LOSS PERCENTAGE : The loss percent is the loss that would be made for a C.P. of Rs 100. That is,
Loss percent = Loss / C.P.*100
Thus, in case of loss (i.e., when S.P. < C.P.), we have
(i) Loss = C.P.- S.P.
(ii) S.P. = C.P. – Loss
(iii) C.P. = S.P. + Loss
(iv) Loss % = LOSS/ C.P.* 100
(v) Loss = C.P.*Loss % /100
(vi) S.P. = C.P. – Loss
S.P – C.P – C.P*Loss%/100
S.P. = (100-Loss% /100) * C.P
(vii) C.P. = 100* S. P / (100-Loss%)
Example : If the cost price of 18 mangoes is the same as the selling price of 16 mangoes, find the gain percent.
Solution : Let the cost price of each mango be Re 1. Then,
C.P. of 16 mangoes = Rs 16
S.P. of 16 mangoes = Rs 18
Gain = S.P. – C.P. = Rs (18- 16) = Rs 2.
Now, Gain% = ( Gain/ C.P*100)%
Hence, \( Gain % = 12.5% \)