How many kilograms of sugar costing Rs. 9 per | vedclass

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(D) Let the cost price of the mixture be $CP$. Given that the selling price is $Rs. 9.24$ per $kg$ with a gain of $10\%$.$CP = \frac{100}{110} 	imes

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$63$

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(D) Let the cost price of the mixture be $CP$. Given that the selling price is $Rs. 9.24$ per $kg$ with a gain of $10\%$.$CP = \frac{100}{110} 	imes 9.24 = \frac{10}{11} 	imes 9.24 = 8.4$.Using the rule of alligation:Cost of first type of sugar = $9$Cost of second type of sugar = $7$Mean price = $8.4$Difference between mean price and second cost = $8.4 - 7 = 1.4$Difference between first cost and mean price = $9 - 8.4 = 0.6$Ratio of quantities = $1.4 : 0.6 = 14 : 6 = 7 : 3$.Let the quantity of the first type of sugar be $x\, kg$.Then,$\frac{x}{27} = \frac{7}{3}$.$x = \frac{7}{3} 	imes 27 = 7 	imes 9 = 63\, kg$.

How many kilograms of sugar costing $Rs. 9$ per $kg$ must be mixed with $27\, kg$ of sugar costing $Rs. 7$ per $kg$ so that there may be a gain of $10\%$ by selling the mixture at $Rs. 9.24$ per $kg$?

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