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Question

Toshiba bought 100 hens for Rs. 8000 and sold 20 of these at a gain of 5%. At what gain percent she must sell the remaining hens so as to gain 20% on the whole?


Solution

Total number of hens bought = 100
C.P of 100 hens = Rs. 8000
C.P of each hen =Rs.8000100=Rs.80
and C.P of 20 hens =Rs.80×20
=Rs. 1600
Gain =5%
S.P of 20 hens =Rs.1600×(100+5)100
=Rs.1600×105100
=Rs. 1680
Gain on the whole =20%
Total S.P of 100 hens =Rs.8000×(100+20)100
=Rs.8000×120100=Rs.9600
Now C.P of remaining hens = 100 - 20 = 80
=80×Rs.80=Rs.6400
and S.P of remaining hens = Rs. 9600 - 1680
=Rs. 7920
Total gain = Rs. 7920 - 6400
=Rs. 1520
Gain%=1520×1006400=23.75%

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