# Roshan Bought 150 hens for Rs.1200 and sold 20% of these at gain of 5% at what gain percent must he sell the remaining hence so as to gain 20% in whole transaction?

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by Raghav1203

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by Raghav1203

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by condition, he sold 20% of his hen i.e. 30 costing 240 at the gain of 5%

means 240+12 = rs 252

Now remaining hen = 120

target gain is 20% on 1200 means 1440

now he has to sell 120 hen in order to earn 1440 in total

252 he has already earned so now he'll have to sell 120 hen for 1188

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CP of 150 hens = 1200

CP of 1 hen = 1200/150 =8

CP of 30 hens = 30×8 = 240

5% of 240 =12

20% hens is sold in 5% gain

means 30 hens sold in (240+12) =252

now. he should the 150 hens in 1440

so,