Question

Bhagwanti 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 at each rate ?

Answer 1

Total investment = Rs. 12000.00 Rate of interest for first part = 10% and for second part = 12%

Annual income = Rs 1280.00

Let the investment for the first part = Rs. x and second part = Rs. (12000 - x)

According to the condition :

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

$\Rightarrow \frac{10x}{100}+\frac{144000-12x}{100}=1280$

$\Rightarrow \frac{10x+144000-12x}{100}=1280$

$\Rightarrow 144000-2x=128000$

$\Rightarrow 144000-128000=2x$

$\Rightarrow 2x=16000\Rightarrow x=\frac{16000}{2}=8000$

$\therefore x=8000$

$\therefore$ Amount invested on 10% = Rs.8000 and amount invested on 12% = Rs. 12000. 8000 = Rs. 4000