हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य कक्षा ११

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] - Business Mathematics and Statistics

Advertisements
Advertisements

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]

योग

उत्तर

Here a = 3,200, n = 12, and i = `10/100` = 0.1
A = `"a"/"i"` [(1 + i)n – 1]
= `3200/0.1` [(1 + 0.1)12 – 1]
= 32000 [(1.1)12 – 1]
= 32000 [3.1384 – 1] ...........[∵ (1.1)12 = 3.1384]
= 32000 [2.1384]
= ₹ 68,428.8

shaalaa.com
Annuities
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Financial Mathematics - Exercise 7.1 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 7 Financial Mathematics
Exercise 7.1 | Q 1 | पृष्ठ १६६

संबंधित प्रश्न

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 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]


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


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]


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]


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 annuity of ₹ 2000 payable at the end of every month for 5 years if money is worth 6% per annum compounded monthly. [(1.005)60 = 1.3489]


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×