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Solve the following Question.(1 Marks)

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21 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Sudhakar invests ₹ 1344 in buying shares of face value $₹ 24$ selling at a $12 \%$ premium. The dividend on the shares is $15 \%$ per annum. Calculate: The dividend he receives annually.
Answer
Face value of the share (F.V.) $=₹ 24$
Premium $=12 \%$
$\therefore$ Market value of the share (M.V.) $=24+\left(\frac{12}{100} \times 24\right)=₹ 26.88$: Dividend on the share $=15 \%$
Annual income on one share $=\frac{15}{100} \times 24=₹ 3.6$
$\therefore$ The total dividend he receives annually $=50 \times 3.6=₹ 180$
$\therefore$ Sudhakar receives $₹ 180$ as his annual dividend.
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Question 21 Mark
Sudhakar invests ₹ 1344 in buying shares of face value $₹ 24$ selling at a $12 \%$ premium. The dividend on the shares is $15 \%$ per annum. Calculate: The number of shares Sudhakar buys, and
Answer
Face value of the share (F.V.) $=₹ 24$
Premium $=12 \%$
$\therefore$ Market value of the share (M.V.) $=24+\left(\frac{12}{100} \times 24\right)=₹ 26.88$: Sudhakar invests $₹ 1344$ in the shares
$\therefore$ Number of shares purchased by Sudhakar $=\frac{1344}{26.88}=50$
$\therefore$ Sudhakar buys 50 shares.
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Question 31 Mark
A dividend of $9 \%$ was declared on $₹ 100$ shares selling at a certain price in the stock market. If the rate of return is $7.5 \%$ calculate: The amount to be invested to obtain an annual dividend of ₹ 630 .
Answer
Let ' $\mathrm{X}$ ' be the amount to be invested to obtain an annual dividend of $₹ 630$.
$\therefore 7.5 \%$ of $X$ is $₹ 630$
$\therefore \frac{7.5}{100} \times \mathrm{X}=630$
$\therefore X=\frac{630 \times 100}{7.5}$
$\therefore \mathrm{X}=8400$
$\therefore ₹ 8400$ need to be invested to obtain an annual dividend of ₹ 630 .
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Question 41 Mark
A dividend of $9 \%$ was declared on $₹ 100$ shares selling at a certain price in the stock market. If the rate of return is $7.5 \%$ calculate: The market price of each share, and
Answer
Given that,
Face value of the share $($ F.V $)=₹ 100$
Dividend $=9 \%$
Rate of return $=7.5 \%$
Annual income from the share $=\frac{9}{100} \times 100=₹ 9$
Rate of return $=\frac{\text { Annual income }}{\text { Market price }} \times 100$
$
\begin{aligned}
& \begin{array}{ll}
\therefore & 7.5=\frac{9}{\text { Market price }} \times \\
\therefore & \text { Market price }=\frac{900}{7.5}
\end{array} \\
& =₹ 120 \\
&
\end{aligned}
$
$\therefore$ The market price of the share is ₹ 120.
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Question 51 Mark
Ashutosh buys 80 , ₹ 100 shares at a discount of $20 \%$ and receives a return of $12 \%$ on his money. Calculate: The rate of dividend paid by the company.
Answer
Given
Face value of the shares $(F . V)=.₹ 100$
Discount $=20 \%$
$\therefore$ Market value of the shares (M.V.) $=100-\left(100 \times \frac{20}{100}\right)=₹ 80$: Ashutosh receives a return of $12 \%$ on his money.
$\therefore$ Ashutosh's income from shares $=\frac{12}{100} \times 6400=₹ 768$
$\therefore$ Ashutosh's annual income from one share $=\frac{768}{80}=₹ 9.6$
Annual income from one share $=\frac{\text { Dividend }}{100} \times$ Face value
$
\therefore 96=\frac{\text { Dividend }}{100} \times 100
$
$\therefore$ Rate of dividend $=9.6 \%$
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Question 61 Mark
Ashutosh buys 80 , ₹ 100 shares at a discount of $20 \%$ and receives a return of $12 \%$ on his money. Calculate: The amount invested by Ashutosh.
Answer
Given
Face value of the shares $(F . V)=.₹ 100$
Discount $=20 \%$
$\therefore$ Market value of the shares (M.V.) $=100-\left(100 \times \frac{20}{100}\right)=₹ 80$: Amount invested by Ashutosh = number of shares $\times$ market value of the shares
$
\begin{aligned}
& =80 \times 80 \\
& =₹ 6400
\end{aligned}
$
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Question 71 Mark
Mr. Rutvik invests ₹ 30,000 in buying shares of a company that pays a $12 \%$ dividend annually on $₹ 100$ shares selling at a premium of $₹ 50$. Find: His annual income from the shares.
