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: Choose the correct choice from the following answers.
A) 16:15 B) 15:16 C) 12:11 D) 11:13 E) 13:18
Let the Face Value of Stock giving dividend 9% be Rs. x, whose Market Value is Rs.96.   Let the Face Value of Stock giving dividend 12% be Rs. y, whose Market Value is Rs.120.   By given formula,   Face Value * Dividend % / Market Value = Annual income.   Annual Income from 1st Stock = 9x/96.   Annual Income from 2nd Stock = 12y/120.   To obtain equal dividends from both,   Annual Income from 1st Stock = Annual Income from 2nd Stock.   = 9x/96 = 12y/120.   = x/y = 96/90.   We find GCD of 96, 90 = 6.   = x/y = 16*6 / 15*6.   = Required ratio = x:y = 16:15.   answer : 16:15
<result>A</result>
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: