Advertisements
Advertisements
प्रश्न
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]
उत्तर
Here a = 5000, i = 10% = `10/100` = 0.1, n = 12
Amount A = `(1 + "i") "a"/"i" [(1 + "i")^"n" - 1]`
= `(1 + 0.1) 5000/(10/100) [(1 + 0.1)^12 - 1]`
= (1.1) 50000 [(1.1)12 – 1]
= 55000 [3.1384 – 1]
= 55000 [2.1384]
= ₹ 1,17,612
APPEARS IN
संबंधित प्रश्न
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]
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]
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 __________.
The present value of the perpetual annuity of ₹ 2000 paid monthly at 10% compound interest is ___________.
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]
A cash prize of ₹ 1,500 is given to the student standing first in examination of Business Mathematics by a person every year. Find out the sum that the person has to deposit to meet this expense. Rate of interest is 12% p.a.