Mixture and Alligation Questions with Solution (Basic)

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Q1. In what ratio must tea worth Rs. 9 per kg be mixed with tea worth Rs. 14 per kg so that the resultant mixture costs Rs. 10 per kg?

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Q2. In what ratio must water be mixed with milk worth Rs. 12 per litre so as to produce a mixture worth Rs. 10 per litre?

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Q3. In an examination out of 1000 students 70% boys and 80% girls are passed. If total pass percentage was 76%, find the number of girls.

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Q4. If Rs. 85 is divided among 100 students such that each boy got a rupee and each girl got 50 P, find the number of girls.

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Q5. A manufacturer mixes two kinds of tea costing Rs 35 and Rs 40 a Kg in the ratio of 8:7. What is his profit or loss percent if he sells the mixture @ Rs 37.50 a Kg?

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Q6. Find the ratio in which quantity of coffee of first kind of worth Rs 60.5 per kg mix to the second kind of coffee of worth Rs 35.5 per kg so that the resulting mixture is of worth Rs 40.5 per Kg

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Q7. A grocer wants to know the mixing ratio so that on mixing a sugar at Rs 32 a kg and Rs 48 a kg, he makes a mixture worth Rs 40 a kg.

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Q8. In what ratio must milk be mixed with water worth Rs. 40 per gallon so as to produce a mixture worth Rs. 30 per gallon?

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Q9. A shopkeeper mix mustard oil worth Rs. 90 per kg with mustard worth Rs. 60 per kg, so that the mixture costs him Rs. 75 a kg. Find the proportional ratio?

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Q10. A wholesaler mixes two kinds of rice costing Rs 35 and Rs 55 a Kg . In what proportion must he mix the rice so that the mixture costs him Rs  Rs 42 a Kg?

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Q11. 8 litres are drawn from a cask full of wine and is then filled with water.  This operation is performed three more times. The ratio of the quantity

of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?

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Q12. A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at  18% profit is

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Q13. Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in  the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the  third variety per kg will be____?

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Q14. How many kilograms of sugar costing Rs. 9 per kg must be mixed with  27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 %  by selling the mixture at Rs. 9.24 per Kg ?

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Q15. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg.  If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price  per kg of the mixed variety of rice is

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Q16. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When  9 litres of mixture are drawn off and the can is filled with B, the ratio of  A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

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Q17. In what proportion water must be added to spirit to gain 20% by selling  it at the cost price?

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Q18. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

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Q19. A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacement, what is the ratio of milk and water in the resultant mixture?

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Q20. In what ratio, water must be mixed with fruit juice costing Rs.24 per litre so that the juice would be worth of Rs.20 per litre?

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