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?

Answer 1

Toshiba bought one hen for \(\frac{8000}{100}\) = 80 each.gain of 5% on 80 = (1.05×80) = 84 eachor (20×84) = 1680 total she want a total of 20% gain on 8000 =(1.2×8000) = 9600 totalshe need to make 9600 - 1680 = 7920 total on the last 80 hens.she originally paid (80×80) = 6400 for those hens. = \(\frac{7920}{6400}\) = 1.2375

so she need 23.75% gain on the remaining hens