In what ratio should sugar costing ₹71 per kg be mixed with sugar costing ₹22 per kg so that by selling the mixture at ₹41.6 per kg, there is a profit of 30%?
10 : 39
The selling price of the mixture is ₹41.6, and we need a 30% profit. So the cost price of the mixture should be:
Cost Price = 41.6 / (1 + 30/100) = 41.6 / 1.3 = ₹32
The cost price per kg is a weighted average of the costs of the two types of sugar:
32 = (71x + 22y) / (x + y), where x and y are the quantities of the two types of sugar. Solving the equation gives the ratio x : y = 10 : 39.
Important Questions from Mixture Problems
- A bucket contains liquid A and B in the ratio 17:18. 140 litre of the mixture is taken out and filled with 140 litre of B. Now the ratio changes to 7:8. Find the quantity of liquid B initially. (In litres)
- A trader mixes 245 kg of rice at Rs. 155 per kg with 255 kg of rice of other variety at Rs. 155 per kg and sells the mixture at Rs.186 per kg. Find his profit percent.
- A trader mixes 255 kg of rice at Rs.170 per kg with 265 kg of rice of other variety at Rs. 170 per kg and sells the mixture at Rs.204 per kg. Find his profit percent.
5 litres are drawn from a cask full of wine and is then filled with water. This operation is performed once more. The ratio of the quantity of wine now left in cask to that of the water is 16:9. How much wine the cask hold originally? (In litres)
- In what ratio must a grocer mix two varieties of pulses costing Rs.66 and Rs.88 per kg respectively so as to get a mixture worth Rs.76 per kg?
