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Q.

Mr. Anil wants to invest at most Rs. 60000 in fixed deposit (F.D.) and public provident fund. He wants to invest at least Rs. 20000 in F.D. and at least Rs. 15000 in P.P.F. The rate of interest on F.D in 8 % p.a. and that on P.P.F is 10 % p.a. formulae the above problem as L.P.P to determine maximum yearly income.

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a

x ≥ 20000

b

y ≥ 15000.

c

x ≥ 20000, y ≥ 15000.

d

x=15000

answer is C.

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Detailed Solution

Let money invested in fixed deposit = x
money invested in P.P.F. = y
According to question,
constraint x + y ≤ 60000
Also according to question,
⇒ x ≥ 20000
and,
⇒ y ≥ 15000
Let total Geary income = z.
from question,
z = (8 % or x) + (10 % y)
⇒ z = 0.08x + 0.1y
⇒ x + y ≤ 60000, x ≥ 20000
and y ≥ 15000.

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