Coffee costing! 250 per kg was mixed with chicory costing Rs. 75 per kg in the ratio 5:2 for a certain blend. If the mixture was sold at Rs.230 per kg, find the gain or loss percent. Hint. Let 5 kg of coffee be mixed with 2 kg of chicory.

Question

Philoid · Accepted Answer

Let × be the common multiple.

Cost of 5 Kg of Coffee => 5 × = 250 × 5 = Rs.1250

Cost of 2 kg of Chicory => 2 × = 75 × 2 = Rs.150

Cost of Mixture is;

5 × + 2 × = 1250 + 150

7 × = 1400

× = 1400/7 = Rs.200

So, CP of Mixture = Rs.200

And SP of Mixture = Rs.230

Since, SP > CP. So, it is a case of Gain.

Gain = SP – CP

= 230 – 200

= Rs.30

Gain Percent =

= 15%