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A trader bought some eggs at sh 64 per dozen and sold two-thirds of them at sh 240 per tray and the other one third at sh 225 per tray. In so doing, she made a profit of sh 450. Given that one tray holds 30 eggs,determine:
(a) The number of eggs she bought.
(b) The percentage profit she made giving your answer to one decimal place.
(c) The percentage profit she would have made if she sold all the eggs at sh 240 per tray.