Question

the simple interest on a certain sum for 2.5 years at 12% per annum is rupees 300 less than the simple interest on the same sum for 4.5 years at 8% per annum find the sum​

Answer 1

The simple interest on a certain sum for 2.5 years at 12% per annum is rupees 300 less than the simple interest on the same sum for 4.5 years at 8% per annum. The sum is Rs 5000

Solution:

The simple interest is given as:

$S.I = \frac{p \times n \times r}{100}$

Where,

p is the sum

n is the number of years

r is the rate of interest

Given that,

Simple interest on a certain sum for 2.5 years at 12% per annum is rupees 300 less than the simple interest on the same sum for 4.5 years at 8% per annum

Therefore,

S.I at 4.5 years at 8% per annum - S.I at 2.5 years for 12 % per annum = 300

Let the sum be "p"

$\frac{p \times 4.5 \times 8}{100} - \frac{p \times 2.5 \times 12}{100} = 300\\\\0.36p - 0.3p = 300\\\\0.06p = 300\\\\p = 5000$

Thus the sum is Rs 5000

Learn more about this topic

The simple interest on a certain sum for 3 years at 10% per annum is 829.50.find the sum

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The simple interest on a certain sum of money for 5 years at 10% per annum is Rs 196 less than the simple interest on the same sum for 4 years at 16% per annum. Find the sum.​

https://brainly.in/question/12057580                                                                                                                                                  

Answer 2

Answer:

hope My Answer is Correct