Answer
Given that,
Face value of a share (F.V.) $=₹ 100$
Premium $=₹ 50$
$\therefore$ Market value of a share (M.V.) $=100+50=₹ 150$
Dividend $=12 \%$
Mr. Rutvik invests $₹ 30,000$ in the shares.: Dividend on the share $=12 \%$
$\therefore$ Annual income from one share $=\frac{12}{100} \times 100=₹ 12$
$\therefore$ His annual income from shares $=$ number of shares $\mathrm{x}$ income from one share
$=200 \times 12$
$=₹ 2400$
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Question 81 Mark
Mr. Rutvik invests ₹ 30,000 in buying shares of a company that pays a $12 \%$ dividend annually on $₹ 100$ shares selling at a premium of $₹ 50$. Find: The number of shares bought Mr. Rutvik and
Answer
Given that,
Face value of a share (F.V.) $=₹ 100$
Premium $=₹ 50$
$\therefore$ Market value of a share (M.V.) $=100+50=₹ 150$
Dividend $=12 \%$
Mr. Rutvik invests $₹ 30,000$ in the shares.: Number of shares bought by Mr. Rutvik $=\frac{\text { Amountinvested }}{\text { Marketvalue }}$
$
\begin{aligned}
& =\frac{30000}{150} \\
& =200
\end{aligned}
$
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Question 91 Mark
Two friends 'Aditi' and 'Vaishali' went to a restaurant. They ordered 2 Masala Dosa costing ₹ 90 each 2 coffee costing ₹ 60 each and 1 sandwich costing $₹ 80$. GST is charged at $5 \%$. Find the Total amount of the bill including GST.
Answer
Aditi and Vaishali ordered for 2 Masala Dosas, 2 Coffees and 1 Sandwich
$
\begin{aligned}
& \therefore \text { Total price of their order }=2 \times 90+2 \times 60+80=₹ 380 \\
& \text { GST is charged at } 5 \% \\
& \therefore \text { GST on the total order }=5 \% \times 380 \\
& =\frac{5}{100} \times 380 \\
& =₹ 19 \\
& \therefore \text { Total bill amount including GST }=380+19=₹ 399
\end{aligned}
$
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Question 101 Mark
'Chitra furnishings' purchased tapestry (curtain cloth) for ₹ 28,00,000 and sold for ₹ $44,80,000$. Rate of GST is $5 \%$. Find: CGST and SGST
Answer
Given, that 'Chitra furnishings' purchased tapestry (curtain cloth) for $₹ 28,00,000$ and rate of GST is $5 \%$: CGST }=\text { SGST }=\frac{\text { GST Payable }}{2} \\
& =\frac{84,000}{2} \\
& =₹ 42,000 \\
& \therefore \text { CGST }=\text { SGST }=₹ 42,000
\end{aligned}
$
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Question 111 Mark
'Chitra furnishings' purchased tapestry (curtain cloth) for ₹ 28,00,000 and sold for ₹ $44,80,000$. Rate of GST is $5 \%$. Find: ITC
Answer
Given, that 'Chitra furnishings' purchased tapestry (curtain cloth) for $₹ 28,00,000$ and rate of GST is $5 \%$: Now ITC $=$ Input tax $=₹ 1,40,000$
GST payable $=$ Output tax - ITC
$
=2,24,000-1,40,000
$
$
\begin{aligned}
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Question 121 Mark
'Chitra furnishings' purchased tapestry (curtain cloth) for ₹ 28,00,000 and sold for ₹ $44,80,000$. Rate of GST is $5 \%$. Find: Output Tax
Answer
Given, that 'Chitra furnishings' purchased tapestry (curtain cloth) for $₹ 28,00,000$ and rate of GST is $5 \%$: Output tax }=5 \% \text { of } 44,80,000 \\
& =\frac{5}{100} \times 44,80,000 \\
& =₹ 2,24,000 \\
& \text { (iii) Now ITC = Input tax }=₹ 1,40,000 \\
& \text { GST payable }=\text { Output tax }- \text { ITC } \\
& =2,24,000-1,40,000 \\
& =₹ 84,000
\end{aligned}
$
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Question 131 Mark
'Chitra furnishings' purchased tapestry (curtain cloth) for ₹ 28,00,000 and sold for ₹ $44,80,000$. Rate of GST is $5 \%$. Find: Input Tax
Answer
Given, that 'Chitra furnishings' purchased tapestry (curtain cloth) for $₹ 28,00,000$ and rate of GST is $5 \%$: Input tax $=5 \%$ of $28,00,000$
$
=\frac{5}{100} \times 28,00,000
$
$
=₹ 1,40,000
$
The tapestry was sold at ₹ $44,80,000$
$
\begin{aligned}
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Question 141 Mark
Heena Enterprise sold cosmetics worth $₹ 25,000$ to Leena traders, a retailer. Leena Traders sold it further to Meena Beauty Products for ₹ 30,000. Meena Beauty Product sold it further to the customers for ₹ 40,000 . The rate of GST is $18 \%$. Find: CGST and SGST
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Question 151 Mark
A person borrows 10,000 for 2 year at $4 \%$ p.a. simple interest he immediately lends it to another person at $6.5 \%$ p.a. for 2 years. Find his total gain in the transaction.
