A certain sum of money was invested at simple rate of interest for thr...
Problem: Find the amount of sum invested if it was invested at a simple rate of interest for three years. If the sum had been invested at a rate that was seven percent higher, the interest amount would have been rs 882 more.
Solution:Let the original rate of interest be x percent and the sum of money invested be y.
Calculation of Interest Amount
The interest amount on y at x percent for three years is given by:
Interest amount = (y * x * 3) / 100
Calculation of New Interest Amount
If the sum of money had been invested at a rate that was seven percent higher, the new rate of interest would be (x + 7) percent.
The interest amount on y at (x + 7) percent for three years is given by:
New interest amount = (y * (x + 7) * 3) / 100
Calculation of Difference in Interest Amounts
The difference in interest amounts is given by:
New interest amount - Interest amount = 882
Substituting the values of Interest amount and New interest amount, we get:
(y * (x + 7) * 3) / 100 - (y * x * 3) / 100 = 882
Simplifying the above equation, we get:
(y * 21) / 100 = 882
y = (882 * 100) / 21
y = 4200
Answer:
The amount of sum invested is rs 4200.