Class 12 CBSE Applied Maths Perpetuity, Sinking Funds, Bonds & EMI Exercise 12.1

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Q1. Find the present value of a perpetuity of Rs 900 payable at the end of each year, if money is worth 5% per annum.

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Q2. Find the present value of a perpetuity of Rs 500 payable at the end of each quarter, if money is worth 8% per annum.

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Q3. Find the present value of a perpetuity of Rs 300 payable at the beginning of every 6 months, if money is worth 6% per annum.

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Q4. What amount is received at the end of every 6 months forever, if Rs 72000 kept in a bank earns 8% per annum compounded half yearly?

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Q5. At what rate of interest will the present value of a perpetuity of Rs 300 payable at the end of each quarter be Rs 24000?

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Q6. Aman wants to deposit a lump sum amount so that an annual scholarship of Rs 3000 is paid. Rate of interest is 5% per annum. Calculate the lump sum amount required, if the scholarship is to start at the end of this year and continue forever.

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Q7. What sum of money invested now could establish a scholarship of Rs 5000 which is to be awarded at the end of every year forever, if money is worth 8% per annum.

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