题目
A milkman purchases milk at $5 per litre and mixes 4 litres of water in it. By selling the resultant mixture at the rate of $6 per litre, he earns a profit of 40%. The amount of mixture he had with him to sell was:
解析
一个送奶工以每升\(5\)美元的价格购买牛奶,并在其中混合\(4\)升水。通过以每升\(6\)美元的价格出售所得混合物,他获得了\(40\%\)的利润。他要出售的混合物总量是多少?
设送奶工购买的牛奶量为\(x\)升,则混合后溶液总量为\((x + 4)\)升。
购买牛奶的成本为\(5x\)美元。
因为出售混合物时获得\(40\%\)的利润,且售价为每升\(6\)美元,根据利润公式:售价=成本×(1 +利润率),可得到方程:
\(6(x + 4)=5x\times(1 + 40\%)\)
\(x = 24\)升
那么混合后溶液总量\(x+4=24 + 4=28\)升
综上,答案是E选项。