## Math Problem Statement

when the rate of interest of Compound interest is 3/2 times of the rate of interst of Simple interest, the difference between Compound interest and Simple interest on a certain sum for 2 years is Rs 4900.When the rate of interest for Compound interest is equal to the rate of interest of Simple interest the difference between Compound interest and Simple interest on a certain sum for 2 years is Rs 400. Find the principal .

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Compound Interest

Simple Interest

Algebra

### Formulas

Simple Interest (SI) = (P × r × t) / 100

Compound Interest (CI) = P × (1 + r/100)^t - P

Difference between CI and SI

### Theorems

Interest formulas for Simple and Compound Interest

### Suitable Grade Level

Grades 10-12

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