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A certain sum of money was invested at simple rate of interest for three years. If the sum has been invested at a rate that was seven percent higher, the interest amount would have been rs 882 more. The amount of sum invested is?
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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.
Community Answer
A certain sum of money was invested at simple rate of interest for thr...
882=P×3×7/100
P=4200
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A certain sum of money was invested at simple rate of interest for three years. If the sum has been invested at a rate that was seven percent higher, the interest amount would have been rs 882 more. The amount of sum invested is?
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