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:

16:15

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4:5

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3:4

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3:5

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Solution

The correct option is A
16:15

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

For an income Re. 1 in 12% stock at 120, investment = $R s . (\frac{120}{12}) = R s .10 .$

Therefore, ratio of investments $= \frac{32}{3} : 10 = 32 : 30 = 16 : 15$

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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:

The correct option is A 16:15 For an income of Re. 1 in 9% stock at 96, investment = Rs.(969)=Rs.323 For an income Re. 1 in 12% stock at 120, investment =Rs.(12012)=Rs.10. Therefore, ratio of investments =323:10=32:30=16:15

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:

The correct option is A
16:15

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

For an income Re. 1 in 12% stock at 120, investment = $R s . (\frac{120}{12}) = R s .10 .$

Therefore, ratio of investments $= \frac{32}{3} : 10 = 32 : 30 = 16 : 15$