Mixture and Alligation Questions with Solution (Advanced)

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Q1. The ratio of quantities of sugar in which sugar costing Rs. 40 / kg and Rs. 30/kg. In what ratio both sugar should be mixed so that there is no gain or loss when the mixture is sold at Rs. 32/kg?

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Q2. 40 litres of a mixture contains milk and water in the ratio of 17 : 3. After  the addition of some more milk it, the ratio of milk to water in the  resulting mixture becomes 7 : 1. The quantity of milk added to it was

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Q3. In what ratio must the two types of tea at 180/kg and ₹280/kg respectively be mixed so that the obtained mixture sold at ₹320/kg carns a profit of 20% ?

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Q4. Two types of rice rates are ₹11/kg and ₹21/ kg. Find the ratio of the two types of rice to obtain a mixture of rate ₹ 17/kg.

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Q5. In vessel A, there is X liters of milk, and in vessel B, there is Y liters of water. 60% of the milk from vessel A and 50% of the water from vessel B are poured into vessel C. The ratio of milk to water in vessel C is 3:1.  If 10 liters of milk are added to vessel C, then the total amount of the mixture in vessel C becomes 70 liters. Find the ratio of X to Y before pouring 10 litres of milk in vessel C.

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Q6. In a grocery shop box A contains tea worth Rs.300 pr kg and box B  contains tea worth Rs.400 pr kg. If both box A and B are mixed in the  ratio 5 : 6 then the price of mixture pr kg is approximately:

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Q7. How much pure alcohol must be added to 400 ml of a solution containing 16% of alcohol to change the concentration of alcohol in the mixture to 40%

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Q8. A container contains 25 litre of milk. From this container, 5 litre of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?

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Q9. A solution contains a mixture of acid and base in the ratio 17 : 3. How much fraction of the mixture must be drawn off and substituted by the base so that the ratio of acid and base in the resultant mixture in the solution becomes 1 : 1?

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Q10. A solution contains petrol and kerosene in the ratio of 3 5. 16 liters of the solution has been replaced with petrol to create a ratio of 5 3. Find the original amount of kerosene in the solution.

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Q11. A mixture is made by mixing alcohol and water in the ratio 9 7. If ‘x’  litres of alcohol and ‘3x’ litres of water is mixed in 80 litres of mixture,  the new ratio becomes 13 14. Find the quantity of new mixture.

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Q12. In what ratio should Assam Tea costing Rs. 300 per kg be mixed with  Darjeeling Tea costing Rs. 400 per kg, so that by selling the mixture at  Rs. 408 per kg there is gain of 20%.

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Q13. Milk and water in a solution of 56 ml is such that after replacing 16 ml of the solution and adding 5 ml of water, the milk and water ratio is 5 4. What was the concentration of milk in the mixture initially?

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Q14. An alloy contains 40% of silver, 30% of copper, and 30% of nickel. How much silver (in kg) should be added to 25 kg of the alloy so that the new alloy contains 50% of silver?

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Q15. In what ratio should water be mixed with wine, that costs Rs. 60 per liter, so that the price of the resultant mixture is Rs.40 per litre?

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