Rs. 9800 are invested

Question

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 :

Options:

A . Rs. 4800

B . Rs. 5000

C . Rs. 5400

D . Rs. 5600

Answer: Option B

Let the investment in 9 % stock be Rs. `x`

Then investment in 10 % stock = Rs. `(9800 - x)`

`9/76 xx x = 10/80 xx (9800 - x)`

`hArr (3x)/(25) = (9800 - x)/(8)`

`hArr 24x = 9800 xx 25 - 25x`

`hArr 49x = 9800 xx 25`

`hArr x = 5000`

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