# 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:
Rs. 4800
Rs. 5000
Rs. 5400
Rs. 5600
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.

i don't understand could u plz explain in detail

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...

Why have we divided the percentage by 75 and 8 receptively?

Priyanka said:   9 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.

Muthumani said:   9 years ago
How do come in 49?

Sukumar Satyen said:   9 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.

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.

Achyudha said:   7 years ago
I am unable to understand the question. Please explain me in simple way.

Manisha said:   7 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.

Chandru said:   6 years ago
Great solution, Thanks @Sukumar.