A shopkeeper buys two types of rice costing ₹32 per kg and ₹40 per kg. He buys a total of 45 kg of rice for ₹1600. The ratio of the quantity (in kg) of rice costing ₹32 per kg to that costing ₹40 per kg is
5:4
Let the quantity of ₹32/kg rice be x kg, so the ₹40/kg rice is (45 − x) kg.
The total cost gives \(32x + 40(45-x) = 1600\).
Simplifying: \(32x + 1800 - 40x = 1600 \Rightarrow -8x = -200 \Rightarrow x = 25\).
So the quantities are 25 kg (₹32/kg) and 20 kg (₹40/kg).
Hence, the required ratio is 25:20, which simplifies to 5:4.
Similar Questions
- A sample of milk from a vessel contains 4% water. What quantity of pure milk should be added to 8 L of milk in the vessel to reduce the water content to 2%?
- A sample of milk contains 5% of water. What quantity of pure milk should be added to 10 L of milk sample to reduce this to 2%?
- Geeta is decorating the cover of her school magazine. She is allowed to use only three colours from a group of six colours (P, Q, R, S, T and U), based on the following conditions.
I. If P, Q or R is chosen, U cannot be chosen.
II. Either T or U must be chosen.
III. S and Q cannot be chosen together.
If R is chosen, which of the following pairs of colours must also be chosen? - How much of an $80\%$ orange juice drink must be mixed with 36 litres of a $25\%$ orange juice drink to obtain a mixture that has $60\%$ orange juice?
- A mixture contains alcohol and water in the ratio of $5 : 4$. If 9 litres of water is added to the mixture, the ratio of alcohol to water becomes $4 : 5$. Find the quantity of alcohol in the mixture.
- In mixture A, there is 5 L of syrup in 6 L of water. In mixture B, there is 3.5 L of syrup in 5.5 L of water. In which of the two mixtures is the concentration of syrup greater?
- In a mixture of milk and water of 120 litres, the ratio of milk to water is $2:1$. If the ratio of milk to water needs to be $1:2$, then the amount of water that needs to be added to the mixture is:
- A milkman mixes 10% water in pure milk but he is not content with it. So, he again mixes 10% more water in the previous mixture. What is the profit percentage of milk if he sells it at cost price?
- In a stock of two products A and B initially 80% of the total stock was product A. If 20 kg of product A and 8 kg of product B were taken out from the stock, then the ratio of the product A to product B in the stock changed to 9 : 2. What was the total stock (in kg) in the beginning?
- 85L of a mixture contains milk and water in the ratio 27 : 7. How much more water should be added to get a new mixture containing milk and water in the ratio 3 : 1?
Important Questions from Mixture and Alligation
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:
- Priya bought 45 kg of apples and mangoes for ₹1,240. The prices of apples and mangoes were ₹25/kg and ₹30/kg, respectively. How much money did she spend on mangoes separately?
- 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.
- 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?
