Aptitude - Stocks and Shares - Discussion
Discussion Forum : Stocks and Shares - General Questions (Q.No. 8)
8.
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
Answer: Option
Explanation:
Let the investment in 9% stock be Rs. x.
Then, investment in 10% stock = Rs. (9800 - x).
| 9 | x x = | 10 | x (9800 - x) |
| 75 | 80 |
 |
3x | = | 9800 - x |
| 25 | 8 |
24x = 9800 x 25 - 25x
49x = 9800 x 25
x = 5000.
Discussion:
12 comments Page 1 of 2.
Manisha said:
8 years ago
Total income=9800.
Divide income into two parts x,9800-x.
1st part:
income=fnr/100 where n=investment/market value,
income1=(100*x*9)/100.
2nd part:
income2=(100*(9800-x)*10)/100.
We know that, income1=income2.
(100*x*9)/100=(100*(9800-x)*10)/100.
Solve the above equation, the value of x is 5000, which is the investment on 9% shares.
Divide income into two parts x,9800-x.
1st part:
income=fnr/100 where n=investment/market value,
income1=(100*x*9)/100.
2nd part:
income2=(100*(9800-x)*10)/100.
We know that, income1=income2.
(100*x*9)/100=(100*(9800-x)*10)/100.
Solve the above equation, the value of x is 5000, which is the investment on 9% shares.
(1)
Srikanth said:
1 decade ago
i don't understand could u plz explain in detail
Sro said:
1 decade ago
Hi srikanth
they invest 9800.
this amt is divide into two part (that are x and 9800-x.)
after tat x amt invest for 9% stock and then remain amt is invest into 10% stock.
in problem they also told tat income of both stock are equal so equate both income, now u'll get answer.
I HOPE U UNDERSTAND...
they invest 9800.
this amt is divide into two part (that are x and 9800-x.)
after tat x amt invest for 9% stock and then remain amt is invest into 10% stock.
in problem they also told tat income of both stock are equal so equate both income, now u'll get answer.
I HOPE U UNDERSTAND...
Souvik said:
1 decade ago
Why have we divided the percentage by 75 and 8 receptively?
Priyanka said:
10 years ago
Dear @Souvik,
They are going to invest only 9% and 10% of the stock which is at the rate of 75 and 80 respectively. If they are going to invest the whole amount you can divide it by 100.
They are going to invest only 9% and 10% of the stock which is at the rate of 75 and 80 respectively. If they are going to invest the whole amount you can divide it by 100.
Muthumani said:
10 years ago
How do come in 49?
Sukumar Satyen said:
10 years ago
Let the Face Value of Stock giving dividend 9% be Rs. X, whose Market Value is Rs.75.
Let the Face Value of Stock giving dividend 10% be Rs. Y, whose Market Value is Rs.80.
It is given that,
Total Annual Income = x + y = Rs.9800.
=> y = Rs.9800 - x.
By given formula,
Face Value * Dividend % / Market Value = Annual income.
Annual Income from 1st Stock = 9x/75.
Annual Income from 2nd Stock = 10y/80 = 10 (9800 - x) /80.
Also given that.
Annual Income from 1st Stock = Annual income from 2nd Stock.
=> 9x/75 = 10 (9800 - x) /80.
=> 49x = 9800 x 25.
=> x = 5000.
=> Face Value of Stock giving dividend 9% be Rs.5000.
Let the Face Value of Stock giving dividend 10% be Rs. Y, whose Market Value is Rs.80.
It is given that,
Total Annual Income = x + y = Rs.9800.
=> y = Rs.9800 - x.
By given formula,
Face Value * Dividend % / Market Value = Annual income.
Annual Income from 1st Stock = 9x/75.
Annual Income from 2nd Stock = 10y/80 = 10 (9800 - x) /80.
Also given that.
Annual Income from 1st Stock = Annual income from 2nd Stock.
=> 9x/75 = 10 (9800 - x) /80.
=> 49x = 9800 x 25.
=> x = 5000.
=> Face Value of Stock giving dividend 9% be Rs.5000.
Ramuism said:
8 years ago
Let 9% in x1 stocks and 10% in X2 stocks and let face value = 100.
Given that equal income from both stocks so, 9x1 (Dividend * no.of stoks 8face value) = 10 x 2.
x1 = (10 * x2)/9 -------> (1)
Total investment = 9800 = 75 * x1 + 80 * x2(i.e. market value * no.of stocks).
Substitute equation 1 in x1 to solve the equation.
x2 = 60.
So investment in X1 is X1 * 75.
INV = 10 * 60 * 75/9,
INV = 5000.
Given that equal income from both stocks so, 9x1 (Dividend * no.of stoks 8face value) = 10 x 2.
x1 = (10 * x2)/9 -------> (1)
Total investment = 9800 = 75 * x1 + 80 * x2(i.e. market value * no.of stocks).
Substitute equation 1 in x1 to solve the equation.
x2 = 60.
So investment in X1 is X1 * 75.
INV = 10 * 60 * 75/9,
INV = 5000.
Achyudha said:
8 years ago
I am unable to understand the question. Please explain me in simple way.
Chandru said:
7 years ago
Great solution, Thanks @Sukumar.
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