In what ratio should the merchant blend Assam…

In what ratio should the merchant blend Assam and Darjeeling for a blend costing ₹420 a kg?

Question 17

MediumOriginal 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.

In what ratio should the merchant blend Assam and Darjeeling for a blend costing ₹420 a kg?

3 : 1Correct answerYour answer2 : 1Correct answerYour answer1 : 2Correct answerYour answer1 : 1Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Assam : Darjeeling $= (480 - 420) : (420 - 360) = 60 : 60$ .
$= 1 : 1$ : ₹420 is exactly halfway.

Worth noting

$3 : 1$ is the ratio he uses now, which gives ₹390.

Concept: The alligation ratio
Typical timeTypical: 120 s
Your timeYours: —

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.

In what ratio should the merchant blend Assam and Darjeeling for a blend costing ₹420 a kg?

Question 17

Explanation