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A dishonest hairdresser uses a mixture having 5 parts after-shave lotion and
3 parts water. After
taking out some portion of the mixture, he adds equal amount of water to the
remaining portion
of mixture such that the amount of after shave lotion and water become
equal. Find the part of
mixture taken out.

Answer Posted / akbar

here we have 5 part shave lotion(S) and 3 part water(W) so
mixture will be 5 + 3 = 8 part. we are removing some part
say X from mixture (ie 8 part) and again adding X part
water in it. so final mixture remains same 8 part. now we
will be having equal part of S and W which is nothing but 4
part S and 4 Part W. so X must be 3 = 1S + 2W
5 + 3 = 8;
8 - 3(ie 1S + 2W) = 5;
5 + 3W = 8(4S + 4W);

:)

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