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Mixtures & Alligation · Question 26 of 60

Question 26

MediumOriginal question

A kirana store mixes three grades of rice costing ₹30, ₹36 and ₹45 per kg in the ratio 2:3:12 : 3 : 1. What is the cost of the mixture per kg?

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Cost of 6 kg = 2×30+3×36+1×45=60+108+45=2132 \times 30 + 3 \times 36 + 1 \times 45 = 60 + 108 + 45 = 213 rupees.

  2. Cost per kg = 2136=35.50\frac{213}{6} = 35.50 rupees.

Worth noting

₹37 is the plain average of the three prices. ₹38 attaches the weights 2 and 1 to the wrong prices.

Concept
Weighted mean price of three ingredients
Typical time
60 s
Your time
—
The rule this testsThe alligation rule
Practise this chapter →

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

Practise this chapter →

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