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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: In what ratio should flour costing Rs. 20 per kg be mixed with flour costing Rs. 25 per kg, such that the mixture costs Rs. 22 per kg? Quantity B: In what ratio should sugar costing Rs. 27 per kg be mixed with that costing Rs. 30 per kg, so as to earn a profit of 15% after selling the mixture for Rs. 32.2 per kg?

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: In what ratio should flour costing Rs. 20 per kg be mixed with flour costing Rs. 25 per kg, such that the mixture costs Rs. 22 per kg? Quantity B: In what ratio should sugar costing Rs. 27 per kg be mixed with that costing Rs. 30 per kg, so as to earn a profit of 15% after selling the mixture for Rs. 32.2 per kg? Correct Answer Quantity A < Quantity B

Quantity A:

Let the ratio be x ∶ y

Cost price of 1 kg mixture = 20x + 25y = 22(x + y)

⇒ 22x - 20x = 25y - 22y

⇒ 2x = 3y

⇒ x ∶ y = 3 ∶ 2

⇒ Quantity A = 1.5

Quantity B:

Cost price of 1 kg mixture + profit = Selling price of 1 kg mixture

⇒ Cost price of 1 kg mixture + 15% of Cost price = Selling price

⇒ Cost price of 1 kg mixture = 32.2/1.15 = Rs. 28

Let the ratio be x ∶ y

⇒ 27x + 30y = 28(x + y)

⇒ 28x - 27x = 30y - 28y

⇒ x = 2y

⇒ x ∶ y = 2 ∶ 1

⇒ Quantity B = 2

∴ Quantity A < Quantity B

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