a man bought an article and sold it at a gain of 10%. if he had bought it at 20% less and sold it for 10rs more, he would have made a profit of 40%. find the cp
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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.
Hope this helps you !!
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.
Hope this helps you !!
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