 per kg in the ratio 5:2 for a certain blend. If the mixture was sold at Rs.405 per kg.

To find : The gain or loss percent?

Solution :

Let the ratio be divided by 'x'

So, The ratio became 5x and 2x.

Coffee costing Rs.450 per kg was mixed with chicory costing Rs.225 per kg in the ratio 5:2 for a certain blend.

i.e. Total cost of 7x kg of mixture is =

$\sf{450 \times 5x + 225 \times 2x}$

Total cost of 7x kg of mixture is =

$\sf{2250x + 450x}$

Total cost of 7x kg of mixture is =

$\sf{2700x}$

Cost price of 1 kg of mixture is =

$\sf{ \frac{2700x}{7x} }$

Cost price of 1 kg of mixture is =

$\sf{385.71}$

Selling price of 1 kg mixture = Rs.405

So, S.P>C.P there is a profit.

Profit = S.P-C.P

Profit = Rs.405-Rs.385.71

Profit = Rs.19.29

Profit percentage is,

$\sf{P \: = \frac{P}{CP} \times 100} \\ \\ \sf{P = \frac{19.29}{385.71} \times 100} \\ \\ \huge\sf{P \: = 5}$

Therefore, The profit percentage is 5%.