Correct Answer: TK 400

Explanation:

Suppose, the price of Pen Tk. x

The price of pen-stand = Tk. (1,000 —x)

At 20% profit,

If the cost Tk. 100 then selling price = Tk. 120

If the cost Tk. x then selling price = Tk. $\frac{120x}{100}$

At 15% loss,

if the cost Tk. 100 then selling price = Tk. 85

If the cost Tk. (1,000 —x) then selling price = Tk. $\frac{(100-x)85}{100}$

At overall 6% profit,-

If cost Tk. 100 run selling price = 106

If cost Tk. 1,000 run selling price = $\frac{106\cdot1000}{100}$= Tk. 1,060

According to the question,

$\frac{120x}{100} + \frac{85(1000-x)}{100}$ = 1060

=> $\frac{120x+85000-85x}{100}$ = 1060

=> 35x+ 85000 = 106000

=> x= $\frac{106000-85000}{35}$ = 600

The cost of pen = Tk. 600 and pen-stand = 1000 — 600

= Tk. 400