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Averages · Question 26 of 62

Question 26

EasyOriginal question

A tea merchant blends two teas in the ratio 3:23 : 2 by weight. The first costs ₹280 per kg and the second ₹380 per kg. What is the cost per kg of the blend?

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Take 3 kg of the first and 2 kg of the second.

  2. Cost = 3×280+2×380=840+7603 \times 280 + 2 \times 380 = 840 + 760 = ₹1,600 for 5 kg.

  3. Cost per kg = ₹16005\frac{1600}{5} = ₹320.

Worth noting

₹330 is the plain average; ₹340 uses the ratio the wrong way round (2 parts of the cheaper tea).

Concept
Weighted average when quantities are given as a ratio
Typical time
40 s
Your time
—
The rule this testsWeighted average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.