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Bhagwati inherited Rs. 12000.00, she invested part of it as 10 % and the rest at 12 %. Her annual income from these investments is Rs. 1280.00. How much did she invest each rate?

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8000 & 4000

4000 & 4000

2000 & 4000

8000 & 2000

answer is A.

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Detailed Solution

Given,
Overall money = 12000 Rs.
Suppose that, 1st investment = x Rs.
So, the 2nd investment

= (12000 - x) Rs

Now, she earns 10% on first investment. Thus,
1st income

= \frac{10}{100} \times x = \frac{x}{10}

She earns 12% on second investment. Thus,
2nd income

= \frac{12}{100} (12000 - x)

Now, total income is Rs. 1280. So,

\frac{10 x}{100} + \frac{12}{100} (12000 - x) = 1280

\Rightarrow 10 x + 144000 - 12 x = 128000

\Rightarrow 144000 - 128000 = 2 x

\Rightarrow x = \frac{16000}{2}

\Rightarrow

x = 8000

12000 - x = 4000

Investments are 8000 & 4000 Rs.
Option 1 is correct.

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