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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:

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:

[A].

Rs. 4800

[B].

Rs. 5000

[C].

Rs. 5400

[D].

Rs. 5600

Answer: Option B

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.