Question

A man sold two articles for ₹4000 each with no profit no loss in the whole transaction. If he sold one article at a gain of 25%, then the other article has been sold at a loss of:

• A. \( 20\frac{2}{3}% \)
• B. \( 25\frac{1}{3}% \)
• C. \( 18\frac{1}{2}% \)
• D. \( 16\frac{2}{3}% \)

Hint:

When total transaction has no profit or loss, profit from one item equals loss on the other. Use this to set up equations and compute exact loss or gain percentage.

Answer 1

The Correct Option is D

Selling price of both articles = ₹4000 each ⇒ total SP = ₹8000 First article sold at 25% gain: Let CP = \( x \), then \[ x + 25% \text{ of } x = ₹4000 \Rightarrow x \times 1.25 = 4000 \Rightarrow x = ₹3200 \] So, profit = ₹800, thus second article must be sold at a loss of ₹800 to result in no overall gain or loss. Selling price of second article = ₹4000 Cost price = ₹4000 + ₹800 = ₹4800 Loss% = \( \frac{800}{4800} \times 100 = 16\frac{2}{3}% \)