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 purchases a pair of sunglasses for Rs. 1000. She sells them to Kanu at a 20% profit.

Step 1: Minu's Sale to Kanu 

Minu paid Rs. 1000 for the sunglasses and sold them to Kanu for Rs. 1200. This means Minu made a profit of Rs. 200 on this transaction.

Step 2: Kanu's Sale to Minu

At a 20% loss, Kanu sells the sunglasses back to Minu. This means Kanu sold the glasses to Minu for:

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

So, Minu buys back the sunglasses for Rs. 960 from Kanu.

Step 3: Minu's Sale to Tanu

Minu needs to make a profit of Rs. 500 in total. Since she has already made Rs. 200 from the first transaction, she needs an additional Rs. 300 profit.

Therefore, Minu sells the sunglasses to Tanu for:

\(960 + 300 = 1260\)

Step 4: Profit Percentage

The profit made on the final sale is Rs. 300. To calculate the profit percentage, we use the formula:

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

Conclusion

The profit percentage on the final sale is 31.25%.

Therefore, the correct option is (D): 31.25%.