Question

Ritesh had a sum of 34350. He invested a part of it for 2 years at simple interest at the rate of 8% p.a. and the rest for 4 years at simple interest at 8.5% p.a. If he earned total interest of 9204, find the sum he invested at each rate.

I will mark the most explained and detailed answer as brainliest

20 marks for solving
Class 7
Simple Interest

Answer 1

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Here is your answer.
Let the Sum is x
invested in 2 years and 8% p.a
and
in II CASE
Sum = 34350 - x
invested in 4 years ,8.5%
Now. I Case

As we know the formula
SI = PRT/100
$= \frac{x \times 8 \times 2}{100} \\ \\ = \frac{4x}{25}$
Now II case

SI = PRT/100
$= (34350 - x) \times \frac{4 \times 8.5}{100} \\ \\ = (34350 - x) \times \frac{8.5}{25}$
ATQ
TOTAL INTEREST IS 9204
$\frac{4x}{25} + (34350 - x) \times \frac{8.5}{25} = 9204 \\ \\ 4x + 34350 \times 8.5 - 8.5x = 9204 \times 25 \\ \\ - 4.5x + 291975 = 230100 \\ \\ - 4.5x = 230100 - 291975 \\ \\ - 4.5x = - 61875 \\ \\ x = \frac{ - 61875}{ - 4.5} \\ \\ x = 13750$
So Other part is
= 34350 - 13750
= 20600

Therefore he invested is 13750 and 20600

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Answer 2

Here is your answer

Let Sum is x and other is 34350-x

ATQ
$\frac{x \times 8 \times 2}{100} + (34350 - x) \times \frac{8.5 \times 4}{100} = 9204 \\ \frac{4x}{25} + (34350 - x) \times \frac{8.5}{25} = 9204 \\ on \: solving \\ x = 13750 \\ \\ other \: is \\ 34350 - 13750 \\ = 20600$
So he Invested
Rs 13750 and 20600

Thanks