SOLUTION: A woman bought 130 kg of eggs for 52 dollars. She sold half of them at a profit of 30%. The rest of the eggs began to go bad, she then reduced the selling price per kg by 12%. Cal

Question 1022648: A woman bought 130 kg of eggs for 52 dollars. She sold half of them at a profit of 30%. The rest of the eggs began to go bad, she then reduced the selling price per kg by 12%. Calculate
1. The new selling price per kg.
2. The percentage profit on the whole transaction if she threw away 5 kg of bad eggs.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
she bought 130 kilograms for 52 dollars.
that's a cost per kilogram of 52/130 = .4 dollars per kilogram.

at 30% profit, the selling price per kilogram would be .4 * 1.3 = .52 per kilogram.

if she reduced the selling price by 12%, then the new selling price would be .52 - .12 * .52 = .4576 per kilogram.

since she threw away 5 kilograms from the second batch, then she only sold 60 kilograms from the second batch.

she sold 65 kilograms from the first batch at .52 dollars per kilogram for a total revenue of 33.8 dollars.

she sold 60 kilograms from the second batch at .4576 dollars per kilogram for a total revenue of 27.456 dollars.

her total revenue was 33.8 + 27.456 = 61.256 dollars.

her total cost was 52 dollars.

her total profit was equal to 61.256 - 52 = 9.256 dollars.

her profit margin was 9.256 / 52 = .178 * 100 = 17.8%.

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