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: RAJSHAHI KRISHI UNNAYAN BANK (SO) | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer:16 $\frac{2}{3}$%
Explanation:
At 25% profit
If 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 commodity at 4,000 Tk.
So he loses = 4,800 — 4,000 = 800 Tk.
Loss%=$\frac{800}{4800}$x 100 = 16 $\frac{2}{3}$%
