Question

A bakery bakes cake with the expectation that it will earn a profit of 40% by selling each cake at marked price. But during the delivery to the showroom 16% of the cakes were completely damaged and hence could not be sold. 24% of the cakes were slightly damaged and hence could be sold at 80% of the cost price. The remaining 60% of the cakes were sold at marked price. What is the percentage profit in the whole consignment?

Answer 1

Let CP be x
total cp`=nx`
marked price=`y`
here, `y= x + x xx 40%`
`= x + x xx 0.4`
`y= 1.4x`
total sp=`(16%) of nxx 0 + (24% of n)(0.8x) + (60% of n)(1.4x)`
`= 24/100 xx n xx 8/10x + 60/100 xx n xx 14x/10`
`= (192nx)/1000 + (840nx)/1000`
total sp `= 1032/1000 nx= 1.032nx`
total cp=`nx`
profit=`1.032nx-nx`
`= 0.032nx`
%age prfit=`(0.032nx)/(nx) xx 100 = 3.20%`
Answer