Question

Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs.500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is

• A. 26%
• B. 35.42%
• C. 52%
• D. 31.25%

Answer 1

The Correct Option is D

Minu acquired sunglasses for Rs. 1000 and sold them to Kanu at a 20% profit.

Step 1: Minu's Transaction with Kanu

Minu's purchase price was Rs. 1000. Her selling price to Kanu was Rs. 1200, resulting in a profit of Rs. 200.

Step 2: Kanu's Transaction with Minu

Kanu sold the sunglasses back to Minu at a 20% loss. This calculated sale price was:

\(80\% \times 1200 = 960\)

Minu repurchased the sunglasses from Kanu for Rs. 960.

Step 3: Minu's Final Sale to Tanu

Minu's total desired profit is Rs. 500. Having already earned Rs. 200, she requires an additional Rs. 300 profit.

Minu's selling price to Tanu was:

\(960 + 300 = 1260\)

Step 4: Profit Percentage Calculation

The profit from the final sale was Rs. 300. The profit percentage is calculated as:

\(\frac{300}{960} \times 100 = 31.25\%\)

Conclusion

The profit percentage on the final sale was 31.25%.

The correct option is (D): 31.25%.