Math Problem Statement

Find the simple interest and the amount when: Principal = Rs 6400, rate = 6% p.a. and time = 2 years.

Solution

The image you've uploaded contains questions on Simple Interest (S.I.) and Compound Interest (C.I.), with a focus on practical problems. Here are the questions listed:

  1. Simple Interest and Amount Calculation:

    • Principal = Rs 6400, Rate = 6% p.a., Time = 2 years. Find the simple interest and the amount.
  2. Growth of Volunteers:

    • Ten thousand volunteers are registered with a charitable trust. The number of volunteers increases at the rate of 4% every six months. Find the time period at the end of which the total number of volunteers becomes 10,816.
  3. Compound Interest Calculation:

    • Find the amount of Rs 2400 after 3 years when the interest is compounded annually at 20% per annum.
  4. Difference Between Compound Interest and Simple Interest:

    • Find the difference between the compound interest and simple interest on Rs 50,000 at 10% per annum for 2 years.
  5. Comparison of Interest Rates:

    • What sum of money lent at 2% per annum under S.I. will yield the same interest in 3 years as Rs 3600 yields in 7 years at the rate of 3% per annum S.I.?
  6. Depreciation of TV Value:

    • A TV was bought for Rs 21,000. The value of the TV was depreciated by 5% per annum. Find the value of the TV after 3 years.
  7. Fill in the Blanks:

    • (i) The money borrowed (lent or invested) is called ___________.
    • (ii) The additional money paid by the borrower to the moneylender in lieu of the money used is called ___________.
    • (iii) In simple interest, the principal ___________ for the whole loan period.
    • (iv) In compound interest, the ___________ goes on changing every conversion period.
    • (v) If the interest is compounded semi-annually, then the semi-annual rate is ___________ of the annual rate.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Compound Interest
Percentage Increase
Depreciation
Growth Problems

Formulas

Simple Interest (SI) = (P * R * T) / 100
Compound Interest (CI) = P * (1 + R/100)^T - P

Theorems

Formula for simple interest and compound interest
Depreciation model
Exponential growth model

Suitable Grade Level

Grades 7-9