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Partial Fractions
on 19.04.19
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Find roots of non-linear equations using Multivariate Newton Raphson method
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Solve linear equations using Elimination method
on 19.04.19
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Maximize Profit case in transportation problem
on 07.04.19
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Revised Simplex method
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Moore-Penrose Pseudoinverse
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Geometric mean, Harmonic mean for ungrouped data
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Geometric mean, Harmonic mean for grouped data
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LQ Decomposition
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Muller method
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11.
Matrix Algebra
on 17.03.19
1.
with variables
`[[2x,3y],[3x,4z]]`
2.
with complex numbers
`[[-5i,3i],[4i,5i]]`
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with surds
`[[1/sqrt(2),sqrt(2)],[4,-5]]`
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Network diagram
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Critical path, Total float, Free float, Independent float
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Project scheduling with uncertain activity times (Optimistic, Most likely, Pessimistic)
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Project crashing to solve Time-Cost Trade-Off with fixed Indirect cost
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Project crashing to solve Time-Cost Trade-Off with varying Indirect cost
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Method and examples
Simple Interest
1. Find the simple interest on Rs 730 for 184 days at 25/4 % per annum.
2. Find the simple interest on Rs 4660 for 5 years at 7/2 % per annum.
3. The interest on a certain amount of money at 8 % per year for a period of 4 years is Rs 512 . Find the sum of money.
4. Simple Interest on Rs 972 at 14 % per annum for a certain time is Rs 476.28 . Find the time ?
5. Simple Interest on Rs 972 at a certain rate % per annum for 3.5 years is Rs 476.28 . Find the rate ?
6. A sum of money lent at simple interest amounts to Rs 1008 in 2 years and to 1112 in 3 years.Find the sum and the rate of inte ...
7. What sum of money lent out at simple interest at 9 % p.a. for 3/2 years will produce the same interest as Rs 2250 lent at 6 % ...
8. A man puts out Rs 500 for 4 years on simple interest and Rs 600 for 3 years. The total interest he receives is Rs 190 . What ...
9. A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3 % higher rate, it whould have fetched Rs ...
10. Divide Rs 16875 into two parts such that the interest at 7/2 % p.a. for 2 years on one part is equal to the other at 4 % p.a. ...
11. A shopkeeper borrowed Rs 20000 from two money lendeRs For one loan he paid 12 % and for the other 14 % per annum. After 1 yea ...
12. At what rate percent per annum will sum of money double in 8 years?
13. Rajeev deposited money in the post office which is doubled in 20 years at a simple rate of interest. In how many years will t ...
Problem 11 of 13
11. A shopkeeper borrowed Rs
from two money lendeRs For one loan he paid
% and for the other
% per annum. After
year, he paid Rs
as interest. How much did he borrow at each rate ?
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Simple Interest
11. A shopkeeper borrowed Rs 20000 from two money lendeRs For one loan he paid 12 % and for the other 14 % per annum. After 1 year, he paid Rs 2560 as interest. How much did he borrow at each rate ?
Let money at `12 % = X` and that at `14 % = ( 20000 - X )`
After one year total interest = `2560`
`(X * 12 * 1) / 100 + ((20000 - X) * 14 * 1) / 100 = 2560`
`12 X + 14 * 20000 - 14 X = 2560 * 100`
`-2 X = -24000`
`X = 12000`
`:.`Money at `12` % = Rs `12000` and Money at `14` % = Rs `8000` .
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