Question : In what ratio tea of Rs. 60 per kg should be mixed with tea of Rs. 70 per kg so that on selling the mixture at Rs. 80 per kg there is a profit of 25%?
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 5 : 2
Option 4: 4 : 1
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Correct Answer: 3 : 2
Solution :
Given,
Cost of tea1 = Rs. 60/kg
Cost of tea2 = Rs. 70/kg
Selling price of the mixture = Rs. 80/kg
Profit = 25%
Cost price of the mixture = $\frac{80}{1.25}$ = Rs. 64/kg
Using rule of alligation, we get,
So, the required ratio = (70 – 64) : (64 – 60) = 6 : 4 = 3 : 2
Hence, the correct answer is 3 : 2.
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