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A tradesman sold an article at a loss of 20%. If the selling price had been increased by 100, there would have been a gain of 5%. The cost price of the article (in Z.) was
Let the cost price = $$100x$$
Loss amount = $$\frac{20}{100} * 100x = 20x$$
=> S.P. = $$100x-20x = 80x
Gain amount = $$\frac{5}{100} * 100x = 5x$$
=> $$100x+5x = 105x$$
Now, according to question
=> $$80x + 100 = 105x$$
=> $$x$$ = 4
=> Cost price = 4*100 = 400
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