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Averages · Question 22 of 62

Question 22

EasyOriginal question

A grocer mixes 12 kg of rice costing ₹45 per kg with 8 kg of rice costing ₹60 per kg. What is the cost price per kg of the mixture?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Cost of the mixture = 12×45+8×60=540+48012 \times 45 + 8 \times 60 = 540 + 480 = ₹1,020.

  2. Weight = 12+8=2012 + 8 = 20 kg.

  3. Cost per kg = ₹102020\frac{1020}{20} = ₹51.

Worth noting

₹52.50 is the plain average of the two prices; ₹1,020 is the total cost, not the cost per kg.

Concept
Average price per kg of a mixture
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.