Anu invested Rs. 15000 at the rate of interest 10% p.a. for one year. If the compound interest is compounded at every six months, what amount will Anu get at the end of the year?

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

An article is sold for Rs 4,777 after giving a discount of 15%. What is the marked price of the article?

If $${{k^2}\over {k^2-2k+1}}={1\over 6}$$, then what is the value of $${1\over k^3}+k3$$ ?

If the simple interest for 6 years be equal to 30% of the principal, it will be equal to the principal after 

A sum invested at a certain rate of interest per annum, compounded annually, amounts to ₹3,600 in 2 years and to ₹6,480 in 4 years. What is the sum invested?

The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save ₹ 1300 and ₹ 900 respectively. Their incomes are:

  The value of $${{1}\over 1+\sqrt { 2} + \sqrt { 3}}+{{1}\over 1-\sqrt { 2} + \sqrt { 3}} $$ is