Assertion (A): To get rice worth ₹50 per kg from kinds at ₹40 and ₹70 per kg, they are mixed in the ratio 2 : 1.
Reason (R): The quantities mixed are in the inverse ratio of the differences of their prices from the mean price.

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

The differences are $50 - 40 = 10$ and $70 - 50 = 20$ ; inverted, $20 : 10 = 2 : 1$ . A is true.
R is the rule of alligation itself, and it is how A is found.

Concept: Why the rule of alligation works
Typical timeTypical: 90 s
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The rule this testsThe rule of alligation

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Ten questions from Alligation & Mixtures, at your own pace.

Assertion (A): To get rice worth ₹50 per kg from kinds at ₹40 and ₹70 per kg, they are mixed in the ratio 2 : 1.Reason (R): The quantities mixed are in the inverse ratio of the differences of their prices from the mean price.

Explanation

Assertion (A): To get rice worth ₹50 per kg from kinds at ₹40 and ₹70 per kg, they are mixed in the ratio 2 : 1.
Reason (R): The quantities mixed are in the inverse ratio of the differences of their prices from the mean price.