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1.
Matrix Algebra
on 17.03.19
1.
with variables
`[[2x,3y],[3x,4z]]`
2.
with complex numbers
`[[-5i,3i],[4i,5i]]`
3.
with surds
`[[1/sqrt(2),sqrt(2)],[4,-5]]`
2. PERT and CPM
1.
Network diagram
on 10.03.19
2.
Critical path, Total float, Free float, Independent float
on 10.03.19
3.
Project scheduling with uncertain activity times (Optimistic, Most likely, Pessimistic)
on 10.03.19
4.
Project crashing to solve Time-Cost Trade-Off with fixed Indirect cost
on 10.03.19
5.
Project crashing to solve Time-Cost Trade-Off with varying Indirect cost
on 10.03.19
2. Transportation Problem
3.
Heuristic method-1
on 07.01.19
4.
Heuristic method-2
on 07.01.19
5.
Row minima method
on 24.12.18
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Column minima method
on 24.12.18
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Russell's approximation method
on 24.12.18
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Method and examples
Compound Interest
1. Calculate Compound Interest and amount on Rs 4500 at 10 % per annum in 3 years.
2. Calculate Compound Interest and amount on Rs 625 for 2 years at 9 %, compounded half-yearly.
3. Calculate Compound Interest on Rs 8000 for 9 months at 20 % per annum, compounded quartely .
4. What sum of money becomes Rs 9261 in 3 years at 5 % per annum, compounded annually ?
5. What will Rs 25000 amounts to in two years at Compound Interest if the rates for successive years be 4 % and 5 % per year.
6. A sum of money amounts to Rs 6690 after 3 years and to Rs 10035 after 6 years on compound interest. Calculate the sum of mone ...
7. A man borrows Rs 2500 at 5 % simple interest for 2 years. He immediately lends this money at compound interest at the same ra ...
8. The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs 52 ...
9. If the compound interest on a certain sum for 3 years at 10 % per annum be Rs 331 , what would be the simple interest ?
10. A sum of money 2 times itself at compound interest in 15 years. In how many years, it will become 8 times of itself ?
Problem 6 of 10
6. A sum of money amounts to Rs
after
years and to Rs
after
years on compound interest. Calculate the sum of money.
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Compound Interest
6. A sum of money amounts to Rs 6690 after 3 years and to Rs 10035 after 6 years on compound interest. Calculate the sum of money.
For `N = 3, A = "Rs" 6690`
`A = P (1 + R/100)^N`
`P (1 + R/100) ^ 3 = 6690 ->(1)`
For `N = 6, A = "Rs" 10035`
`A = P (1 + R/100)^N`
`P (1 + R/100) ^ 6 = 10035 ->(1)`
On dividing `(2)` by `(1)`, we get
`(1 + R/100) ^ 3 = 10035 / 6690 = 3 / 2`
putting this value in `(1)`, we get
`=> P = 4460`
The sum of money is Rs `4460` .
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