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.

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Answer 1

hi buddy

So, she bought one hen for 8000/100 = 80 each. 

gain of 5% on 80 = (1.05)(80) = 84 each 
or (20)(84) = 1680 total 

You want a total of 20% gain on 8000 = 
(1.2)(8000) = 9600 total 

You need to make 9600 - 1680 = 7920 total on the last 80 hens. 

You originally paid (80)(80) = 6400 for those hens. 

7920 / 6400 = 1.2375 
so you need 23.75% gain on the remaining hens