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Mixtures & Alligation · Question 1 of 60

Question 1

EasyOriginal question

Kavya's grocery mixes rice costing ₹42 per kg with rice costing ₹54 per kg so that the mixture is worth ₹46 per kg. In what ratio (cheaper : dearer) must the two be mixed?

1 : 3

Correct answerYour answer

1 : 2

Correct answerYour answer

3 : 1

Correct answerYour answer

2 : 1

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Cheaper share = dearer price − mean = $54 - 46 = 8$ .
Dearer share = mean − cheaper price = $46 - 42 = 4$ .
Cheaper : dearer = $8 : 4 = 2 : 1$ .

Worth noting

The difference on the dearer side belongs to the CHEAPER variety. Swapping them gives $1 : 2$ , the tempting slip.

Concept: Alligation rule for the ratio of two prices around a mean price
Typical timeTypical: 40 s
Your timeYours: —

The rule this testsThe alligation rule

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