on selling each of the radios for 5000 a person neither gain or lost if we had sold one radio at 25% gain then at what loss percent did he sell the another radio
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1
st
radio S.P. = Rs. 5000
Gain =25%
∴ C.P = Rs.
125
5000×100
= Rs. 4000
2
nd
radio S.P. = Rs. 5000, Loss =x% (say)
∴ C.P. =
(100−x)
5000×100
Since the person neither gained nor lost Total C.P. = Total S.P
⇒4000+
(100−x)
500000
=10000
⇒
(100−x)
500000
=6000⇒500000=600000−6000x
⇒6000x=100000
⇒x=
60
100
%=
3
50
%=16 2/3
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