Aptitude - Stocks and Shares - Discussion

Here, They have considered the face value of both to be 100. Right?

My question is a man has Rs: 23000 he invested partly in 3% stock at 80 and rest 4% stock at 110. For total income is 850 find her investment in each case.

Can anyone solve this?

Great solution, Thanks @Sukumar.

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.

I am unable to understand the question. Please explain me in simple way.

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.

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.

How do come in 49?

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.

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