Some toffees are bought at the rate of 11 for Rs.10, and another batch of the same number of toffees, at the rate of 5 for Rs. 6. If the whole lot is sold at Rs.2/toffee then the gain/loss percentage, correct to one decimal place, on the whole transaction is:

An article is sold at a certain price. If it is sold at \(33\frac{1}{3}\%\) of this price, there is a loss of \(33{1\over3}\%\). What is the percentage profit or percentage loss when it is sold at 40% of the original selling price?

If \(11 \sin^{2} \theta - \cos^{2} \theta + 4 \sin \theta - 4 = 0, 0^\circ < \theta < 90^\circ\), then what is the value of \(\frac{\cos 2\theta + \cot 2 \theta}{\sec 2 \theta - \tan 2 \theta}\) ?

If \(sin α + csc α = tan{\pi\over 3}\), then the value of (sin³α + csc³α) is equal to: