CAT (QA) PYQs

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

Mayank buys some candies for Rs $15$ a dozen and an equal number of different candies for Rs $12$ a dozen. He sells all for Rs $16.50$ a dozen and makes a profit of Rs $150$. How many dozens of candies did he buy altogether?

Amal buys $110 \mathrm{~kg}$ of syrup and $120 \mathrm{~kg}$ of juice, syrup being 20% less costly than juice, per kg. He sells $10 \mathrm{~kg}$ of syrup at 10% profit and $20 \mathrm{~kg}$ of juice at $20 \%$ profit. Mixing the remaining juice and syrup, Amal sells the mixture at Rs. $308.32$ per kg and makes an overall profit of $64 \%$. Then, Amal's cost price for syrup, in rupees per kg, is