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