Advertisements
Advertisements
प्रश्न
A man invests ₹ 13,500 partly in 6% of ₹ 100 shares at ₹ 140 and the remaining in 5% of ₹ 100 shares at ₹ 125. If his total income is ₹ 560, how much has he invested in each?
उत्तर
Let the amount invested in 6% of ₹ 100 shares at ₹ 140 be x.
Then the amount invested in 5% of ₹ 100 shares at ₹ 125 is ₹ 13500 – x.
Income from 6% shares = Number of shares × Face value of a share × Rate of dividend
= `"x"/140 xx 100 xx 6/100`
= `(3"x")/70`
Income from 5% shares = Number of shares × Face value of a share × Rate of dividend
= `(13500 - "x")/125 xx 100 xx 5/100`
= `(13500 - "x")/25`
Given that the total income = ₹ 560
`(3"x")/70 + (13500 - "x")/25` = 560
`((3"x") xx 5 + (13500 - "x") xx 14)/350` = 560
`(15"x" + 13500 xx 14 - 14"x")/350` = 560
x + 13500 × 14 = 560 × 350
x = 196000 – 189000 = 7000
Amount invested at 6% stock = ₹ 7,000
Amount invested at 5% stock = ₹ 13500 – ₹ 7000 = ₹ 6500
APPEARS IN
संबंधित प्रश्न
If the dividend received from 9% of ₹ 20 shares is ₹ 1,620, then find the number of shares.
Mohan invested ₹ 29,040 in 15% of ₹ 100 shares of a company quoted at a premium of 20%. Calculate
- the number of shares bought by Mohan
- his annual income from shares
- the percentage return on his investment
Sundar bought ₹ 4,500, 12% of ₹ 10 shares at par. He sold them when the price rose to ₹ 23 and invested the proceeds in ₹ 25 shares paying 10% per annum at ₹ 18. Find the change in his income.
Which is better investment? 20% stock at 140 (or) 10% stock at 70.
A man purchases a stock of ₹ 20,000 of face value ₹ 100 at a premium of 20%, then investment is ___________.
Purchasing price of one share of face value ₹ 100 available at a discount of `9 1/2%` with brokerage `1/2%` is ____________.
A invested some money in 10% stock at ₹ 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of ____________.
Vijay wants to invest ₹ 27,000 in buying shares. The shares of the following companies are available to him. ₹ 100 shares of company A at par value; ₹ 100 shares of company B at a premium of ₹ 25; ₹ 100 shares of company C at a discount of ₹ 10; ₹ 50 shares of company D at a premium of 20%. Find how many shares will he get if he buys shares of
- Company A
- Company B
- Company C
- Company D
Gopal invested ₹ 8,000 in 7% of ₹ 100 shares at ₹ 80. After a year he sold these shares at ₹ 75 each and invested the proceeds (including his dividend) in 18% for ₹ 25 shares at ₹ 41. Find
- his dividend for the first year
- his annual income in the second year
- The percentage increase in his return on his original investment
A man sells 2000 ordinary shares (par value ₹ 10) of a tea company which pays a dividend of 25% at ₹ 33 per share. He invests the proceeds in cotton textiles (par value ₹ 25) ordinary shares at ₹ 44 per share which pays a dividend of 15%. Find
- the number of cotton textiles shares purchased and
- change in his dividend income.
