Nigel sold each reduced price melon for $ 0.95
Given that:
Number of boxes Nigel brought: 12
Melons per box: 12
Price paid per box: $15
3/4 of all melons sold in $1.60 each.
Total profit at the end = 15%
rest 1/4 melons sold at reduced $x price (say).
Total melons = 12 times 12 = 144
Total cost in starting = 12 times 15 = $180
3/4 melons = 36 times 3 = 108 melons
3/4 melons sold at price = 108 times 1.6
rest 1/4 melons sold at price = 36 times x
Thus by using profit percent calculated on cost price:
[tex]Profit \: \: percent= \dfrac{S.P. - C.P}{ C.P.} \times 100\\\\15 = \dfrac{108 \times 1.6 + 36 \times x - 180}{180}\times 100\\or\\27 + 180 - 172.8 = 36x\\or\\ 0.95 = x\\[/tex]
Thus Nigel sold each reduced price melon for $ 0.95.
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