Question

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.​

Answer 1

Answer:

1400

Step-by-step explanation:

I have tagged an attachment

Answer 2

The sum is Rs.1400

Step-by-step explanation:

Let the principal be x

Case 1:

Time = 5 years

Rate of interest = 10%

Formula :$SI = \frac{P \times T \times R}{100}$

$SI=\frac{x \times 5 \times 10}{100}$

Case 2 :

Time = 4 years

Rate of interest = 16%

$SI = \frac{x \times 4 \times 16}{100}$

We are given that 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.

$\frac{x \times 4 \times 16}{100}-\frac{x \times 5 \times 10}{100}=196\\\frac{x}{100} (4 \times 16 - 5 \times 10)=196\\x=1400$

Hence the sum is Rs.1400

#Learn more:

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/5313661