Question

If simple interest on a certain sum of money for 4 years at 5% per annum is same as the simple interest on rs. 560 for 10 years at the rate of 4% per annum then the sum of money is:

Answer 1

Answer:

2488.888

Step-by-step explanation:

let the sum of money be x

so according to question

x*4*5/100=560*10*4/100

(100 cut by another hundred)

=x*4*5=560*10*4

=9x=22400

=x=22400/9

=x=2488.888

Answer 2

The sum of money is Rs. 11.2.

Step-by-step explanation:

Let principal be P

Rate of interest = 5%

Time = 4 years

Since we have given that simple interest on a certain sum of money for 4 years at 5% per annum is same as the simple interest on rs. 560 for 10 years at the rate of 4% per annum

So, it becomes,

$\dfrac{P\times 5\times 4}{100}=\dfrac{560\times 10\times 4}{100}\\\\20P=224\\\\P=\dfrac{224}{20}\\\\P=11.2$

Hence, the sum of money is Rs. 11.2.

# learn more:

The interest paid on a certain sum after 4 years at 7% rate of interest per annum 560 rupees find the sum

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