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If \({sin^2\theta\over tan^2\theta-sin^2\theta}=5\), then the value of \(\frac{24\cos^2\theta-15\sec^2\theta}{6\ \rm cosec^2 \theta-7\cot^2\theta}\) is:
After giving three successive discounts of 15%, 5% and p%, respectively, on the marked price of an article of Rs. 4,800, It is sold for Rs. 3,100.80. What is the value of p?
An item costs Rs. 400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The price of the item after using both the sale discount and the discount coupon, is Rs. 216. What is the value of x?
Joseph bought two woollen jackets for Rs. 2,100 and Rs. 3,150, respectively. By selling the first at a gain of k% and the second at a loss of k%, he found that the selling price of both is the same. What is the value of k?
The distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole when seen from the top of first pole is 30°. What will be the height of second tower if the first pole is 100m long?