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11th Business Maths Monthly Test - 1 ( Financial Mathematics )

MABS Institution

11th Business Maths Monthly Test - 1 ( Financial Mathematics )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

A person brought a 9% stock of face value Rs 100, for 100 shares at a discount of 10%, then the stock purchased is

Rs 9000
Rs 6000
Rs 5000
Rs 4000

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

Annuity due
An immediate annuity
perpetual annuity
none of these

The dividend received on 200 shares of face value Rs.100 at 8% dividend value is

1600
1000
1500
800

A man received a total dividend of Rs 25,000 at 10% dividend rate on a stock of face value Rs.100, then the number of shares purchased.

3500
4500
2500
300

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

Rs 2,40,000
Rs 6,00,000
20,40,000
Rs 2,00,400

Market price of one share of face value 100 available at a discount of \(9\frac{1}{2}\%\) with brokerage \(\frac{1}{2}\%\) is

Rs 89
Rs 90
Rs 91
Rs 95

The brokerage paid by a person on this sale of 400 shares of face value Rs.100 at 1% brokerage

Rs 600
Rs 500
Rs 200
Rs 400

A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of

Rs 80
Rs 115.20
Rs 120
Rs 125.40

Example of contingent annuity is

Life insurance premium
An endowment fund to give scholarships to a student
Personal loan from a bank
All the above

The Income on 7 % stock at 80 is

9%
8.75%
8%
7%

Part - B

Generic 2 - Answer All Question

Find the market value of 62 shares available at Rs 132 having the par value of Rs 100.

If the dividend received from 9% of Rs 20 shares is Rs 1,620, find the number of shares.

A person brought at 12% stock for Rs 54,000 at a discount of 17%. If he paid 1% brokerage, find the percentage of his income.

Find the present value of Rs 2,000 per annum for 14 years at the rate of interest of 10% per annum. [ (1.1)^–14 = 0.2632]

The chairman of a society wishes to award a gold medal to a student getting highest marks in Business Mathematics. If this medal costs Rs 9,000 every year and the rate of compound interest is 15% what amount is to be deposited now.

If the dividend received from 10% of Rs 25 shares is Rs 2000. Find the number of shares.

How much will be required to buy 125 of Rs 25 shares at a discount of Rs 7
Find the amount of annuity of Rs 2000 payable at the end of each year for 4 years of money is worth 10% compounded annually [log(1.1) = 0.0414 ; antilog[(0.1656) = 1.464]

Find the number of shares which will give an annual income of Rs 3,600 from 12% stock of face value Rs 100.

Part - C

Generic 3 - Answer All Question

If I deposit Rs.500 every year for a period of 10 years in a bank which gives C.I. 5% per year, find out the amount I will receive at the end of 10 years.

An equipment is purchased on an installment basis such that Rs 5000 on the signing of the contract and four yearly installments of Rs.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. [log(1.05) = 0.0212 ; antilog(¯1.9152=0.8226) ]

A person has taken a loan of Rs` 7,00,000 at 16% rate of interest from a finance company. If the repayment period is of 15 years then find the installment he has to pay at the beginning of each month. [(1.0133)¹⁸⁰ = 9.772]

Find the yield on 20% stock at 80.

Find the present value of an annuity due of Rs.200 p.a. payable annually for 2 years at 4%p.a

A person purchases a machine on 1st January 2009 and agrees to pay 10 installments each of Rs 12,000 at the end of every year inclusive of compound rate of 15%. Find the present value of the machine. [(1.15)¹⁰ = 4.016].

A sum of Rs.1000 is deposited at the beginning of each quarter in a S.B. account that pays C.I 8% compounded quarterly. Find the account at the end of 3 years.

Find the amount of an ordinary annuity of Rs 500 payable at the end of each year for 7 years at 7% per year compounded annually.

Part - D

Generic 5 - Answer All Question

Equal amounts are invested in 12% stock at 95 (brokerage). If 12% stock brought at Rs.120 more by way of dividend income than the other, find the amount invested in each stock?

What equal payments made at the beginning of each month for 3 years will accumulate to Rs.4,00,000 if money is worth 15% compounded monthly

A person sells a 20% stock of face value Rs 10,000 at a premium of 42%. With the money obtained he buys a 15% stock at a discount of 22%. What is the change in his income if the brokerage paid is 2%.

Machine a costs Rs.25,000 and machine B costs Rs.40,000. The annual income fro machine A and B are 8000 and 10,000 respectively. Machine A has life of 5 years and machine B has life of 7 years. Which machine may be purchased, discount rate being 10% p.a?

Rani sold Rs.8000 worth 7% stock at 96 and invested the amount realised in the shares of FV Rs.100 os a 10% stock by which her income increased by Rs.80. Find the purchase price of 10% stock.

A man invests Rs 13,500 partly in 6% of Rs 100 shares at Rs 140 and partly in 5% of Rs 100 shares at Rs 125. If his total income is Rs 560, how much has he invested in each?

A company has a total capital of Rs.5,00,000 divide into 1000 preference shares of 6% dividend with par value RS.100 each and 4000 ordinary shares of per value Rs.100 each. The company delares an annual dividend of Rs.40,000. Find the dividend received by Sundar having 100 preference shares and 200 ordinary shares.

Kamal sold Rs.9000 worth 7% stock at 80 and invested the proceeds in 15% stock at 120. Find the change in his income?
a bank pays 8% interest compounded quarterly. Determine the equal deposits to be made at the end of each quarter for 3 years so as to receive Rs.300 at the end of 3 years.

Machine A costs Rs15,000 and machine B costs Rs 20,000. The annual income from A and B are Rs 4,000 and Rs 7,000 respectively. Machine A has a life of 4 years and B has a life of 7 years. Find which machine may be purchased. (Assume discount rate 8% p.a)[(1.08)^-4=0.7350'(1.08)^-7=0.5835

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