9. A trader bought some eggs at Ksh. 64 per dozen and sold two thirds of them at Ksh. 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
(i) Number of eggs she bought (3 marks)
(ii) Percentage profit she made (2 marks)
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Answer:
(i) No. of eggs bought = 180
(ii) Profit percentage =450/960*100
=46.9%
(i) Let no. of egg as x, then
Money he paid for eggs = 64/12x = 16/3x
Money he get from
solding two third eggs =2/3x*240/30
=16/3x
Money get from one third= x/3*225/30
=5/2
Profit= [16/3x+5/2x] - 16/3x
5/2x = 450
x =450*2/5
=180
Profit%=450/960*100=46.9%
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