SOLUTION: Person A repairs an average of 15 wrist watches a day. person B repairs an average of 18 wrist watches a day, person A charges 5/4 as much as person B for one wrist watch . if pers

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Question 1044437: Person A repairs an average of 15 wrist watches a day. person B repairs an average of 18 wrist watches a day, person A charges 5/4 as much as person B for one wrist watch . if person B earns Rs.1088 per day what is the daily income of person A?

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
You want to know each person's rate for how many Rs per day and this will be a simple unit conversion for each "person". The "1-watch price" is how many Rs for 1 watch or so many RS%2FWATCH.

Here, r is for the one-watch repair price for person B.
                 WATCHES/DAY       1-WATCH PRICE    Rs/DAY

PERSON A         15                (5/4)r           15*(5/4)r

PERSON B         18                 r               18*r


Person B earns Rs.1088 per day.
Can the value for r be found?
-
%2815%2A%285%2F4%29r%29%2A1=1088, based on PRICE%2ADAYS=REVENUE.
Simply use multiplicative inverse of the left side, apply to both sides,
r=1088%284%2F5%29%281%2F15%29
highlight%28r=58.03%29

What is daily income of person A?
Recheck the data table, and that 18r is the daily income for person A. r is also now been found.
18r=18%2A58.03
1044.48
or better,
highlight%281044%2ARs%29