X sells a product to Y and makes a profit of 25%. Y sells it to Z at a loss of 20%. If Z buys it for Tk. 140, what is X's purchase price?

X sells a product to Y and makes a profit of 25%. Y sells it to Z at a loss of 20%. If Z buys it for Tk. 140, what is X's purchase price? Correct Answer 140

Let, X's purchase price = a X's selling price = a + a × 25a% = 1.25a = Y's purchase price Y's selling price = 1.25.a - 1.25a × 20% = 1.25a - 1.25a ×20/100 = 1.25a - 0.25a = a = Z's purchasing price = 140
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