By selling 144 hens, Mala lost the S. P. of 6 hens. Find her loss%.
Let C.P be the cost price of a hen and let S.P be the selling price of a hen.
Therefore the cost price of 144 hens is 144C.P. and selling price of 144 hens is 144S.P.
Thus, Loss = 144(C.P)-144(S.P)
But loss is given as selling price of 6 hens, that is, 6(S.P)
Thus,
6S.P = 144(C.P)-144(S.P)
150S.P= 144C.P
C.P./S.P = 144/150
C.P./S.P = 0.96
Loss percentage = (Loss/C.P)*100
Loss percentage = [(C.P-S.P)/C.P]*100
Loss percentage = [1-(S.P/C.P)]*100
Thus,
Loss percentage = [1-0.96]*100
Loss percentage = 4%