Question

${ \huge{ \underbrace{ \sf{ \purple{ question}}}}}$
Bhagwanti inherited rupees 12000.00. She invested part of it as 10% and the rest at 12%. Her annual income from this investment is rupees 1280.00 how much did she invest at each rate ?
◕ question of math
◕ want perfect answer
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Answer 1

$\tt\red{Total\; money = 12000Rs.}$

$\tt\red{First\; investment = x Rs.}$

$\tt\red{Second \;investment = (12000−x)Rs.}</p><p>[tex]\tt\red{First \;income = }[tex]\tt\red{ \frac{10}{100} \times x = \frac{x}{10} }$

$\tt\red{Second \;income =}$ $\tt\red{\frac{12}{100}(12000-x)}$

$\tt\red{So, \frac{10x}{100} + \frac{12}{100}(12000 - x ) = 1280}$

$\tt\red{⇒10x+144000−12x=128000}$

$\tt\red{⇒144000−128000=2x }$

$\tt\red{⇒x = \frac{16000}{2} = 8000}$

$\tt\red{⇒12000−x=4000}$ $\small\bf\green{Investments \: are  \: 8000 and \:  4000 \:  Rs.}$