A retailer buy 3850 Linc pen and 1848 cello pens at the same price.he sells Linc pen in such a way that by selling 481 Linc pen he can buy 650 Linc pens and by selling 629 cello pens he can buy 408 cello .The what is his overall profit?
Answers
Step-by-step explanation:
cost price of one linc pen = x
cost price of one cello pen = y
selling price of one linc pen = a
selling price of one cello pen = b
given selling price of 481 linc pens is equal to cost price of 650 linc pens
481a = 650x
a/x = 650 /481 = 50/37
Profit percentage on 1 linc pen = (selling price -cost price)/cost price
= (50-37)/37 = 13/37
given selling price of 629 cello pens is equal to cost price of 408 cello pens
629b = 408y
b/y = 408/629 = 24/37
Profit percentage on 1 cello pen = (selling price -cost price)/cost price
= (24-37)/37
= -13/37
A retailer buy 3850 linc pens and 1848 linc pens at the same price
3850x = 1848y
Overall profit percentage = ((3850x ×13/37) + (1848y×(-13/37))) / (3850x + 1848y)
since 3850x = 1848y
over all profit percentage = ((3850x ×13/37) + (3850x×(-13/37))) / (3850x + 3850x)
= 0
There is no profit no loss