Problem: A man sells two commodities for TK. 4000 each, neither losing nor gaining in the deal. if he sold one commodity at a gain of 25%, the other commodity is sold at a loss of:

View all: MEGHNA BANK (MTO) | WRITTEN QUESTION (MATH) SOLVE | 2014

Correct Answer: Ans.16$\frac{2}{3}$%

Explanation:

At 25% profitIf cost price is Tk 100, then selling price would be 125 Tk.

If selling price is 125 tk. then cost price would be = 100 Tk

If selling price is 4000 tk. then cost price would be = $\frac{100×4000}{125}$ = 3,200 Tk.

Total cost price of two commodities = 4,000 + 4,000 = 8,000 Tk.

Then the cost price of another commodity = 8,000 -3,200 = 4,800 Tk.

But the sold another commodities = 4,000 Tk

So he loses = 4,800 — 4,000 = 800 Tk.

Loss % = $\frac{800}{4800}\times 100$ = $\frac{2}{3}$%

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