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 be $$100x$$
Loss % = 20%
=> S.P. = $$100x - \frac{20}{100} * 100x = 80x$$
Acc to ques :
=> $$80x + 100 = 100x + \frac{5}{100} * 100x$$
=> $$80x + 100 = 105x$$
=> $$x = \frac{100}{25} = 4$$
$$\therefore$$ Cost price = 100*4 = Rs. 400
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