Ajesh has set up a sinking fund in order to have ₹ 10,00,000 after 10 years for his son's education. The amount should be set aside at the end of every 6 months into an account paying 5% per annum compounded half yearly is: [given $(1.025)^{20} = 1.6386$]

At what rate of interest will the present value of a perpetuity of ₹1000 payable at the end of every 6 months be ₹ 20,000?

A car whose cost is ₹9,00,000 will depreciate to a scrap value of ₹1,20,000 in 12 years. Which of the following statements are correct ?

(A) The annual depreciation is ₹65,000

(B) The book value of the car at the end of the fourth year is ₹6,40,000

(C) The book value of the car at the end of the sixth year is ₹5,00,000

(D) The book value of the car at the end of the fifth year is ₹5,75,000

Choose the correct answer from the options given below:

The amount of money needed to ensure for a prize of ₹ 5000 at the begining of each year indefinitely if money is worth 5% compounded annually is:

If $C$ is the original value of the asset, $S$ is the scrap value, n is the useful life of the asset and $D$ is the annual depreciation, then

If an asset costs Rs. 50,000 with an estimated useful life of 6 years and a scrap value of Rs. 5000. Then by using a linear depreciation method, the annual depreciation of the asset will be:

The effective rate, which is equivalent to a nominal rate of 12% compounded semi-annually, is