11th Business Maths Weekly Test - 2 ( Financial Mathematics )

MABS Institution

11th Business Maths Weekly Test - 2 ( Financial Mathematics )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 2 - Answer All Question

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

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.

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]

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

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

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

A cash prize of Rs 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

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

Part - B

Generic 5 - Answer All Question

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.

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

The capital of a company is made up of 50,000 preferences shares with a dividend of 16% and 2,500 ordinary shares. The par value of each of preference and ordinary shares is Rs 10. The company had a total profit of Rs. 1,60,000. If Rs 20,000 were kept in reserve and Rs 10,000 in depreciation, what percent of dividend is paid to the ordinary share holders
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.

A man sells 2000 ordinary shares (par value Rs 10) of a tea company which pays a dividend of 25% at Rs 33 per share. He invests the proceeds in cotton textiles (par value Rs 25) ordinary shares at `44 per share which pays a dividend of 15%. Find
(i) the number of cotton textiles shares purchased and
(ii) change in his dividend income.

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11th Business Maths Weekly Test - 2 ( Financial Mathematics )

MABS Institution

11th Business Maths Weekly Test - 2 ( Financial Mathematics )-Aug 2020

Part - A

Generic 2 - Answer All Question

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.

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]

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

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

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

A cash prize of Rs 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

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

Part - B

Generic 5 - Answer All Question

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.

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

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.

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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]

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