Initial Mixture Analysis
The total volume of the mixture is 45 litres.
The initial ratio of kerosene to diesel is 4:5.
- Total ratio parts = 4 + 5 = 9 parts.
- Volume per ratio part = $\frac{45 \text{ L}}{9} = 5$ L.
- Initial quantity of kerosene = $4 \times 5 \text{ L} = 20$ L.
- Initial quantity of diesel = $5 \times 5 \text{ L} = 25$ L.
Final Mixture Calculation
Diesel is added to the mixture, so the quantity of kerosene remains constant.
- Kerosene in the final mixture = 20 L.
- The target ratio of kerosene to diesel is 4:6.
- Let the final quantity of diesel be '$D_{final}$'.
- Set up the ratio equation: $\frac{\text{Kerosene}}{\text{Diesel}} = \frac{4}{6}$
- Substitute the known values: $\frac{20 \text{ L}}{D_{final}} = \frac{4}{6}$
- Solve for '$D_{final}$': $4 \times D_{final} = 20 \text{ L} \times 6$ $D_{final} = \frac{120 \text{ L}}{4}$ $D_{final} = 30$ L.
Diesel Added Amount
Calculate the amount of diesel that needs to be added.
- Diesel to be added = Final diesel quantity - Initial diesel quantity
- Diesel to be added = $30 \text{ L} - 25 \text{ L}$
- Diesel to be added = 5 L.
Therefore, 5 litres of diesel must be added.
Similar Questions
- A bucket has 60 litres of a solution with sugar and water in the ratio 5:1. If 12 litres of the solution are replaced with water, what is the new ratio?
- A can contains 40 litres of oil at Rs. 50/litre. Another can contains 60 litres of oil at Rs. 60/litre. They are mixed, and 20 litres are sold at Rs. 70/litre. How much profit or loss does the seller make on this sale?
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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:
