by selling 144 hens, kamal lost s.p. of 6 hens. find his loss%. had he purchased them for rs 7200. what would have been the s.p. of one hen
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Let SP of 1 hen = Rs.k ==> SP of 144 hens = Rs.144k
Loss = SP of 6 hens = 6k. ==> CP = SP + Loss = 144k + 6K = 150k.
Hence loss % = (Loss/CP) x 100 = (6k/150k) X 100 = 4 %.
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Now if CP of 144 hens = Rs. 7200,
then SP of 144 hens at 4% loss = [(100-Loss%)/(100)]xCP
= [(100-4)/(100)]x7200 = Rs.6912.
Therefore SP of one hen = SP of 144 hens /No. of hens = 6912/144 = Rs.48
Loss = SP of 6 hens = 6k. ==> CP = SP + Loss = 144k + 6K = 150k.
Hence loss % = (Loss/CP) x 100 = (6k/150k) X 100 = 4 %.
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Now if CP of 144 hens = Rs. 7200,
then SP of 144 hens at 4% loss = [(100-Loss%)/(100)]xCP
= [(100-4)/(100)]x7200 = Rs.6912.
Therefore SP of one hen = SP of 144 hens /No. of hens = 6912/144 = Rs.48
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