A shopkeeper mixes two types of rice costing ₹250/5 kg and ₹280/5 kg in the ratio 7 : 8. Find the net cost of the resultant mixture (per kg).
₹53.20
The weighted average cost per kg of the mixture can be calculated as: (7 × 250 + 8 × 280) / (7 + 8) = ₹53.20.
Similar Questions
A container holds a mixture of Orange, Apple, and Guava juices in the ratio of 5:7:4 respectively. 24 litres of this mixture is taken out, and then 10 litres of orange juice and 6 litres of guava juice are added to the vessel. If the resultant quantity of apple juice is 14 litres more than the resultant quantity of orange juice, what was the initial quantity of mixture in the vessel (in litres)?
Two containers, A and B, contain mixtures of alcohol and water. Container A has alcohol and water in the ratio 4 : 1, while Container B has them in the ratio 5 : 2. If 10 litres are drawn from Container A and 14 litres from Container B, and the contents are mixed in a third container, what is the ratio of alcohol to water in the new mixture?
- A seller mixes two varieties of rice costing Rs. 40/kg and Rs. 60/kg in a certain ratio and sells the mixture at Rs. 55/kg, gaining 10%. What is the ratio in which the two types are mixed?
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
A juice vendor mixes water with pure orange juice. If he sells the mixture at the cost price of pure orange juice and makes a profit of 20%, what is the ratio of water to pure orange juice in the mixture, respectively?
One type of pulses is sold for ₹72 per kg at a 20% profit. Another type is sold for ₹60 per kg at a 25% profit. If these two varieties are mixed in the ratio of 2:1 (first variety to second variety) and the mixture is sold at ₹70 per kg, what is the overall profit or loss percentage?
A 60-litres solution of alcohol and water has 20% water. How many litres of alcohol must be added to the solution to make the water content 15%?
A grocer mixes 40 kg of lentils costing ₹65 per kg with a certain quantity of lentils costing ₹80 per kg. If he sells the mixture at ₹75 per kg, making a 10% profit, what quantity of the second type of lentils did he mix?
A vendor mixes two types of coffee beans — one costing ₹120 per kg and the other costing ₹180 per kg, in the ratio 1 : 2. If he sells the mixed variety at ₹152 per kg, find his gain or loss percent.
Two types of sugar, one costing ₹45/kg and another costing ₹60/kg, are mixed with a third variety in the ratio 1:2:3. If the mixture is worth ₹55/kg, what is the price of the third variety of sugar per kg?
Important Questions from Mixture and Alligation
- I bought two shirts for ₹1,200. I sold the first one at a loss of 8% and the second at a gain of 24%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first shirt.
- There are two containers A and B. In container A, the ratio of milk and water is 1:3 and in container B, the ratio of milk and water is \(m:n\). If the mixture in the containers A and B are mixed in the ratio 2:3 to get 20 litres of a mixture having milk and water in the ratio 3:7, then what is the value of \(\frac{m}{n}\)?
- Pure ghee costs ₹112/kg. After adulterating it with vegetable oil costing ₹56/kg, a dishonest shopkeeper sells the mixture at the rate of ₹91/kg, thereby making a profit of 30%. In what ratio does he mix the two?
- Container A contains $30$ litres of pure milk costing $₹40$ per litre, and container B contains $50$ litres of pure milk costing $₹50$ per litre. The entire contents are mixed together. By how much is the average cost per litre of the mixture more or less than the average cost per litre of container A's milk?
- Pure ghee costs $₹86/kg$. After adulterating it with vegetable oil costing $₹43/kg$, a dishonest shopkeeper sells the mixture at the rate of $₹80/kg$, thereby making a profit of $60\%$. In what ratio does he mix the two?
