Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the cost price of 15 kg Masoor dal? I. 12 kg Massor dal is mixed with 15 kg of Arhar dal and the mixture is sold for Rs.36.66/kg after earning a profit of 20%. II. The ratio of cost price of Masoor dal and Arhar dal is 5 ∶ 7.

<p>If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.</p>

<p>If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.</p>

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

If the data even in both the statements I and II together are not sufficient to answer the question.

If the data in both statements I and II together are needed to answer the question.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the cost price of 15 kg Masoor dal? I. 12 kg Massor dal is mixed with 15 kg of Arhar dal and the mixture is sold for Rs.36.66/kg after earning a profit of 20%. II. The ratio of cost price of Masoor dal and Arhar dal is 5 ∶ 7. Correct Answer If the data in both statements I and II together are needed to answer the question.

Using statement I

Let the price of Masoor dal and Arhar dal be x and y respectively

Selling price of dal = 36.66/kg

A profit of 20% is earned

∴ Cost price of dal = 36.66 × (100/120) = 30.56

⇒ (12x + 15y)/27 = 30.56

⇒12x + 15y = 30.56 × 27 = 825.12 ≈ 825

Statement I alone is not sufficient to answer the question

Using statement II

The ratio of cost price of Masoor dal and Arhar dal is 5 ∶ 7

⇒ Cost price of Massor dal and Arhar dal be 5x and 7x respectively

Statement II alone is not sufficient to answer the question

Using statement I and statement II together

⇒ (12 × 5x + 15 × 7x) = 825

⇒ 60x + 105x = 825

⇒ x = 825/165 = 5

∴ Cost price of Masoor dal = 5 × 5 = Rs.25/kg

Cost price of 15 kg Masoor dal

⇒ 25 × 15 = Rs.375

∴ The data in both statements I and II together are needed to answer the question.

মোঃ আরিফুল ইসলাম

Feb 20, 2025

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