A shopkeeper keeps Vikramulya increasing by 28.56% and he also gives a discount of 27.27% if he steals 16.66% while buying and 44.44% when selling. If it is given free, find its total profit percentage.
Answers
Given : A shopkeeper keeps Vikramulya increasing by 28.56% and he also gives a discount of 27.27% if he steals 16.66% while buying and 44.44% when selling
To find : total profit percentage.
Solution:
Let say Cost Price = C
28.56% = 200/7
Marked Price = C + (200/700)C = 9C/7
Discount 27.27% = 300/11 %
Selling Price = (9C/7) (1 - 300/1100) = 72C/77
=> cheats 44.44% = 400/9 %
=> 5 /9 gets him 72C/77
=> 1 gets him = (72C/77 )(9/5) = 648C/385
he steals 16.66%
in C he get ( 1 + 16.66/100) = 6/7
hence actual cost price = 6C/7
Cost Price = 6C/7
gets = 648C/385
Profit = 648C/385 - 6C/7 = 318C/385
Profit % = 100 * (318C/385)/(6C/7) = 96.36 %
total profit percentage. = 96.36 %
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