a man sold an article at 10% loss , if he had taken 45Rs more , the gain would have been 8%. what is its cost price

a.150
b.180
c.200
d.250
e.none

3 answers

let the cost price be x
then the selling price is .9x
if he had taken 45 more ----> .9x + 45
this would have been 1.08 of cost price

1.08 = .9x + 45
....
x = 250

check: at 10% loss, SP = 225
but had he taken 45 more, SP = 270
and what is 108% of 250 ??
270
Q: John sold a chair at a loss of 20% if he had sold it for $50 more, he would have gained 5%. Find the cost price of chair.