Question

Two investments totaling
$36,000
$⁢36,000
produce an annual income of
$2000
$⁢2000
. One investment yields
10%
10%
per year, while the other yields
2%
2%
per year. How much is invested at each rate?

Answer 1

Answer:

Let x + y = 36000 _________eqn (i)

0.1x + 0.02y = 200_________eqn (ii)

x + y = 36000

0.1x + 0.02y = 200 ×10

x + y = 36000

x + 0.2y = 20000

-. - -

0.8y = 16000

y = 16000 / 0.8

y = 20000

Put y = 20000 in eqn (i)

x + 20000 = 36000

x = 36000 - 20000

x = 16000

Hence,

₹ 20,000 deposited in first investment

₹ 16,000 deposited in second investment.

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@manishthakur100