20.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?
A. Rs. 4000
B. Rs. 4500
C. Rs. 5500
D. Rs. 6000
Answer:
Option : A
Let investment in 12% stock be Rs. y.
Then, investment in 15% stock = Rs. (12000 - y).
∴
|
|
12
|
x y +
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15
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x (12000 - y)
|
|
= 1360
|
120
|
125
|
⇒
|
|
y
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+
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3
|
x (12000 - y)
|
|
= 1360
|
10
|
25
|
⇒ 5y + 72000 - 6y = 1360 x 50
⇒ y = 4000.