The minimum value of 16 tan² θ + 25cot² θ is

The price of tea increase by 32 % and so a housewife’s expenditure on tea also increases by 10%. If she bought 10 kg earlier, what is the quantity bought now?

The curved surface area of a cylindrical pillar is 264 square meter and its volume is 924 cubic meters. Find the ratio of its diameter to its height.

Study the following graph to answer these questions :
Percent profit earned by two companies A & B over the years.
Profit = Income – Expenditure

If the income of Company A in 1998 was Rs. 1,42,500 what was its expenditure in that year?

A money - lender, lends a part of his money at 10 % per annum and the rest at 15 % per annum. His annual income is 1,900. However, if he had interchanged rate of interest on the two sums, he would have earn 200 more. The amount lent will fatch what amount at 15 % ? 

A discount of   $$ 2{1\over 2}\% $$ is given to the customer on the marked price of an article. A man bought the article for Rs.39. The marked price of the article is:

Cost of 24 bats and 32 sticks is Rs 5600. What is the price of 3 bats and 4 sticks?