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Aptitude
56.
Find the annual dividend received by Nishita from 1200 preferred shares and 3000 common
shares both of par value Rs. 50 each if the dividend paid on preferred shares is 10% and
semi-annual dividend of 3
1
2
 is declared on common shares.      
  • A.
    Rs. 18500
  • C.
    Rs. 14500
  • B.
    Rs. 16500
  • D.
    Rs. 14500
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Dividend on 1200 preferred shares = 10% of Rs. (1200 x 50)
 
= Rs.  
10
100
 x 1200 x 50    = Rs. 6000  
 
Dividend on 3000 common shares =   3
1
2
 x 2   % of Rs. (3000 x 50)  
 
= Rs.  
7
100
 x 3000 x 50    = Rs. 10500  
 
 
  Total dividend received by Nishhita = Rs. (6000 + 10500) = Rs. 16500.  
 
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57.
A 6% stock yields 8%. The market value of the stock is:
  • A.
    Rs. 48
  • C.
    Rs. 96
  • B.
    Rs. 75
  • D.
    Rs. 133.33
  • Answer & Explanation
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Answer : [B]
Explanation :
 
For an income of Rs. 8, investment = Rs. 100.
 
For an income of Rs. 6, investment = Rs.  
100
8
x 6    = Rs. 75  
 
 
  Market value of Rs. 100 stock = Rs. 75.  
 
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58.
A mand bought Rs. 20000 of 5% stock at 90 and sold it when its price rose to Rs. 93
3
4
.    
Find his gain percent.
  • A.
    5    		 1 %  
    6  
  • C.
    5    		 5 %  
    6  
  • B.
    4    		 1 %  
    6  
  • D.
    4    		 5 %  
    6  
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Investment made by the man in buying Rs. 20000 of 5% stock at 90 = Rs.  
90
100
x 20000      
 
  = Rs. 18000.    
When the price rose to Rs. 93
3
4
, The man sold the stock.
 
Thus, Money realized from selling the stock = Rs.  
375
4
x
1
100
 x 20000    = Rs. 18750  
 
 
  Gain in the transaction = Rs. (18750 – 18000) = Rs. 750  
 
 
  Gain per cent =  
750
18000
 x 100   % = 4
1
6
%    
 
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59.
A man invested Rs. 260000 in 5% stock at 104. He sold the stock when the price rose to Rs. 125 and invested the sale proceeds in 6% stock. By doing this his income increased by Rs. 2500. At what price did he purchase the second stock?
  • A.
    Rs. 225
  • C.
    Rs. 125
  • B.
    Rs. 175
  • D.
    Rs. 150
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Income on first stock = Rs.  
5
104
 x 260000    = Rs. 12500  
 
Money realised by selling the stock when price rose to Rs. 125 = Rs.  
125
104
 x 260000    = Rs. 312500  
 
Income on second stock is Rs. 2500 more on the first stock
 
 
  Income on second stock = Rs. (12500 + 2500) = Rs. 15000  
 
Let Rs. x be the market value of the second stock
 
 
 
312500 x 6
x
 = 15000
 
 x =
312500 x 6
15000
 = 125
 
i.e. The man purchased the stock at Rs. 125.
 
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60.
Anu invested Rs. 32400 in 8% stock at 90. She sold out Rs. 18000 stock when the price
rose to Rs. 95 and the remaining stock at Rs. 98. She invested the total sale proceeds in
10% stock at 96
1
2
. Find the change in income of Anu.    
  • A.
    Rs. 750
  • C.
    Rs. 760
  • B.
    Rs. 720
  • D.
    Rs. 740
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
 
Income from first stock = Rs.  
8
90
x 32400    = Rs. 2880  
 
Amount of stock purchased by Anu = Rs.  
100
90
x 32400    = Rs. 36000  
 
Amount received by selling Rs. 18000 stock at 95 = Rs.  
95
100
x 18000    = Rs. 17100  
 
Amount received by selling the remaining Rs. 18000 stock at 98 = Rs.  
98
100
x 18000    = Rs. 17640  
 
 
  Total amount received = Rs. (17100 + 17640) = Rs. 34740  
 
The amount of Rs. 34740 is invested in 10% stock at 96
1
2
 
 
 
  Income from this stock = Rs.   10 x
2
193
 x 34740    = Rs. 3600  
 
Hence, change in income = Rs. (3600 – 2880) = Rs. 720.
 
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