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19 questions · timed · auto-graded

Question 12 Marks
Which among these is a better investment:
12.5% at 125 or 7.5% at 80
Answer
$12.5 \%$ at 125 :
Income on Rs $125=$ Rs 12.5
Income on Rs $1=\frac{12.5}{125}=0.1$
$7.5 \%$ at 80 :
Income on Rs $80=$ Rs 7.5
Income on Rs $1=\frac{7.5}{80}=0.093$
Therefore, $12.5 \%$ at 125 is a better investment.
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Question 22 Marks
Which among these is a better investment:
18% at 120 or 22% at 150
Answer
$18 \%$ at 120 :
Income on Rs $120=$ Rs 18
Income on Rs $1=\frac{18}{120}=0.15$
$22 \%$ at 150 :
Income on Rs $150=$ Rs 22
Income on Rs $1=\frac{22}{150}=0.146$
Therefore, $18 \%$ at 120 is a better investment.
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Question 32 Marks
Which among these is a better investment:
15% at 80 or 12% at 75
Answer
$15 \%$ at 80 :
Income on Rs $80=$ Rs 15
Income on Rs $1=\frac{15}{80}=0.187$
$12 \%$ at $75:$
Income on Rs $75=$ Rs 12
Income on Rs $1=\frac{12}{75}=0.16$
Therefore, $15 \%$ at 80 is a better investment.
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Question 42 Marks
Which among these is a better investment:
16% at 80 or 18% at 120
Answer
$16 \%$ at 80 :
Income on Rs $80=$ Rs 16
Income on Rs $1=\frac{16}{80}=0.20$
$18 \%$ at 120 :
Income on Rs $120=$ Rs 18
Income on Rs $1=\frac{18}{120}=0.15$
Therefore, $16 \%$ at 80 is a better investment.
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Question 52 Marks
Which among these is a better investment:
12% at 125 or 16% at 150
Answer
$12 \%$ at 125 :
Income on Rs $125=$ Rs 12
Income on Rs $1=\frac{12}{125}=0.096$
$16 \%$ at 150 :
Income on Rs $150=$ Rs 16
Income on Rs $1=\frac{16}{150}=0.106$
Therefore, $16 \%$ at 150 is a better investment.
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Question 62 Marks
Calculate the annual income of the following:
120 shares of Rs 50 each available at Rs 62 and paying 13% dividend.
Answer
No. of shares $=120$
Price of each share $=$ Rs 50
Face value of 120 shares $=\operatorname{Rs}(50 \times 120)=\operatorname{Rs} 6,000$
Dividend $=13 \%$
Therefore, Annual Income $=$ Rs $\frac{13 \times 6000}{100}=$ Rs 780
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Question 72 Marks
Calculate the annual income of the following:
60 shares of Rs 100 each available at Rs 75 and paying 5% dividend.
Answer
No. of shares $=60$
Price of each share $=$ Rs 100
Face value of 60 shares $=\operatorname{Rs}(100 \times 60)=\operatorname{Rs} 6,000$
Dividend $=5 \%$
Therefore, Annual Income $=$ Rs $\frac{5 \times 6000}{100}=$ Rs 300
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Question 82 Marks
Calculate the annual income of the following:
424 shares of Rs 125 each paying 8% dividend.
Answer
No. Of shares $=424$
Price of each share $=$ Rs 125
Therefore, Total investment= Rs ( 125 x 424) = Rs 53,000
Dividend $=8 \%$
$
\text { Hence Annual Income }=\text { Rs } \frac{8 \times 53000}{100}=\text { Rs } 4240
$
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Question 92 Marks
Calculate the annual income of the following:
180 shares of Rs 50 each paying 12% dividend.
Answer
No. Of shares $=180$
Price of each share $=$ Rs 50 Therefore, Total investment
$
=\operatorname{Rs}(50 \times 180)=\operatorname{Rs} 9,000
$
Dividend $=12 \%$
Hence Annual Income $=$ Rs $\frac{12 \times 9000}{100}=$ Rs 1080
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Question 102 Marks
Calculate the investment required to buy:
116 shares of Rs 125 each at par.
