CAT 2023 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like **Speed-time-distance**, **Mixture and Alligations**. This year, there was a surprise. The questions from **Geometry** were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 9 : 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

- 35.42%
- 31.25%
- 52%
- 26%

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*“Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit.”*

This means, Minu purchased the glasses at Rs.1000 and sold them to Kanu at Rs.1200.

Minu made a profit of Rs. 200 so far.

*“Then, Kanu sells it back to Minu at 20% loss.”*

This means, Kanu sold the glasses back to Minu at 80% of 1200 = Rs. 960

*“Finally, Minu sells the same pair of sunglasses to Tanu. … the total profit made by Minu from all her transactions is Rs.500”*

This means, Minu has to make a further profit of Rs. 300. She achieves this by selling the glasses back to Tanu at 960 + 300 = Rs.1260

So the profit % in the transaction is \( \frac { 300 } { 960 } \times 100 = 31.25 \% \)

The question is **" 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 " **

Choice B is the correct answer.

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