HSC Commerce Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Find the amount of an ordinary annuity of ₹ 3,200 per annum for 12 years at the rate of interest of 10% per year. [(1.1)¹² = 3.1384]

If the payment of ₹ 2,000 is made at the end of every quarter for 10 years at the rate of 8% per year, then find the amount of annuity. [(1.02)⁴⁰ = 2.2080]

Find the amount of an ordinary annuity of 12 monthly payments of ₹ 1,500 that earns interest at 12% per annum compounded monthly. [(1.01)¹² = 1.1262]

A bank pays 8% per annum interest compounded quarterly. Find the equal deposits to be made at the end of each quarter for 10 years to have ₹ 30,200? [(1.02)⁴⁰ = 2.2080]

A person deposits ₹ 2,000 at the end of every month from his salary towards his contributory pension scheme. The same amount is credited by his employer also. If 8% rate of compound interest is paid, then find the maturity amount at end of 20 years of service. [(1.0067)²⁴⁰ = 4.9661]

Find the present value of ₹ 2,000 per annum for 14 years at the rate of interest of 10% per annum. If the payments are made at the end of each payment period. [(1.1)^–14 = 0.2632]

Find the present value of an annuity of ₹ 900 payable at the end of 6^th month for 6 years. The money compounded at 8% per annum. [(1.04)^–12 = 0.6252]

Find the amount at the end of 12 years of an annuity of ₹ 5,000 payable at the beginning of each year, if the money is compounded at 10% per annum. [(1.1)¹² = 3.1384]

What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? [(1.08)¹⁶ = 3.172]

What is the amount of perpetual annuity of ₹ 50 at 5% compound interest per year?

₹ 5000 is paid as perpetual annuity every year and the rate of C.I. 10%. Then present value P of immediate annuity is __________.

If ‘a’ is the annual payment, ‘n’ is the number of periods and ‘i’ is compound interest for ₹ 1 then future amount of the ordinary annuity is

An annuity in which payments are made at the beginning of each payment period is called ___________.

The present value of the perpetual annuity of ₹ 2000 paid monthly at 10% compound interest is ___________.

Example of contingent annuity is ___________.

Find the amount of annuity of ₹ 2000 payable at the end of each year for 4 years of money is worth 10% compounded annually. [(1.1)⁴ = 1.4641]

An equipment is purchased on an installment basis such that ₹ 5000 on the signing of the contract and four-yearly installments of ₹ 3000 each payable at the end of first, second, third and the fourth year. If the interest is charged at 5% p.a find the cash down price. [(1.05)^–4 = 0.8227]

Find the amount of an ordinary annuity of ₹ 500 payable at the end of each year for 7 years at 7% per year compounded annually. [(1.07)⁷ = 1.6058]

Calculate the amount of an ordinary annuity of ₹ 10,000 payable at the end of each half-year for 5 years at 10% per year compounded half-yearly. [(1.05)¹⁰ = 1.6289]

Find the amount of an ordinary annuity of ₹ 600 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly. [(1.01)⁴⁰ = 1.4889]