The ratio in which tea costing Rs. 192 per kg | vedclass

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(A) Let the cost price of the mixture be $CP_{mix}$.Given that the selling price of the mixture is $Rs. 194.40$ per $kg$ and the profit is $20\%$.$CP_

Vedclass · Accepted Answer

$2:5$

Vedclass · Answer

(A) Let the cost price of the mixture be $CP_{mix}$.Given that the selling price of the mixture is $Rs. 194.40$ per $kg$ and the profit is $20\%$.$CP_{mix} = \frac{SP}{1 + 	ext{Profit}\%} = \frac{194.40}{1.20} = Rs. 162$ per $kg$.Using the rule of alligation:Cost of Type $I$ tea $= 192$Cost of Type $II$ tea $= 150$Mean price $= 162$Difference $1 = |162 - 150| = 12$Difference $2 = |192 - 162| = 30$The ratio of Type $I$ to Type $II$ tea is $12 : 30$.Simplifying the ratio: $12 : 30 = 2 : 5$.

The ratio in which tea costing $Rs. 192$ per $kg$ is to be mixed with tea costing $Rs. 150$ per $kg$ so that the mixed tea,when sold for $Rs. 194.40$ per $kg$,gives a profit of $20\%$,is:

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