Practice Questions
Concept Explanation
Mixture problems use ratios of components. If milk : water = 5 : 3, total 8 parts.
When mixing two quantities in ratio a : b, first quantity = Total × a/(a+b).
Replacement and alligation extend this — here focus on ratio of ingredients.
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Q1 Easy
Milk and water are in ratio 4 : 1. In 25 litres, milk is:
ExplanationMilk = 25 × 4/5 = 20 L. -
Q2 Easy
Two alloys are mixed in ratio 3 : 2. If total is 50 kg, lighter part (2 parts) is:
Explanation50 × 2/5 = 20 kg. -
Q3 Medium
In 64 litres, milk:water = 5:3. Water is:
ExplanationWater = 64 × 3/8 = 24 L. -
Q4 Easy
Spirit and water ratio 7:3. Spirit in 40 L is:
Explanation40 × 7/10 = 28 L. -
Q5 Hard
8 kg of sugar mixed in ratio 2:3 at Rs. 30/kg and Rs. 50/kg costs:
ExplanationAverage price = Rs. 42/kg. Total cost = 8 × 42 = Rs. 336. -
Q6 Medium
5 kg mixture at 2:3 ratio of Rs. 30 and Rs. 50 per kg costs:
Explanation2×30 + 3×50 = 60+150 = Rs. 210. -
Q7 Easy
Acid and water 2:5 in 35 litres. Acid is:
Explanation35 × 2/7 = 10 L.
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Q8 Medium
Ratio of copper to zinc 4:3. Copper in 84 kg alloy:
Explanation84 × 4/7 = 48 kg. -
Q9 Easy
Two liquids mixed 5:4, total 36 L. Difference in volumes:
ExplanationDifference = 36 × 1/9 = 4 L. -
Q10 Hard
Milk:water 9:4. After adding 13 L water, ratio 3:2. Original milk:
ExplanationClassic: solve gives 27 L milk. -
Q11 Easy
Tea and sugar in ratio 8:1 weigh 45 g total. Sugar is:
Explanation45 × 1/9 = 5 g. -
Q12 Medium
Brass ratio copper:zinc = 5:2. Zinc in 28 kg is:
Explanation28 × 2/7 = 8 kg. -
Q13 Medium
Mixture 3:5:7 totalling 45 L. Largest component:
ExplanationLargest share = 45 × 7/15 = 21 L. -
Q14 Easy
Wine and water are mixed 3:2. Wine in 50 litres is:
ExplanationWine = 50 × 3/5 = 30 L.
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DS1 Easy
How much milk is in the mixture?
Statement IMilk : water = 5 : 3.
Statement IITotal mixture is 32 litres.
ExplanationMilk = 20 L. -
DS2 Medium
What is the ratio of the mixture?
Statement IComponent A is 18 L.
Statement IIComponent B is 12 L.
ExplanationRatio = 18:12 = 3:2.
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DS3 Medium
What is the total quantity?
Statement IMilk : water = 4 : 1.
Statement IIMilk is 36 litres.
ExplanationTotal = 36 × 5/4 = 45 L. -
DS4 Easy
Is milk more than water?
Statement IRatio milk : water = 7 : 5.
Statement IITotal is 60 litres.
ExplanationMilk = 35 L > water 25 L.