Advertisements
Advertisements
Question
Divide Rs. 101520 into two parts such that if one part is invested in 8% Rs. 100 shares at 8% discount and the other in 9% Rs. 50 shares at 8% premium, the annual incomes are equal.
Solution
Total investment = Rs. 101520
Let investment in first part = x
and in second part = (101520 – x)
Market value of first kind of shares = Rs. 100 – Rs. 8
= Rs. 92
and rate of dividend = 8%
∴ Dividend = `(x xx 8)/(92) = "Rs." (2x)/(23)`
Market value of second kind = (101520 - x)
Rate of dividend = 9%
and market value = `"Rs." (100 + 8)/(100) xx 50`
= `(108)/(100) xx 50`
= Rs. 54
∴ Dividend = `(101520 - x) xx (9)/(2 xx 54) = (101520 - x)/(12)`
∴ According to the sum `(2x)/(23) = (101520 - x)/(12)`
⇒ 24x = 101520 x 23 - 23x
⇒ 24x + 23x = 101520 x 23
⇒ 47x = 101520 x 23
∴ x = `(101520 xx 23)/(47)` = 49680
∴ Investment of first part = Rs. 49680
and in second part
= Rs. 101450 - Rs. 49680
= Rs. 51840.
APPEARS IN
RELATED QUESTIONS
Ashok invested Rs. 26,400 on 12%, Rs. 25 shares of a company. If he receives a dividend of Rs. 2,475. Find the :
1) number of shares he bought
2) The market value of each share
By investing Rs. 7,500 in a company paying 10 percent dividend, an annual income of Rs. 500 is received. What price is paid for each of Rs. 100 share?
How much should a man invest in Rs. 100 shares selling at Rs. 110 to obtain an annual income Rs. 1,680, if the dividend declared is 12%?
A man buys 400, twenty-rupee shares at a discount of 20% and receives a return of 12% on his money. Calculate:
- the amount invested by him.
- the rate of dividend paid by the company.
Mr. Shameem invested `33 1/3%` of his savings in 20% Rs. 50 shares quoted at Rs. 60 and the remainder of the savings in 10% Rs. 100 shares quoted at Rs. 110. If his total income from these investments is Rs. 9,200; find:
- his total savings.
- the number of Rs. 50 shares.
- the number of Rs. 100 shares.
Find the annual income derived from 250, Rs. 60 shares paying 5% dividend.
A sum of rupees 11,880 is invested in Rs. 50 shares available at 12% discount. Find the income, if a dividend of 12% is given on the shares
A dividend of 10% was declared on shares with a face value of Rs. 60. If the rate of return is
12%, calculate:
(i) The market value of the share.
(ii) The amount to be invested to get an annual income of Rs. 1,200.
Rohit Kulkami invests Rs 10000 in 10% Rs 100 shares of a company. If his annual dividend is Rs 800, find :
(i) The market value of each share.
(ii) The rate percent which he earns on his investment.
At what price should a 9% Rs 100 share be quoted when the money is worth 6%?
