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. 5000

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Rs. 5600

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Rs. 4800

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Rs. 5400

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Solution

The correct option is A
Rs. 5000

Let the investment in $9 %$ stock be Rs. .

Then, investment in $10 %$ stock = Rs. (9800 - ).

$\frac{9}{75} \times x = \frac{10}{80} \times (9800 - x) \Rightarrow \frac{3 X}{25} = \frac{9800 - x}{8} \Rightarrow 24 x = 9800 \times 25 - 25 x \Rightarrow 49 x = 9800 \times 25 x = 5000.$

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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:

The correct option is A Rs. 5000 Let the investment in 9% stock be Rs. . Then, investment in 10% stock = Rs. (9800 - ). 975×x=1080×(9800−x)⇒3X25=9800−x8⇒24x=9800×25−25x⇒49x=9800×25x=5000.

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: