24. Toshiba bought 100 hens for Rs 8000. and sold 20 of these at a gain of 5%. At what profit percent she must sell the remaining hens so as to gain 20% on the whole?
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Answer:
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Step-by-step explanation:
Given, Toshiba bought 100 hens for Rs. 8000
and sold 20 at gain = 5 %
to gain 20 % in whole.
Cost price (CP) of 100 hens = Rs 8000
Cost price of 1 hen =
100 8000 =Rs.80
So, cost price of 20 hens =20×80
=Rs.160
Gain % = CP
SP−CP 100 5= 1600
SP−1600 ×100 SP= 100
5×1600 +1600=Rs.1680
∴ Gain on 20 hens = (1680 - 1600) = Rs .80
Now, cost price of 80 hens =80×80
=Rs.6400
Gain on 80 hens = ( SP - CP) of 80 hens
Gain on 100 hens = gain on 80 hens + gain on 20 hens
∴ Gain on 100 hens = (SP - CP) of 80 hens + 80
Gain % on 100 hens =
CP of hens
Gain on 100 hens ×100
∴20= 8000
(SP of 80 hens - 6400 + 80 ) ×100
∴ SP of 80 hens = 100
8000×20 +6400−80 =1600+6400−80=Rs.7920
∴ Gain of 80 hens =7920−6400=Rs.1520
∴ C.P. of 80 hens
Gain on 80 hens ×100=gain %= 6400
1520 ×100=23.75%
So, the remaining hens should be sold at 23.75 % gain percent.
Answer:
So, the remaining hens should be sold at 23.75 % gain percent. Was this answer helpful?
Step-by-step explanation:
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