Question

coffee costing rate 250 per kg was mixed with chicory costing rate 75 per kg in the ratio 5 ratio 2 for a certain blend if the mixture was sold at rate 230 per kg find the gain or loss percent

Answer 1

Ratio of coffee : Chicory = 5 : 2

⇒ 7kg of the mixture will be made up by 5 kg of coffee and 2 kg of chicory

Find the cost price of 7 kg of the mixture:

5 kg of coffee = 250 x 5 = Rs 1250

2 kg of Chicory = 75 x 2 = Rs 150

Total cost of the 7kg = 1250 + 150 = Rs 1400

Find the cost price of 1 kg of the mixture:

7 kg = Rs 1400

1 kg = 1400 ÷ 7 = Rs 200

Find the profit :

Selling Price of 1 kg = Rs 230

Cost Price of 1 kg = Rs 200

Since Selling Price > Cost Price ⇒ It is a profit

Profit = 230 - 200 = Rs 30

Find the profit percentage:

Profit percentage = profit/cost price x 100

Profit percentage = 30/200 x 100 = 15%

Answer: The mixture is sold with a profit of 15%