Question
Find the original cost price of an item that A sold with
a 40% profit. If the profit percentage had been numerically equal to cost price, the current profit would have been 300% more than what it is currently.Solution
We can say that Let the original CP of the article be Rs.'100a'  Therefore, SP of article = Rs.'140a'  Therefore, profit earned = 140a - 100a = Rs.'40a'  New profit earned = 4 × 40a = Rs. 160a  According to the question,  100a × (100a/100) = 160a  Or, a = 1.6  Therefore, actual cost price of the article = 100a  = 100 × 1.6  = Rs. 160
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