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Mixtures & Alligation · Question 3 of 60

Question 3

EasyOriginal question

A sweet shop mixes 3 kg of sugar at ₹38 per kg with 5 kg of sugar at ₹46 per kg. What is the price of the mixture per kg?

Options for question 3

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Total cost = 3×38+5×46=114+230=3443 \times 38 + 5 \times 46 = 114 + 230 = 344 rupees.

  2. Price per kg = 3448=43\frac{344}{8} = 43 rupees.

Worth noting

₹42 is the simple average of 38 and 46; it would be right only for equal quantities. ₹41 comes from swapping the quantities.

Concept
Weighted mean price of two quantities
Typical time
40 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.