How many kg of sugar costing ₹ 5.75 per kg sh | vedclass

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(B) Using the rule of alligation:Cost of cheaper sugar = ₹ $4.50$ per $kg$Cost of superior sugar = ₹ $5.75$ per $kg$Mean price of mixture = ₹ $5.50$ p

Vedclass · Accepted Answer

$300$

Vedclass · Answer

(B) Using the rule of alligation:Cost of cheaper sugar = ₹ $4.50$ per $kg$Cost of superior sugar = ₹ $5.75$ per $kg$Mean price of mixture = ₹ $5.50$ per $kg$Difference for superior sugar = $5.75 - 5.50 = 0.25$Difference for cheaper sugar = $5.50 - 4.50 = 1.00$Ratio of cheaper sugar to superior sugar = $1.00 : 0.25 = 4 : 1$Let the quantity of superior sugar be $x \, kg$.Given,quantity of cheaper sugar = $75 \, kg$.Therefore,$\frac{75}{x} = \frac{4}{1}$$4x = 75$$x = \frac{75}{4} = 18.75 \, kg$.Wait,re-evaluating the ratio based on the provided image logic:Ratio of (Cheaper : Superior) = $(5.75 - 5.50) : (5.50 - 4.50) = 0.25 : 1.00 = 1 : 4$.So,$\frac{	ext{Quantity of Cheaper}}{	ext{Quantity of Superior}} = \frac{1}{4}$.Given,Quantity of Cheaper = $75 \, kg$.$\frac{75}{x} = \frac{1}{4}$$x = 75 	imes 4 = 300 \, kg$.

How many $kg$ of sugar costing ₹ $5.75$ per $kg$ should be mixed with $75 \, kg$ of cheaper sugar costing ₹ $4.50$ per $kg$,so that the mixture is worth ₹ $5.50$ per $kg$?

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