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

After spending Rs. 1000 on a pair of sunglasses, Minu sells them to Kanu for a 20% profit. 
This indicates that Minu paid Rs. 1000 for the glasses and Rs. 1200 for Kanu's purchase. 
Minu has already made 200 rupees in profit. 
At a 20% loss, Kanu then sells it back to Minu. 
Accordingly, Kanu sold Minu the glasses back for 80% of 1200, or Rs. 960. 
Tanu is finally sold the identical set of sunglasses by Minu. 
 Minu has earned a total of Rs. 500 from all of her trades. 
Thus, Minu needs to generate an additional Rs. 300 in profit. In order to do this, she sells Tanu the spectacles back for 960 + 300 = Rs. 1260. 
Therefore, the transaction's profit percentage is \(\frac{300}{960} \times 100 = 31.25\%\).
The correct option is (D): \(31.25\%\)