Mixture and Alligation
6 solved SSC CGL Quantitative Aptitude previous year questions on Mixture and Alligation, each with the correct answer and a full explanation.
Q1
In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?
✓ Correct answer: a) 2:1
ExplanationThe cost price of mixed the sugar = ₹35 per kg Using Alligation; ∴ Ratio of sugars to be taken = 12 ∶ 6 = 2 ∶ 1 Hence, Option A is the correct answer.
Q2
How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?
✓ Correct answer: d) 80
ExplanationGiven, Total mixture = 80 litres According to the question, Milk in mixture = litres Water in mixture = 80 – 8 = 72 litres To make 5 % milk solution, milk will remain the same Let new mixture = a litres Milk in new mixture = litres Water in new mixture = 160 – 8 = 152 litres Water to be added = 152 – 72 = 80 litres Hence, Option D is the correct answer.
Q3
Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4: 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?
✓ Correct answer: b) 73: 116
ExplanationMilk in Bottle A = Water in bottle A = Milk in Bottle B = Water in bottle B = Milk in Bottle C = Water in bottle C = Milk content in the new solution = Water content in the solution = Milk : Water content in the new solution = Hence, Option B is the correct answer.
Q4
If two qualities of pulses 'X' and 'Y' priced at Rs 100 and Rs 150 per kg are mixed in the ratio 7:20, then what is the price (in Rs) of this mixture of pulses (correct to the nearest Rs) ?
✓ Correct answer: a) 137
ExplanationLet, price of mixture pulse is Rs. per kg then, According to question, Rate of mixture pulse, Hence, rate of mixture pulse is Rs.137 per kg.Hence, option A is the correct answer.
Q5
One quality of rice at ₹45 per kg is mixed with another quality at a certain rate in the ratio of 3 :2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice?
✓ Correct answer: b) ₹57.5
ExplanationLet the worth of the second mixture of rice is x rupees per kg.By method of allegation, Hence, Option B is the correct answer.
Q6
If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?
✓ Correct answer: d) 80 litres
ExplanationLet, x litre of milk should be added.In 80 litres of mixture the quantity of milk= litre In 80 litres of mixture the quantity of water= litre According to the question, Hence, Option D is the correct answer.
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