Q1. A grocer purchased 2 kg of rice at the rate of Rs. 15 per kg and 3 kg of rice at the rate of Rs. 13 per kg. At what price per kg should he sell the mixture to earn 100/3% profit on the cost price?
(a) Rs. 28.00
(b) Rs. 20.00
(c) Rs. 18.40
(d) Rs. 17.40
(e) None of these
Q2. A container has 30 L of water. If 3L of water in replaced by 3L of spirit and this operation is repeated twice. What will be the quantity of water in the new mixture?
(a) 24L
(b) 23L
(c) 24.3L
(d) 23.3L
(e) None of these
Q3. Three container A, B and C have the mixture of alcohol and water in the ratio 5 : 7, 7 : 2 and 3 : 5, respectively. If all mixture of all three vessels poured into a single vessel, then ratio of total quantity of alcohol and water will be
(a) 107 : 105
(b) 103 : 105
(c) 111 : 113
(d) 113 : 103
(e) None of these
Q4. Two bottles each capacity has 5L have mixture of milk and water in the ratio 2 : 1 and 3 : 1, respectively. If both bottles are emptied into a bigger vessel, then the ratio of milk to water in bigger vessel is
(a) 17 : 5
(b) 17 : 7
(c) 15 : 17
(d) 18 : 7
(e) None of these
Q5. In a 140L of mixture of milk and water percentage of water is only 30%. This milkman gave 20L of this mixture to a customer. Then, the added equal quantities of pure milk and water to the remaining mixture. As a result the respective ratio of milk and water in the mixture become 2 : 1. What was the quantity of milk added?
(a) 12L
(b) 16L
(c) 18L
(d) 8L
(e) 10L
Q6. Two barrels contain a mixture of ethanol and gasoline. The content of the ethanol is 60% in the first barrel and 30% in the second barrel. In what ratio must be mixtures from the first and the second barrels be taken, to from a mixture containing 50% ethanol?
(a) 1 : 2
(b) 2 : 1
(c) 2 : 3
(d) 3 : 2
(e) None of these
Q7. In a mixture of milk and water, the proportion of water by weight was 75%. If in the 60 gm mixture, 15 gm water was added, what would be the percentage of what in the new mixture?
(a) 75%
(b) 88%
(c) 90%
(d) 100%
(e) None of these
Q8. The wheat sold by a grocer contained 10% low quality wheat. What quantity of good quality wheat should be added to 150 kg of wheat, so that the percentage of low quality wheat becomes 5%?
(a) 150 kg
(b) 135 kg
(c) 50 kg
(d) 85 kg
(e) None of these
Q9. In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added, so that the proportion of iron becomes 5%?
(a) 3 kg
(b) 4 gm
(c) 5 gm
(d) 6 kg
(e) None of these
Q10. A man purchased 35 kg of rice at the rate of Rs. 9.50 per kg and 30 kg at the rate of Rs. 10.50 per kg. He mixed the two. Approximately, at what price (in Rupees) per kg should he sell the mixture to make 35% profit in the transaction?
(a) 12
(b) 12.50
(c) 13
(d) 13.50
(e) 11
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MAHENDRA GURU