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Alligation & Mixtures · Question 20 of 88

Question 20

HardOriginal question

A grocer mixes 10 kg of tea at ₹60 per kg with 5 kg at ₹75 per kg and sells the mixture at ₹78 per kg. What is his profit per cent?

Options for question 20

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Cost of the mixture: 600+37515=65\frac{600 + 375}{15} = 65 rupees per kg.

  2. Profit =78−65=13= 78 - 65 = 13 on 65, that is 1365×100=20%\frac{13}{65} \times 100 = 20\%.

Worth noting

1313%13\frac{1}{3}\% works out the profit on the dearer tea's ₹75 alone; the cost is the mixture's mean price.

Concept
Profit on a mixture
Typical time
120 s
Your time
—
The rule this testsThe mean price of a mixture
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Ten questions from Alligation & Mixtures, at your own pace.

Practise this chapter →

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