Question

A merchant bought an article and sold it at a lossof 10% .If he had bought at 12% less and sold it for 300 more he would have gained 25%.Find cp

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

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