Question

deshaun investment his saving in two investment funds .The amount he invested in fund A was 3 times as much as the amount he invested in Fund B .Fund A returned a 7 % profit and Fund B returned a 4% profit . How much did he invest in Fund B , if the total profit from the two funds together was 2000rs​

Answer 1

Given:

Fund A = 7% profit

Fund B = 4% profit

Amount in Fund A is 3 times as much as Fund B

total profit of the two funds is Rs 2000

To Find:

Amount invested in Fund B

Define x:

Let the amount invested in Fund B = x

Amount invested in Fund A = 3x

Find the amount of profit made from Fund A in term of x:

$\text{Profit } = P( 1 + \dfrac{r}{100} )^n - P$

$\text{Profit } = 3x( 1 + \dfrac{7}{100} )^1 - 3x$

$\text{Profit } = 3x( 1.07) - 3x$

$\text{Profit } = 3.21x - 3x$

$\text{Profit } = 0.21x$

Find the amount of profit made from Fund B in term of x:

$\text{Profit } = P( 1 + \dfrac{r}{100} )^n - P$

$\text{Profit } = x( 1 + \dfrac{4}{100} )^1 - x$

$\text{Profit } = x( 1.04) - x$

$\text{Profit } = 1.04x - x$

$\text{Profit } = 0.04x$

Given that the total profit is Rs 2000

$0.21x + 0.04x = \text{ Rs }2000$

$0.25x = \text{ Rs }2000$

$x = \text{Rs }8000$

Find the amount invested in Fund B:

$\text{Fund B } = x$

$\text{Fund B } = \text{Rs }8000$

Answer: Rs 8000 was invested in fund B.