Answer
Person borrows money at $4 \%$ per annum and lends it at $6.5 \%$ per annum.
$\therefore$ His gain is $(6.5-4)=2.5 \%$ on $₹ 10000$ for 2 years
$
\begin{aligned}
& \text { i.e. gain }=\frac{1000 \times 2.5 \times 2}{100} \\
& =100 \times 5 \\
& =₹ 500
\end{aligned}
$
$\therefore$ The person will gain ₹ 500 in this transaction.
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Question 161 Mark
What would be the simple interest on ₹ 8,400 in 9 months at the rate of 8.25 percent per annum?
Answer
Principal $P=₹ 8400$
Rate of interest $R=8.25 \%$
Duration $T=9$ months $=\frac{3}{4}$ years
$
\begin{aligned}
& \text { Simple interest }=\frac{\text { PRT }}{100} \\
& =\frac{8400 \times 8.25}{100} \times \frac{3}{4} \\
& =21 \times \frac{33}{4} \times 3=\frac{99 \times 21}{4} \\
& =\frac{2079}{4} \\
& =519.75 \\
&
\end{aligned}
$
$\therefore$ Simple interest would be $₹ 519.75$.
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Question 171 Mark
What would be the simple interest at the rate of $9 \frac{1}{2} \%$ per annum on $₹ 6,000$ for $2 \frac{1}{2}$ years?
Answer
Rate of interest per annum $R=9 \frac{1}{2} \%=\frac{19}{2} \%$
Principal $P=₹ 6000$
Duration $T=2 \frac{1}{2}=\frac{5}{2}$ years
$\therefore$ Simple Interest, $\mathrm{I}=\frac{\mathrm{PRT}}{100}$
$=6000 \times \frac{19}{2} \times \frac{5}{2} \times \frac{1}{100}$
$=15 \times 19 \times 5$
$=1425$
$\therefore$ Simple interest would be $₹ 1425$.
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Question 181 Mark
What would be the simple interest on an amount of ₹ 9,600 at the rate of $6 \%$ per annum after 3 years?
Answer
Given Principal $P=₹ 9600$
Rate of interest $R=6 \%$ p.a.
Number of years $=T=3$
Simple Interest $\mid=\frac{\text { PRT }}{100}$
$
=\frac{9600 \times 3 \times 6}{100}
$
$
=96 \times 18
$
$=1728$
$\therefore$ Simple interest after 3 years would be $₹ 1728$
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Question 191 Mark
A batsman scored 92 runs which includes 4 boundaries 5 sixes. He scored other runs by running between the wickets. What percent of his total score did he make by running between the wickets?
Answer
Batsman scores 4 fours (boundaries) and 5 sixes in 92 runs.
Number of runs scored by fours and sixes $=4 \times 4+5 \times 6=46$
$
\therefore 92-46=46
$
Let 46 be $x \%$ of 92 .
Then $46=\frac{x}{100} \times 92$
$
\therefore \mathrm{x}=\frac{46 \times 100}{92}=\frac{100}{2}=50
$
$\therefore 50 \%$ of the total runs were scored by running between the wickets.
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Question 201 Mark
What percent is $3 \%$ of $5 \%$ ?
Answer
Let $3 \%$ be $x \%$ of $5 \%$.
Then $\frac{3}{100}=\frac{x}{100} \times \frac{5}{100}$
$
\therefore \mathrm{x}=\frac{3 \times 100}{5}=60
$
$\therefore 3 \%$ is $60 \%$ of $5 \%$.
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Question 211 Mark
What percent of $8.4 \mathrm{~kg}$ are 168 grams?
Answer
Let $168 \mathrm{gms}$ be $\mathrm{x} \%$ of $8.4 \mathrm{~kg}$
i.e., let $168 \mathrm{gms}$ be $\frac{x}{100}$ of $8400 \mathrm{gms}$
$\therefore 168=\frac{x}{100} \times 8400$
$\therefore \mathrm{x}=\frac{168}{84}=2$
$\therefore 168 \mathrm{gms}$ is $2 \%$ of $8.4 \mathrm{~kg}$
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