Question

Ram bought 100 hens for Rs. 8000 and sold 20 of these at a gain of 5 per cent. at what gain per cent must he sell the remaining hens so as to gain 20 per cent on the whole

Answer 1

it will be easier if we solve it by parts

20Hens is sold at P=+5%

total 100Hens,,
so 20Hens is 20/100= 1/5 of total

so that means 1/5 is sold at 5%Profit

now remai 4/5to be sold at x% to have 20%P on total

1/5(5%)+4/5(x%)= 20%
5+4x= 100
4x= 95
x= 95/4% = 23.75%

Answer 2

Answer:

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Step-by-step explanation:

Cost of 20 hens = 80×20 = 1600

Sold at 5% gain , selling price = 1•05× 1600

S P = 105×16 =1680

S P rest 80 hens = x× 6400

To take gain of 20% on the whole the S P will be

8000×1•2 = 9600

1680 + 6400x = 9600

6400x = 7920

x =7920/6400 = 792/640 = 1•2375

x% = (1•2375 - 1)×100 = 23•75%