Question

The simple interest on a certain sum for 2.5 years at 12 % per annum is RS 40 less than the simple interest on the same sum for 3.5 years at 10% per annum . Find the sum

Answer 1

The required sum is Rs. 800.

Step-by-step explanation:

Since we have given that

Let P be the sum.

r= 12% p.a.

t = 2.5 yrs

And if t = 3.5 yrs

r = 10%

There will be Rs. 40 less than the latter,

According to question, we get that

$\dfrac{3.5\times 10\times P}{100}-\dfrac{2.5\times 12\times P}{100}=40\\\\\dfrac{35P}{100}-\dfrac{30P}{100}=40\\\\\dfrac{5P}{100}=40\\\\P=\dfrac{40\times 100}{5}\\\\P=800$

Hence, the required sum is Rs. 800.

# learn more:

The simple interest on a certain sum of money for 2.5 years at 12%per annum is rs.40 less than the simple interest on the same sum for 3.5 years at 10% per annum.find the sum​

https://brainly.in/question/15220109

Answer 2

Answer:

5000

Step-by-step explanation: