Exams › IBPS PO › Quantitative Aptitude
Given below are two quantities, A and B. Based on the given information, determine the relation between the two quantities. Quantity A: In a 40 L mixture of milk and water, water is 10%. Find the amount of water to be added to make the water concentration 50%. Quantity B: In a 100 L mixture of petrol and spirit, spirit is 2%. Find the amount of spirit to be added to make the spirit concentration 30%.
- Quantity A > Quantity B
- Quantity A < Quantity B
- Quantity A ≥ Quantity B
- Quantity A ≤ Quantity B
Correct answer: Quantity A < Quantity B
Solution
In A, initial water = 10% of 40 = 4 L. If x L water is added, then (4+x)/(40+x)=1/2, giving x=32 L. In B, initial spirit = 2% of 100 = 2 L. If x L spirit is added, then (2+x)/(100+x)=3/10, giving x=42.86 L, so Quantity A < Quantity B.
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