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Published on: 21/09/2019
Financial Mathematics
Download Tamil Nadu 11th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test
1.
Find the market value of 62 shares available at Rs. 132 having the par value of Rs. 100.
2.
If the dividend received from 10% of Rs. 25 shares is Rs. 2000. Find the number of shares.
3.
Find the market value of 325 shares of amount Rs. 100 at a premium of Rs. 18.
4.
What is the amount of perpetual annuity of Rs. 50 at 5% compound interest per year?
5.
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.
6.
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
7.
If the dividend received from 9% of Rs. 20 shares is Rs. 1,620, then find the number of shares.
8.
How much will be required to buy 125 of Rs. 25 shares at a discount of Rs. 7
9.
A man buys 500 shares of amount Rs. 100 at Rs. 14 below par. How much money does he pay?
10.
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
1.
Market value of 325 shares
= No. of. shares x M.V of 1 share
= 62 x 132 = Rs. 8184
2.
Let x be the number of shares.
Face value of ‘x’ shares = Rs. 25 x
Now \(\frac{10}{100}\times 25x=Rs. 2,000\)
\(\Rightarrow x=\frac{2000\times 100}{25\times 10}=800\)
Hence the number of shares = 800
3.
Face value of a share = Rs. 100
Premium per share = Rs. 18
M.V. of a share = Rs. 118
Market value of 325 shares = number of shares × M.V of a share
= 325 × 118 = Rs. 38,350
Therefore market value of 325 shares is Rs. 38,350.
4.
a = 50, i = \(\frac{5}{100}\) = .05
A = \(\cfrac { a }{ i } =\cfrac { 50 }{ 0.05 } \) Rs.1000
5.
Here a = 9,000 and i = 0.15
p = \(\frac{a}{i}\)
= \(\frac{9000}{0.15}\)
= \(\frac{9,00,000}{15}\)
= 60,000
Therefore the amount to be deposited is Rs. 60,000.
6.
a = Rs.1500; i = 12/100 = 0.12
P = \(\frac { a }{ i } =\frac { 1500 }{ 0.12 } \) = Rs.12,500
The person has to deposit Rs.12,500 to meet this expense.
7.
Let the number of shares be x.
Dividend = No.of shares x F.V x Rate percentage.
1620 = \(x \times 20 \times \frac { 9 }{ 100 } \)
x = \(\frac { 1620\times 100 }{ 20\times 9 } \) = 900 shares
8.
Market value of one share = 25 - 7 = 18
Market value of 125 shares = 125 x 18
= Rs. 2250
9.
Number of shares = 500
Face value of a share = Rs. 100
Discount = Rs. 14
Market value of a share = 100 – 14 = Rs. 86 (face value – discount)
Market value of 500 shares = Number of shares × market value of a share
= 500 × 86 = 43,000
Market value of 500 shares = Rs. 43,000
10.
\(\text {(i) Number of shares }=\frac{\text { Investment }}{M \cdot V}\)
\(=\frac{8000}{80}=100\)
\(\text {Amount of dividend }=100 \times 100 \times \frac{7}{100}= 700\)
\(\text {(ii) SP of } 100 \text { shares }=75 \times 100= 7500\)
\(\text {Investment }=\mathrm{SP}+\text { Dividend }\)
\(=7500+700= 8200\)
\(\text {Income }=\frac{\text { Investment }}{\mathrm{M} . \mathrm{V}} \times \mathrm{FV} \times \text { Rate of dividend }\)
\(=\frac{8200}{41} \times 25 \times \frac{18}{100}= 900 \text {. }\)
\(\text {(iii) Increase in his return }=900-700\)
\(\text { = } 200\)
\(\% \text { of increase in return }=\frac{\text { Increase in return }}{\text { Investment }} \times 100\)
\(=\frac{200}{8000} \times 100=2.5 \% \)
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Tamilnadu Stateboard 11th Standard Subjects
Maths
Commerce
Economics
Biology
Business Maths and Statistics
Accountancy
Computer Science
Physics
Chemistry
Maths
Biology
Economics
Physics
Chemistry
History
Business Maths and Statistics
Computer Science
Accountancy
Computer Applications
History
Computer Technology
Commerce
Computer Applications
Computer Technology
Tamil
English
French
Tamilnadu Stateboard Standards
