Question : Rs. 5000 is divided into two parts such that if one part is invested at 4% and the other at 5%, then the whole annual interest from both sums is 223. How much was invested at 4%?
Option 1: Rs. 2600
Option 2: Rs. 2700
Option 3: Rs. 2400
Option 4: Rs. 2300
Correct Answer: Rs. 2700
Solution :
Let the part of the money invested at 4% as \(x\) and the part invested at 5% as $(5000 - x)$.
The total annual interest from both investments is Rs. 223.
$⇒0.04x + 0.05(5000 - x) = 223$
$⇒0.04x + 250 - 0.05x = 223$
$⇒0.01x = 27$
$\therefore x = \frac{27}{0.01} = 2700$
Hence, the correct answer is Rs. 2700.
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