Math Problem Statement
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:
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Simple Interest and Amount Calculation:
- Principal = Rs 6400, Rate = 6% p.a., Time = 2 years. Find the simple interest and the amount.
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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.
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Compound Interest Calculation:
- Find the amount of Rs 2400 after 3 years when the interest is compounded annually at 20% per annum.
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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.
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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.?
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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.
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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
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