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Alligation & Mixtures · Question 15 of 88

Question 15

MediumOriginal question

8 kg of sugar at ₹40 per kg is mixed with 12 kg at ₹45 per kg. What is the price per kg of the mixture?

Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Total cost: 8×40+12×45=8608 \times 40 + 12 \times 45 = 860 rupees, for 20 kg.

  2. Mean price =86020=43= \frac{860}{20} = 43 rupees per kg.

Worth noting

₹42.50 averages the two prices as if equal amounts were mixed.

Concept
The weighted mean price
Typical time
90 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.