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Mixtures & Alligation · Question 19 of 60

Question 19

MediumOriginal question

Joseph mixes almonds costing ₹640 per kg and ₹800 per kg in the ratio 5:35 : 3 and sells the mixture at ₹840 per kg. What is his profit percentage?

Options for question 19

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Cost of 8 kg = 5×640+3×800=3200+2400=56005 \times 640 + 3 \times 800 = 3200 + 2400 = 5600 rupees, so ₹700 per kg.

  2. Profit per kg = 840−700840 - 700 = ₹140.

  3. Profit % = 140700×100=20%\frac{140}{700} \times 100 = 20\%.

Worth noting

16⅔% divides the profit by the selling price; profit % is always on cost price.

Concept
Mean price of a mixture, then profit percentage
Typical time
70 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.