**Dear Readers,**

**Q1. A dairy man pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. Find the proportion of the water to that of the milk received by the customers.**

(a) 1 : 15

(b) 1 : 10

(c) 1 : 20

(d) 1 : 12

(e) None of these

**Q2. Mr X mixed 10 kg of variety A rice with 15 kg of variety B rice and sold the mixture at a price 40% more than that of A. He did not get any profit. What is the ratio of the cost price of variety A to that of B per kg?**

(a) 2 : 5

(b) 3 : 5

(c) 4 : 5

(d) 5 : 8

(e) None of these

**Q3. A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid A was contained in the jar?**

(a) 14 litres

(b) 18 litres

(c) 20 litres

(d) 16 litres

(e) None of these

**Q4. A trader has 50 kg of rice, a part of which he sells at 10 percent profit and the rest at 5 percent loss. He gains 7 percent on the whole. What is the quantity sold at 10 percent gain and 5 percent loss?**

(a) 30 kg, 10 kg

(b) 40 kg, 15 kg

(c) 35 kg, 40 kg

(d) 40 kg, 10 kg

(e) None of these

**Q5. The wheat sold by agrocer contained 10% low quality wheat. What quantity of good quantity wheat should be added to 150 kg of wheat so that the percentage of low quality wheat becomes 5%?**

(a) 85 kg

(b) 50 kg

(c) 135 kg

(d) 150 kg

(e) None of these

**Q6. One type of liquid contains 25% of milk, the other contains 30% of milk. A container is filled with 6 parts of the first liquid and 4 parts of the second liquid. The percentage of milk in the mixture is:**

(a) 27%

(b) 31%

(c) 29%

(d) 33%

(e) None of these

**Q7. Two gallons of a mixture of spirit and water contain 12% of water. They are added to 3 gallons of another mixture, containing 7% of water and half a gallon of water is then added to the whole. Find the percentage of water in the resulting mixture.**

**Q8. There are 2 bottles containing a mixture of wine, water and alcohol. The first bottle contains wine, water and alcohol in the ratio 3 : 5 : 2. The second bottle contains water and wine in the ratio 5 : 4. 1 litre of the first and 2 litres of the second are mixed together. What fraction of the mixture is alcohol?**

(a) 1/15 litres

(b) 6/13 litres

(c) 2/15 litres

(d) 6/19 litres

(e) None of these

**Q9. A bottle contains three-fourths of milk and the rest water. How much of the mixture must be taken away and replaced by an equal quantity of water so that the mixture has half milk and half water?**

**Q10. A bottle is full of dettol. One-third of it is taken out and then an equal amount of water is poured into the bottle to fill it. This operation is done four times. Find the final ratio of dettol and water in the bottle.**

(a) 13 : 55

(b) 20 : 74

(c) 16 : 65

(d) 10 : 48

(e) None of these

**Q11. An alloy of gold and silver weighs 50 g. It contains 80% gold. How much gold should be added to the alloy so that percentage of gold is increased to 90?**

(a) 50 g

(b) 60 g

(c) 30 g

(d) 40 g

(e) None of these

**Q12. Vijay purchased two different kinds of alcohol. In the first mixture, the ratio of alcohol to water is 3 : 4 and the second mixture it is 5 : 6. If he mixes, the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 : 5, the quantity of the first mixture (whose ratio is 3 : 4) that is required to make 18 litres of the third kind of mixture is:**

(a) 6

(b) 7

(c) 8

(d) 9

(e) None of these

**Q13. An alloy contains only zinc and copper. One such alloy weighing 15 gm contains zinc and copper in the ratio of 2 : 3 by weight. If 10 gm of zinc is added then find what amount of copper has to be removed from the alloy such that the final alloy has zinc and copper in the ratio of 4 : 1 by weight?**

(a) 5 gm

(b) 5.5 gm

(c) 6 gm

(d) 4.8 gm

(e) None of these

**Q14. There are two alloys made up of copper and aluminum. In the first alloy copper is half as much as aluminum and in the second alloy, copper is thrice as much as aluminum. How many times the second alloy must be mixed with the first alloy to get the new alloy in which copper is twice as much as aluminum?**

(a) 2

(b) 3

(c) 4

(d) 5

(e) None of these

**Q15. A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% sugar?**

(a) 10

(b) 5

(c) 15

(d) 20

(e) None of these

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