Answer
116 shares of Rs 125 each at par.
No. Of shares to be purchased = 116
Cost of each share = Rs 125
Therefore, money required to purchase 116 shares
= Rs 125 x 116 =Rs 14,500. 
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Question 112 Marks
Calculate the investment required to buy:
750 shares of Rs 100 each at a discount of 24%.
Answer
750 shares of Rs 100 each at a discount of 24°/o.
No. Of shares to be purchased = 750
Rs 100 shares at a discount of 24°/o = Rs ( 100 - 24°/o of Rs 100) = Rs( 100 - 24) =Rs 76
Therefore, money required to purchase 750 shares
= Rs 76 x 750 =Rs 57,000.
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Question 122 Marks
Calculate the investment required to buy:
340 shares of Rs 125 each at a discount of 20%.
Answer
40 shares of Rs 125 each at a discount of 20 %.
No. Of shares to be purchased = 340
Rs 125 shares at a discount of 20 % =Rs (125 - 20 % of Rs 125) = Rs( 125 - 25) = Rs 150
Therefore, money required to purchase 340 shares
= Rs 100 x 340 =Rs 34,000.
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Question 132 Marks
Calculate the investment required to buy:
220 shares of Rs 75 each at a premium of 15%.
Answer
220 shares of Rs 7 5 each at a premium of 15 %.
No. Of shares to be purchased = 220
Rs 75 shares at a premium of 15 % = Rs (75+15% of Rs 75) = Rs (75+11.25) =Rs 86.25
Therefore, money required to purchase 220 shares
=Rs 86.25 x 220 =Rs 18,975.
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Question 142 Marks
Calculate the investment required to buy:
150 shares of Rs 100 each at a premium of 12%.
Answer
150 shares of Rs 100 each at a premium of 12 %.
No. Of shares to be purchased = 150
Rs 100 shares at a premium of 12 % =Rs ( 100+ 12 % of Rs 100)
= Rs (100+12) = Rs 112
Therefore, money required to purchase 150 shares
= Rs 112 x 150 = Rs 16,800.
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Question 152 Marks
Calculate the investment required to buy:
250 shares of Rs 20 each at par.
Answer
250 shares of Rs 20 each at par.
No. Of shares to be purchased = 250
Cost of each share = Rs 20
Therefore, money required to purchase 250 shares
= Rs 20 x 250 =Rs 5,000.
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Question 162 Marks
Calculate the investment required to buy:
425 shares of Rs 10 each at a discount of Rs 1.50.
Answer
425 shares of Rs 10 each at a discount of Rs 1.50.
No. Of shares to be purchased = 425
Rs 10 shares at a discount of Rs 1.50 =Rs (10-1.50) =Rs 8.50
Therefore, money required to purchase 425 shares
=Rs 8.50 x 425
= Rs 3612.50
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Question 172 Marks
Calculate the investment required to buy:
600 shares of Rs 25 each at a discount of Rs 3.
Answer
600 shares of Rs 25 each at a discount of Rs 3.
No. Of shares to be purchased = 600
Rs 25 shares at a discount of Rs 3 = Rs (25-3) = Rs 22
Therefore, money required to purchase 600 shares
= Rs 22 x 600 =Rs 13,200.
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Question 182 Marks
Calculate the investment required to buy:
315 shares of Rs 60 each at a premium of Rs 12.
Answer
315 shares of Rs 60 each at a premium of Rs 12.
No. Of shares to be purchased = 315
Rs 60 shares at a premium of Rs 12 =Rs (60+12) =Rs 72
Therefore, money required to purchase 315 shares
=Rs 72 x 315 = Rs 22,680.
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Question 192 Marks
Calculate the investment required to buy:
500 shares of Rs 75 each at a premium of Rs 17.
Answer
500 shares of Rs 75 each at a premium of Rs 17.
No. Of shares to be purchased = 500
Rs 7 5 shares at a premium of Rs 17 = Rs (75+17) = Rs 92
Therefore, money required to purchase 500 shares
= Rs 92 x 500 = Rs 46,000.
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[2 Mark Question Answer] - Mathematics STD 10 Questions - Vidyadip