11th Business Maths Monthly Test - 3 ( Financial Mathematics)

MABS Institution

11th Business Maths Monthly Test - 3 ( Financial Mathematics)-Aug 2020

Time : 2.00 Hours

Part - A

Generic 2 - Answer All Question

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

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]

A limited company wants to create a fund to help their employees in critical circumstances. The estimated expenses per month is Rs 18,000. Find the amount to be deposited by the company if the rate of compound interest is 15%.

Find the market value of 325 shares of amount Rs 100 at a premium of Rs 18.

A man buys 500 shares of amount Rs 100 at Rs 14 below par. How much money does he pay?

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

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

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.

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.

Which is better investment? 7% of Rs 100 shares at Rs 120 (or) 8% of Rs 100 shares at Rs 135.

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]

Gopal invested Rs 8,000 in 7% of Rs 100 shares at Rs 80. After a year he sold these shares at Rs 75 each and invested the proceeds (including his dividend) in 18% for Rs 25 shares at Rs 41. Find
(i) his dividend for the first year
(ii) his annual income in the second year
(iii) The percentage increase in his return on his original investment

Which is better investment? 20% stock at 140 (or) 10% stock at 70.

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

Part - B

Generic 3 - Answer All Question

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]

What amount should be deposited annually so that after 16 years a person receives Rs 1,67,160 if the interest rate is 15% [(1.15)¹⁶ = 9.358]

Mohan invested Rs 29,040 in 15% of Rs 100 shares of a company quoted at a premium of 20%.
Calculate
(i) the number of shares bought by Mohan
(ii) his annual income from shares
(iii) the percentage return on his investment

A person buy 20 shares (par value of Rs 10) of a company which pays 9% dividend at such a price that he gets 12% on his money. Find the market value of a share.

Find the amount of an ordinary annuity of Rs 600 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly.[(1.01)⁴⁰=1.4889

Find the number of shares which will give an annual income of Rs.360 from 6% stock of face value Rs.100

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

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

A person borrows Rs.5000 at 5% p.a.interest compounded half yearly and agrees to pay both the principal and interest at 10 equal instalments at the end of each six months.Find the amount of these instalments.

What is the present value of an annuity due of Rs 1,500 for 16 years at 8% per annum? [(1.08)^-16 = 0.2919]

A man bought 6% stock of Rs.12,000 at 92 and sold it when the rise to 96.Find his gain.

Find the amount of an annuity of Rs. 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

Babu sold some Rs 100 shares at 10% discount and invested his sales proceeds in 15% of Rs 50 shares at Rs 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned Rs 450 more. Find the number of shares sold by him.

A man wishes to pay back his depts of Rs.3783 due after 3 years by 3 equal yearly instalments. Find the amount of each instalments,money being worth 5% p.a. compounded annually

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11th Business Maths Monthly Test - 3 ( Financial Mathematics)

MABS Institution

11th Business Maths Monthly Test - 3 ( Financial Mathematics)-Aug 2020

Part - A

Generic 2 - Answer All Question

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

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]

A limited company wants to create a fund to help their employees in critical circumstances. The estimated expenses per month is Rs 18,000. Find the amount to be deposited by the company if the rate of compound interest is 15%.

Find the market value of 325 shares of amount Rs 100 at a premium of Rs 18.

A man buys 500 shares of amount Rs 100 at Rs 14 below par. How much money does he pay?

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

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

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.

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.

Which is better investment? 7% of Rs 100 shares at Rs 120 (or) 8% of Rs 100 shares at Rs 135.

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]

Which is better investment? 20% stock at 140 (or) 10% stock at 70.

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

Part - B

Generic 3 - Answer All Question

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]

What amount should be deposited annually so that after 16 years a person receives Rs 1,67,160 if the interest rate is 15% [(1.15)16 = 9.358]

Mohan invested Rs 29,040 in 15% of Rs 100 shares of a company quoted at a premium of 20%. Calculate (i) the number of shares bought by Mohan (ii) his annual income from shares (iii) the percentage return on his investment

A person buy 20 shares (par value of Rs 10) of a company which pays 9% dividend at such a price that he gets 12% on his money. Find the market value of a share.

Find the amount of an ordinary annuity of Rs 600 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly.[(1.01)40=1.4889

Find the number of shares which will give an annual income of Rs.360 from 6% stock of face value Rs.100

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

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

A person borrows Rs.5000 at 5% p.a.interest compounded half yearly and agrees to pay both the principal and interest at 10 equal instalments at the end of each six months.Find the amount of these instalments.

What is the present value of an annuity due of Rs 1,500 for 16 years at 8% per annum? [(1.08)-16 = 0.2919]

A man bought 6% stock of Rs.12,000 at 92 and sold it when the rise to 96.Find his gain.

Find the amount of an annuity of Rs. 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

Babu sold some Rs 100 shares at 10% discount and invested his sales proceeds in 15% of Rs 50 shares at Rs 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned Rs 450 more. Find the number of shares sold by him.

A man wishes to pay back his depts of Rs.3783 due after 3 years by 3 equal yearly instalments. Find the amount of each instalments,money being worth 5% p.a. compounded annually

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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]

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]

What amount should be deposited annually so that after 16 years a person receives Rs 1,67,160 if the interest rate is 15% [(1.15)¹⁶ = 9.358]

Mohan invested Rs 29,040 in 15% of Rs 100 shares of a company quoted at a premium of 20%.
Calculate
(i) the number of shares bought by Mohan
(ii) his annual income from shares
(iii) the percentage return on his investment

Find the amount of an ordinary annuity of Rs 600 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly.[(1.01)⁴⁰=1.4889

What is the present value of an annuity due of Rs 1,500 for 16 years at 8% per annum? [(1.08)^-16 = 0.2919]

Find the amount of an annuity of Rs. 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