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Question
A man sells two watches for Rs 2100 and gains 5%. On the one watch he gains 7% while on the other he loses 3%. Find the CP of the watch on which he gains 7%
A man sells two watches for Rs 2100 and gains 5%. On the one watch he gains 7% while on the other he loses 3%. Find the CP of the watch on which he gains 7%
Can anyone explain, when solving the question via allegation method, why allegating profit/loss percent gives ratio of the cost price?
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Answer
Answer is Rs1600.
CP = 2100/1.05 = 2000 = x + y
also 1.07x+0.97y= 2100 solving we get y = 400 thus x = 2000-400 = 1600
Answer
Using alligations,
-3 7
\ /
5
/ \
2 8
Thus 2/10 *2000 = 400(x) & y = 8/10 *2000 = 1600(y). Because Profit%/Loss% is a subject to CP.
