某商店经营一种商品,由于进货价降低了5%,而出售价不变,使得盈利率由m%提高到(m+6)%,求m的值.盈利率=(售价-成本)/成本
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![某商店经营一种商品,由于进货价降低了5%,而出售价不变,使得盈利率由m%提高到(m+6)%,求m的值.盈利率=(售价-成本)/成本](/uploads/image/z/7099364-20-4.jpg?t=%E6%9F%90%E5%95%86%E5%BA%97%E7%BB%8F%E8%90%A5%E4%B8%80%E7%A7%8D%E5%95%86%E5%93%81%2C%E7%94%B1%E4%BA%8E%E8%BF%9B%E8%B4%A7%E4%BB%B7%E9%99%8D%E4%BD%8E%E4%BA%865%25%2C%E8%80%8C%E5%87%BA%E5%94%AE%E4%BB%B7%E4%B8%8D%E5%8F%98%2C%E4%BD%BF%E5%BE%97%E7%9B%88%E5%88%A9%E7%8E%87%E7%94%B1m%25%E6%8F%90%E9%AB%98%E5%88%B0%28m%2B6%29%25%2C%E6%B1%82m%E7%9A%84%E5%80%BC.%E7%9B%88%E5%88%A9%E7%8E%87%3D%28%E5%94%AE%E4%BB%B7-%E6%88%90%E6%9C%AC%29%2F%E6%88%90%E6%9C%AC)
某商店经营一种商品,由于进货价降低了5%,而出售价不变,使得盈利率由m%提高到(m+6)%,求m的值.盈利率=(售价-成本)/成本
某商店经营一种商品,由于进货价降低了5%,而出售价不变,使得盈利率由m%提高到(m+6)%,求m的值.
盈利率=(售价-成本)/成本
某商店经营一种商品,由于进货价降低了5%,而出售价不变,使得盈利率由m%提高到(m+6)%,求m的值.盈利率=(售价-成本)/成本
设:原成本为a
a*(1+m%)=a*(1-5%)*[1+(m+6)%]
1+m%=(95%)*[m%+106%]
100+m=95m%+10070%
5m%=70%
m=14
设进价为X 售价为Y
(Y-X)/X=M% 1
(Y-X*(1-5%))/X*(1-5%)=(M+6)% 2
解方程 Y=X(M+100)% 带入2式 得M=14
设进货价为y,出售价为x,则有
m%=(x-y)/y (1)
(m+6)%=(x-0.95y)/0.95y (2)
(1)/(2)
则有`
m/(m+6)=0.95(x-y)/(x-0.95y)
0.95(x-y)*(m+6...
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设进货价为y,出售价为x,则有
m%=(x-y)/y (1)
(m+6)%=(x-0.95y)/0.95y (2)
(1)/(2)
则有`
m/(m+6)=0.95(x-y)/(x-0.95y)
0.95(x-y)*(m+6)=m(x-0.95y)
0.95*mx-0.95*my+0.95*6x-0.95*6y=mx-0.95my
0.05mx=0.95*6x-0.95*6y
5mx=95*6x-95*6y
m=19*6(x-y)/x=114(x-y)/x (3)
而由(1)有
m=100*(x-y)/y (4)
(3)=(4)
所以114(x-y)/x =100*(x-y)/y
114y=100x
x=1.14y (5)
代(5)入(4)
m=100*(1.14y-y)/y
m=14
希望还能让你满意!
收起
m%=(x-y)/y
(m+6)%=(x-0.95y)/0.95y
(m+6)%-m%=(x-0.95y)/0.95y - (x-y)/y