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Question

A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

Options:
A .  3 : 4
B .  3 : 5
C .  4 : 5
D .  16 : 15
Answer: Option D

For an income of Re. 1 in 9% stock at 96, investment = Rs. \(\left(\frac{96}{9}\right)\)  = Rs.  \(\frac{32}{3}\)


For an income Re. 1 in 12% stock at 120, investment = Rs. \(\left(\frac{120}{12}\right)\)  = Rs. 10.


Therefore Ratio of investments =  \(\frac{32}{3}\) : 10 = 32 : 30 = 16 : 15.


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