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Alligation & Mixtures · Question 1 of 88

Question 1

EasyOriginal question

5 kg of rice at ₹40 per kg is mixed with 3 kg of rice at ₹56 per kg. What is the price per kg of the mixture?

Options for question 1

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Total cost: 5×40+3×56=200+168=3685 \times 40 + 3 \times 56 = 200 + 168 = 368 rupees, for 8 kg.

  2. Mean price =3688=46= \frac{368}{8} = 46 rupees per kg.

Worth noting

₹48 averages the two prices as if equal amounts were mixed; there is more of the cheaper rice.

Concept
The weighted mean price
Typical time
60 s
Your time
—
The rule this testsThe mean price of a mixture
Practise this chapter →

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

Practise this chapter →

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