Question

A shopkeeper makes a profit of q% by selling an object for RS 24 .had the c.p and s.p interchanged ,it would have led to a loss of 62.5q% .with the latter c.p ,what should be the new selling price to get a profit of q%?

Answer 1

Given: q/100 = (24 - x)/x
(5/8 )*q/100 = (24 - x)/24
Divide both the equations to get
8/5 = 24/x
=> x = 15
=> q = 0.6

Now we have c.p. = 24 and profit = 0.6
Therefore s.p. = 1.6*24 = 38.4

Comments

how are you able to write second equation? there should be 62.5 only if you are multiplying 100 on LHS