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QUESTION: 1

The present value of annuity of Rs. 5000 per annum for 12 years at 4% p.a. C.I. annually is

Solution:

QUESTION: 2

Mr. Paul borrows Rs. 20000 on condition to repay with C.I at 5% p.a. in annual installments of Rs. 2000 each. The number of years for the debt to be paid off is

Solution:

QUESTION: 3

Q.14 A man purchased a house valued at Rs. 300000. He paid Rs. 200000 at the time of purchase and agreed to pay the balance with interest at 12% per annum compounded half yearly in 20 equal half yearly instalments. If the first instalment is paid after six months form the date of purchase then the amount of each instalment is[Given log 10.6 = 1.0253 and log 31.19 = 1.494]

Solution:

QUESTION: 4

A person invests Rs. 500 at the end of each year with a bank which pays interest at 10% p.a. C.I. annually. The amount standing to his credit one year after he has made his yearly investment for the 12th time is.

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QUESTION: 5

Given annuity of Rs. 100 amounts to Rs. 3137.12 at 4.5% p.a. C.I. The number of years will be

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QUESTION: 6

If the amount of an annuity after 25 years at 5% p.a. C.I is Rs. 50000 the annuity will be

Solution:

QUESTION: 7

A=Rs. 100 n=10, i = 5% find the FV of annuity

Using the formula FV=a/{(1+i)^{n}-1}, FV is equal to

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QUESTION: 8

The C.I on Rs. 4000 for 6 months at 12% p.a. payable quarterly is

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QUESTION: 9

The difference between the S.I and the C.I on Rs. 2400 for 2 years at 5% p.a. is

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QUESTION: 10

The annual birth and death rates per 1000 are 39.4 and 19.4 respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is

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QUESTION: 11

The effective rate of interest corresponding a nominal rate of 7% p.a. convertible quarterly is

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QUESTION: 12

A loan of Rs. 10.000 is to be paid back in 30 equal instalments. The amount of each installment to cover the principal and at 4% p.a. CI is

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QUESTION: 13

The present value of an annuity of Rs. 3000 for 15 years at 4.5% p.a. CI is

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QUESTION: 14

A company borrows Rs. 10000 on condition to repay it with compound interest at 5%p.a. by annual installments of Rs. 1000 each. The number of years by which the debt will be clear is

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QUESTION: 15

Mr. X borrowed R.s 5120 at 12 ½ % p.a C.I.At the end of 3 yrs, the money was repaid along with the interest accrued. The ammount of interest paid by him is

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QUESTION: 16

The C.I on Rs. 40000 at 10% p.a. for 1 year when the interest is payable quarterly is

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QUESTION: 17

The C.I on Rs. 16000 for 1½ years at 10% p.a payable half-yearly is

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QUESTION: 18

The amount of an annuity certain of Rs. 150 for 12 years at 3.5% p.a. C.I is

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QUESTION: 19

A machine is depreciated at the rate of 20% on reducing balance. The original cost of the machine was Rs. 100000 and its ultimate scrap value was Rs. 30000. The effective life of the machine is

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QUESTION: 20

P = Rs.12000, A = Rs.16500, T=2½ years. Rate percent per annum simple interest will be

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QUESTION: 21

If P=Rs. 1000, R=5%.a., n=4; What is Amount and C.I. is

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QUESTION: 22

P = Rs.10000, I = Rs.2500, R = 12 ½ SI. The number of years T will be

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QUESTION: 23

A sum of money doubles itself in 10 years. The number of years it would triple itself is

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QUESTION: 24

If A=Rs. 1000, n=2 years, R=6% p.a. compound interest payable half-yearly, then principal (P) is

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QUESTION: 25

The useful life of a machine is estimated to be 10 years and cost Rs. 10000. Rate of depreciation is 10% p.a. The scrap value at the end of its life is

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QUESTION: 26

The effective rate of interest corresponding to a nominal rate 3% p.a. payable half yearly is

Solution:

QUESTION: 27

Rs. 100 will become after 20 years at 5% p.a. compound interest amount

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QUESTION: 28

The difference between C.I and S.I on a certain sum of money invested for 3 years at 6% p.a. is Rs. 110.16. The sum is

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QUESTION: 29

The sum required to earn a monthly interest of Rs.1200 at 18% per annum SI is

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QUESTION: 30

If P = Rs.4500, A=Rs. 7200, than Simple interest i.e. I will be

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QUESTION: 31

P = Rs. 8500, A = Rs.10200, R = 12 ½ % SI, t will be.

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QUESTION: 32

A sum of money amount to Rs. 6200 in 2 years and Rs. 7400 in 3 years. The principal and rate of interest are

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QUESTION: 33

The population of a town increases every year by 2% of the population at the beginning of that year. The number of years by which the total increase of population be 40% is

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QUESTION: 34

The cost of machinery is Rs. 1,25,000/- If its useful life is estimated to be 20 years and the rate of depreciation of its cost is 10% p.a., then the scrap value of the machinery is

[Given that (0,9)^{20} = 0.1215]

Solution:

QUESTION: 35

If P = Rs.4500, A=Rs. 7200, than Simple interest i.e. I will be

Solution:

QUESTION: 36

If the simple interest on a sum of money at 12% p.a. for two years is Rs. 3,600. The compound interest on the same sum for two years at the same rate is:

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QUESTION: 37

The future value of an annuity of Rs. 5,000 is made annually for 8 years at interest rate of 9% compounded annually [Given that (1.09)^{8}= 1.99256] is ________

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QUESTION: 38

In how many years, a sum of Rs. 1000 compounded annually @ 10%, will amount to Rs. 1331?

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QUESTION: 39

If P=5000, T=1, I=Rs. 300, R will be

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QUESTION: 40

At what % rate of compound interest (C.I) will a sum of money become 16 times in four years, if interest is being calculated compounding annually:

Solution:

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