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1
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
Discuss
Answer & Solution
Answer: Option B
Solution:
To obtain Rs. 10, investment = Rs. 96.
To obtain Rs. 650,
$$\eqalign{ & \text{investment} = Rs.\,\left( {\frac{{96}}{{10}} \times 650} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,6240 \cr} $$
2
A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being $$13\frac{1}{2}$$. The rate of interest obtained is:
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Investment}} \cr & = Rs.\,\left[ {20 \times \left( {50 - 5} \right)} \right] \cr & = Rs.\,900. \cr & {\text{FaceValue}} \cr & = Rs.\,\left( {50 \times 20} \right) \cr & = Rs.\,1000. \cr & {\text{Dividend}} \cr & = Rs.\,\left( {\frac{{27}}{2} \times \frac{{1000}}{{100}}} \right) \cr & = Rs.\,135. \cr & {\text{Interest}}\,{\text{Obtained}} \cr & = \left( {\frac{{135}}{{900}} \times 100} \right)\% \cr & = 15\% \cr} $$
3
Which is better investment: 11% stock at 143  or  $$9\frac{3}{4}$$% stock at 117?
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & {\text{Let}}\,{\text{investment}}\,{\text{in}}\,{\text{each}}\,{\text{case}}\,{\text{be}} \cr & Rs.\,\left( {143 \times 117} \right) \cr & {\text{Income}}\,{\text{in}}\,{{\text{1}}^{{\text{st}}}}\,{\text{case}} \cr & = Rs.\left( {\frac{{11}}{{143}} \times 143 \times 117} \right) \cr & = Rs.\,1287 \cr & {\text{Income}}\,{\text{in}}\,{{\text{2}}^{{\text{nd}}}}\,{\text{case}} \cr & = Rs.\,\left( {\frac{{39}}{{4 \times 117}} \times 143 \times 117} \right) \cr & = Rs.\,1394.25 \cr & {\text{Clearly,}}\,9\frac{3}{4}\% \,{\text{stock}}\,{\text{at}}\,117\,{\text{is}}\,{\text{better}} \cr} $$
4
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & {\text{Dividend}}\,{\text{on}}\,Rs.\,20 \cr & = Rs.\,\left( {\frac{9}{{100}} \times 20} \right) \cr & = Rs.\,\frac{9}{5} \cr & Rs.\,12\,{\text{is}}\,{\text{an}}\,{\text{income}}\,{\text{on}}\,Rs.\,100. \cr & \therefore Rs.\,\frac{9}{5}\,{\text{is}}\,{\text{an}}\,{\text{income}}\,{\text{on}} \cr & = Rs.\,\left( {\frac{{100}}{{12}} \times \frac{9}{5}} \right) \cr & = Rs.\,15 \cr} $$
5
By investing in $$16\frac{2}{3}$$% stock at 64, one earns Rs. 1500. The investment made is:
Discuss
Answer & Solution
Answer: Option B
Solution:
To earn Rs. $$\frac{{50}}{3},$$ investment = Rs. 64
To earn Rs. 1500,
investment =
$$\eqalign{ & Rs.\,\left( {64 \times \frac{3}{{50}} \times 1500} \right) \cr & = Rs.\,5760 \cr} $$
6
A 6% stock yields 8%. The market value of the stock is:
Discuss
Answer & Solution
Answer: Option B
Solution:
For an income of Rs. 8, investment = Rs. 100.
For an income of Rs. 6,
investment =
$$\eqalign{ & Rs.\,\left( {\frac{{100}}{8} \times 6} \right) \cr & = Rs.\,75 \cr} $$
∴ Market value of Rs. 100 stock = Rs. 75.
7
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Number}}\,{\text{of}}\,{\text{shares}} \cr & = {\frac{{4455}}{{8.25}}} \cr & = 540 \cr & {\text{Face}}\,{\text{value}} \cr & = Rs.\,\left( {540 \times 10} \right) \cr & = Rs.\,5400 \cr & {\text{Annual}}\,{\text{income}} \cr & = Rs.\,\left( {\frac{{12}}{{100}} \times 5400} \right) \cr & = Rs.\,648 \cr} $$
8
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{ivestment}}\,{\text{in}}\,9\% \,{\text{stock}}\,{\text{be}}\,Rs.\,x \cr & {\text{Then,}}\,{\text{investment}}\,{\text{in}}\,10\% \,{\text{stock}} \cr & = Rs.\,\left( {9800 - x} \right) \cr & \frac{9}{{75}} \times \,x\, = \frac{{10}}{{80}}\, \times \,\left( {9800 - x} \right) \cr & \Rightarrow \frac{{3x}}{{25}} = \frac{{9800 - x}}{8} \cr & \Rightarrow 24x = 9800 \times 25 - 25x \cr & \Rightarrow 49x = 9800 \times 25 \cr & \Rightarrow x = 5000 \cr} $$
9
A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:
Discuss
Answer & Solution
Answer: Option D
Solution:
For an income of Rs. 1 in 9% stock at 96, investment =
$$Rs.\,\left( {\frac{{96}}{9}} \right) = Rs.\,\frac{{32}}{3}$$
For an income Rs. 1 in 12% stock at 120, investment =
$$Rs.\,\left( {\frac{{120}}{{12}}} \right) = Rs.\,10$$
∴ Ratio of investments
= $$\frac{{32}}{3}$$ : 10
= 32 : 30
= 16 : 15
10
By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Discuss
Answer & Solution
Answer: Option B
Solution:
To earn Rs. 135, investment = Rs. 1620
To earn Rs. 8,
investment =
$${\text{Rs}}{\text{.}}\left( {\frac{{1620}}{{135}} \times 8} \right) = {\text{Rs}}{\text{.}}\,96$$
∴ Market value of Rs. 100 stock = Rs. 96