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Alligation & Mixtures · Question 5 of 88

What does a kg of the merchant's blend cost him?

Question 5

EasyOriginal question

A tea merchant has Assam tea at ₹360 a kg and Darjeeling tea at ₹480 a kg. He blends 30 kg of Assam with 10 kg of Darjeeling and sells the blend at ₹468 a kg.

What does a kg of the merchant's blend cost him?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Cost: 30×360+10×480=10,800+4,800=15,60030 \times 360 + 10 \times 480 = 10{,}800 + 4{,}800 = 15{,}600 rupees for 40 kg.

  2. 15,60040=390\frac{15{,}600}{40} = 390 rupees a kg.

Worth noting

₹420 is the simple average of 360 and 480; there is three times as much Assam.

Concept
The weighted mean price
Typical time
90 s
Your time
—
The rule this testsThe mean price of a mixture
Practise this chapter →

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

Practise this chapter →

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