By selling at rs. 77 some 9/4% shares of face value rs. 100,and investing the proceeds in 6% shares of rs. 100 selling at rs. 110 , person increased his income by rs 117 per annum, how many shares did he sell
Answers
Thank you for asking this question. Here is your answer:
We will let x be the shares a person sold for Rs 77 and it has a face value of Rs 100
And income per annum on these shares is 9/4% = 9/4 x 100
= Rs 9/4 x
So the selling price of the shares will be Rs 77x
The purchase price of each share is Rs. 110 and the face value is Rs. 100
And the number of shares the person purchased by selling the previous shares:
77x/110 = 7x/10
The income on each share per annum is 6% of Rs 100 = Rs 6
The income on 7x/10 shares = Rs 6 x 7x/10
= Rs 21x/5
So the income is increasing by 117 per annum
21x / 5 - 9/4x = 117
84x - 45x/20 = 117
39x/20 = 117
x = 20 x 117/39
= 60
So that means he sold 60 shares
If there is any confusion please leave a comment below.
Answer:
Step-by-step explanation:
divi per share = 9*100/4*100 = 2.25
let the no be x
Total dividend = 9x/4
When M. V = 77,
Amount received by selling = 77
share/investment = 77x
N. V = 100
Divi per share =( 6*100)/100 = 6
M. V = 110
No.of share =( 77x)/110 = 7x/10
Total dividend =( 7x)*(6/10) = 21x/5
(21x/5) - (9x/4)= 117
(84x - 45x)/20 = 117
39x = 117*20
x =( 117*20)/39
x = 60 Ans