Question

0. A certain sum of money when invested in a scheme amounts to rs. 5600 in 5 years and to rs. 6560 in 8 years. The scheme offers simple interest per annum. What was the sum invested in the scheme ?

Answer 1

Sum invested in the scheme is Rs. 4000.

Step-by-step explanation:

Since we have given that

Amount in 5 years = Rs. 5600

Amount in 8 years = Rs. 6560

So, It becomes,

6560 -------------------------  8 years

5600 -------------------------  5 years

-------------------------------------------------

960--------------------------- 3 years

So, in 1 year, it will become,

$\dfrac{960}{3}=Rs.\ 320$

So, in 5 years, it will become,

$320\times 5\\\\=Rs.\ 1600$

So, Amount = Principal + Interest

$5600=Principal+1600\\\\5600-1600=Principal\\\\4000=Principal$

Hence, Sum invested in the scheme is Rs. 4000.

# learn more:

Mr. gupta invested rs 13900 dividing into 2 different schemes - scheme a and scheme b at simple interest rate of 14% per annum and 11 % per annum respectively . if the total amount of simple interest earned in 2 years is rs 3508 what was the amount invested in scheme b

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