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Explanation:

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

Initially cost price of Minu = Rs. 1000

Minu sells it to Kanu at 20% profit i.e., at Rs. 1000 + 200 = Rs. 1200
Profit earned by Minu = Rs. 200

Now, Kanu sells it back to Minu at 20% loss on 1200 i.e., at 1200 + 240 = Rs. 960

Now, let Minu sells it to Tanu at a profit of x.
∴ 200 + x = 500
⇒ x = 300

∴ Minu earns 300 profit by selling the sunglasses to Tanu, hence her profit % = 300/960 × 100% = 31.25%

Hence, option (b).