Question
A seller purchased certain number of watches at prices
ranging from Rs. 1350 to Rs. 1650 and sold them at price ranging from Rs. 1500 to Rs. 1800. Find the maximum profit that can be earned by selling 12 such watches.Solution
Maximum profit will be earned when the cost price is least and selling price is maximum. Therefore, least cost price of 12 watches = 12 × 1350 = Rs. 16200 Maximum selling price of 12 watches = 12 × 1800 = Rs. 21600 Therefore, maximum profit that can be earned = 21600– 16200 = Rs. 5400

If 3 tan X + cot X = 2√3, then find the value of 6 tan2 X + 2 cot2 X.

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