The simple interest on a certain sum of money for 3 years is 225 and the compound interest on the same sum at the same rate for 2 years is 153 then the principal invested is
1. 1500
2. 2250
3. 3000
4. 1875
Answers
Given data :
The simple interest on a certain sum of money for 3 years is 225.
The compound interest on the same sum at the same rate for 2 years is 153
To find :
The principal invested = ?
Calculation :
As the Simple Interest on some principal amount is 3 years is 225,
Simplest Interest for the same money in one year = 225/3 = Rs. 75
Given, the Compound interest for the same sum at two years rate is 153.
As we know that CI=SI for first year, the difference will be how much CI is more than SI on the second year.
Simple Interest for two years = 75 x 2 = 150
The difference = 153 - 150 = Rs. 3
So, In second year, CI is 3 rupees more than SI, due to the interest on Rs 75 interest for first year.
Then, the Rate of Interest per annum
= ( Difference in Interest / Simple Interest ) x 100
= (3 / 75) x 100
= 4% per annum
So, 4% of Principal amount = 75 rupees
Principal amount = 75 / 4%
= (75 x 100) / 4
= 75 x 25
= 1875 Rupees.
Therefore, the Principal amount invested is Rs. 1875.
Learn more :
1) 625 principal 4% rate 2year. calculate the amount and the compound interest
https://brainly.in/question/6341907
2) Write a program to input principal rate and time and calculate simple interest
https://brainly.in/question/6172559
Answer:
I hope it will help you thank you very much for this question
