Question

a man bought an article and sold it at a gain of 5 %. if he had bought it at 5% less and sold it for re 1 less he would have made a profit of 10%. the c.p. of the article was

Answer 1

Let original CP of the article was X.

First Case:
SP = X + 5% of X = 105X/100
Second Case:
He bought article at 5% less.

CP = X - 5% of x = 95X/100
SP = (105X/100) - 1
Gain 10%.

SP - CP = Gain
(105X/100) - 1 - 95X/100 =  10% of 95X/100

10X/100 -1 =  95X/1000

0.1X - 1 =  0.095X
0.005 X = 1
X = 200

So, Original CP was Rs. 200.