Problem: X sells an item to Y at a profit of 28% and Y sells the same item to Z at a loss of 25% on his cost. If Y had sold the item to Z at Tk. 2 less than what it costs to X, what is the cost of the item to X in Taka?

View all: NCC BANK LTD | WRITEN QUESTION(MATH) | 2002

Correct Answer: 50 TK

Explanation:

Let, the cost of item to X is x Tk.

Cost price on = (x x $\frac{28}{100}$+x) = 1.28x Tk

Cost price of Z = (1.28x – 1.28x x $\frac{258}{100}$) Tk= (1.28x— 0.32) = .96x Tk

According to the question, x = 0.96x + 2

=>x — 0.96x = 2

=>0.04x = 2

x = 50 Tk

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