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Alligation & Mixtures · Question 44 of 88

Question 44

HardOriginal question

A shopkeeper sells part of his stock at a 10% loss and the rest at a 20% profit, and makes 5% profit on the whole. In what ratio were the two parts?

Options for question 44

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Treat the loss as −10%-10\%: (20−5):(5−(−10))=15:15(20 - 5) : (5 - (-10)) = 15 : 15.

  2. So the parts are equal, 1:11 : 1.

Worth noting

1:31 : 3 or 3:13 : 1 comes from taking the loss as +10%+10\%; a loss sits below 0.

Concept
Alligation with profit and loss
Typical time
120 s
Your time
—
The rule this testsThe rule of alligation
Practise this chapter →

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

Practise this chapter →

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