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Brilliant’s Composite Mathematics Class 8 Solutions Chapter 9 Shares and Debentures
Welcome to NCTB Solutions. Here with this post we are going to help 8th class students for the Solutions of Brilliant’s Composite Mathematics Class 8 Math Book, Chapter 9, Shares and Debentures. Here students can easily find step by step solutions of all the problems for Shares and Debentures, Exercise 9.1 and 9.2 Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily.
Shares and Debentures Solution Exercise 9.2
Question no – (1)
Solution :
Investment = 80 rupees per share
Income = 4 rupees per income
∴ Income percentage
= 4/30 × 100
= 25%
Thus, the income percent will be 25%
Question no – (2)
Solution :
Investment = 75 rupees per share
∴ Income = 125 × 21/100
= 105/4
= 26.25 rupees per share .
∴ Annual yield,
= 26.25/75 × 100
= 35%
Hence, the annual yield percent will be 35% .
Question no – (3)
Solution :
Sonu received = (750 × 2)
= 1500 rupees in a whole year
Since, the rate of interest is 10%,
Total face value of all the debentures is,
= 1500 × 100/10
= 15000 rupees
∴ The value of 1 debenture
= 15000/300
= 50 rupees
Therefore, the face value of one debenture will be Rs 50.
Question no – (4)
Solution :
The cost price of a debentures worth Rs 100 = 90
Return from a debentures,
= 100 × 9/100
= 9 rupees
∴ Yield percent,
= (9/90 × 100)%
= 10%
Question no – (5)
Solution :
Face value of 1 debenture = 100 rupees
Market value of 1 debenture = 112 rupees
Rate per cent that Murlidhar earns,
= (8/112 × 100)%
= 7.14%
Hence, the rate percent will be 7.14%
Question no – (6)
Solution :
Since premium is 10% the total face value is,
= 5500 × 100/110
= 5000 rupees
∴ Income derived at 18%
= 5000 × 18/100
= 900 rupees
Question no – (7)
Solution :
Let the face value be 100 rupees in each case
1st case : Investment at 10% discount = 90 rupees
∴ Income at 10% return,
= 90 × 10/100
= 9 rupees
2nd case : Investment at 10% premium = 110 rupees
∴ Income at 20% return
= 110 × 20/100
= 22 rupees
∴ Return on investment per cent in the first case
= 9/90 × 100
= 10% and in the second,
Case = 22/100 × 100
= 20%
Therefore, the second investment is better.
Question no – (8)
Solution :
Let the face value be 100 rupees in each case
1st case :
Investment at 8% premium = 108 rupees Income at 15% interest
= 108 × 15/100
= 16.2 rupees
2nd case :
Investment at 4% premium = 104 rupees
∴ Income 14% return,
= 104 × 14/100
= 14.56 rupees
Thus, the first investment is better.
Question no – (9)
Solution :
Market Value at each debentures at 15% Premium 115 rupees. The value of each debenture including brokerage,
= 115 × 101/100
= 116.15 rupees
No of debentures he bought,
= 5200 ÷ 100
= 52.
∴ His total investment
= 52 × 116.15
= 6039.80 rupees
Question no – (10)
Solution :
Total face value of the debentures = 7500 rupees.
Total market value,
= 7500 × 105/100
= 7875 rupees
Brokerage,
= 7875 × 2/100
= 157.50 rupees
∴ Nisha received,
= 7875 – 157.50
= 7717.50 rupees.
Question no – (11)
Solution :
Harish’s income in 1 debenture = 15 rupees.
∴ Total number of shares,
= 37500/15
= 2500.
∴ His total investment,
= 2500 × 80 × 101/100
= 20200 rupees
Question no – (14)
Solution :
Vineet gets = 10 × 8/100
= 0.8 rupees per share.
So, his income per cent on investment
= 0.8/7.5 × 100
= 32/3%
= 10.67%
Question no – (15)
Solution :
Ratio of return from a debenture and a share is
= 40/3 : 20
= 2 : 3.
Since, the ratio of total return from debentures and shares is = 1 : 1,
Therefore, the ratio of number of debentures and shares is = 3 : 2.
The ratio of investment per debenture and per share is 11 : 10.
∴ The ratio of invest on debenture and on shares is,
= (3 × 11) : (2 × 10)
= 33 : 20
∴ He invested on debentures,
= 33/53 × 5300
= 3300
He invested on shares,
= 20/52 × 5300
= 2000 Rs
Question no – (16)
Solution :
Number of debentures,
= 6000/100
= 60.
Market Value
= 60 × 105
= 6300 rupees.
Dividend = 6000 × 20/100
= 1200 rupees.
Brokerage = 6300 × 1/100
= 63 rupees.
∴ Sona will get,
= 6300 + 1200 – 63
= 7337 rupees.
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