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Mixtures & Alligation · Question 14 of 60

Question 14

MediumOriginal question

Fatima mixes two teas costing ₹120 per kg and ₹150 per kg. She sells the mixture at ₹165 per kg and makes a 25% profit. In what ratio (cheaper : dearer) did she mix them?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Cost price of the mixture = 1651.25=132\frac{165}{1.25} = 132 rupees per kg.

  2. Cheaper : dearer = (150−132):(132−120)=18:12(150 - 132) : (132 - 120) = 18 : 12.

  3. = 3:23 : 2.

Worth noting

Taking the cost as 75% of ₹165 (₹123.75) is the common error — profit is on cost, so divide by 1.25. That error leads to 7:17 : 1.

Concept
Mean cost price recovered from selling price, then alligation
Typical time
75 s
Your time
—
The rule this testsThe alligation rule
Practise this chapter →

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

Practise this chapter →

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