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How many kilograms of tea powder costing $₹ 31$ per kg be mixed with thirty six kilograms of tea powder costing $₹ 43$ per kg, such that the mixture when sold at $₹ 44$ per kg gives profit of 10%?

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12 kg

14 kg

16 kg

8 kg

answer is A.

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Detailed Solution

C.P. of the mixture $= \frac{44 \times 100}{110} = ₹ 40 per kg$

Using alligation rule, the required ratio

If $3 \to 36 kg$

Then $1 \to ?$

$= \frac{1 \times 36}{3} = 12 kg$

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