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Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

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Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120? Answer: Rs. 4000

Let investment in 12% stock be Rs. x. Then, investment in 15% stock = Rs. (12000 - x). ∴ 12/120 x x + 15/125 x (12000 - x) = 1360. ⇒ x/10 + 3/25 (12000 - x) = 1360. ⇒ 5x + 72000 - 6x = 1360 x 50 ⇒ x = 4000.