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Answer:
13%
Step-by-step explanation:
the cost price of 1/3 of the sugar = 1/3 x 4500 = 1500
gain= x 100
let x = unknown selling price
(x - 1500) / 1500 = 0.1
to solve for x, multiply both sides of the equation by 1500
x - 1500 = 150
x = 1650
the selling price of the 1/3 of sugar that yielded a 10% gain is 1650
to determine the gain percent of the remaining sugar, the selling price of the remaining sugar has to be determined . Let the selling price be represented by a
Based o the information in the question and the previous solution, the following equation can be derived
{(a + 1650) - 4500} / 4500 = 0.12
Solve for a
Multiply both sides of the equation by 4500
a + 1650 - 4500 = 540
a = 3390 = selling price of 2/3 of the sugar
Percent gain that the 2/3 of the sugar should be sold can be determined by taking the following steps
first find cost price of the 2/3 of sugar = 2/3 x 4500 = 3000
gain = (3390 - 3000) /3000 = 0.13 = 13%