Answer :
It's found that around 399 kilograms of the more expensive sugar need to be added to achieve the desired profit margin.
To determine the amount of sugar to mix, let's set up an equation based on the given conditions. Let "x" represent the amount of sugar (in kilograms) costing Rs.5.10/kg to be mixed.
The cost of the mixture is equal to the cost of the sugar being added plus the cost of the existing sugar:
Cost of mixture = Cost of sugar to be added + Cost of existing sugar
Using the given information, the equation becomes:
5.10x + 3.85 * 126 = (x + 126) * 4.80
Now solve for "x":
5.10x + 485.1 = 4.80x + 604.8
0.30x = 119.7
x = 399
Approximately 399 kilograms of sugar costing Rs.5.10/kg must be mixed with 126 kg of sugar costing Rs.3.85/kg to gain 20% by selling the mixture at Rs.4.80/kg.
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