Calculating Average Cost of Antiseptic Solution
The problem asks for the average cost per liter of a final antiseptic solution prepared by mixing two liquids, 'A' and 'B', in a specific ratio.
Determine Liquid Quantities
- Total volume of the solution: 60 liters.
- Ratio of liquid 'A' to liquid 'B' is 2:3.
- Total parts in the ratio: $2 + 3 = 5$ parts.
- Volume of liquid 'A': $ \frac{2}{5} \times 60 \text{ liters} = 24 \text{ liters} $.
- Volume of liquid 'B': $ \frac{3}{5} \times 60 \text{ liters} = 36 \text{ liters} $.
Calculate Total Cost of Liquids
- Cost of liquid 'A': Rs. 45 per liter.
- Cost of liquid 'B': Rs. 30 per liter.
- Total cost for liquid 'A': $ 24 \text{ liters} \times \text{Rs. } 45/\text{liter} = \text{Rs. } 1080 $.
- Total cost for liquid 'B': $ 36 \text{ liters} \times \text{Rs. } 30/\text{liter} = \text{Rs. } 1080 $.
- Total cost of the mixture: $ \text{Rs. } 1080 + \text{Rs. } 1080 = \text{Rs. } 2160 $.
Find Average Cost Per Liter
- Average cost per liter is the total cost divided by the total volume.
- Average cost = $ \frac{\text{Total Cost}}{\text{Total Volume}} = \frac{\text{Rs. } 2160}{60 \text{ liters}} $.
- Average cost = Rs. 36 per liter.
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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:
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
