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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
6.
Column minima method
on 24.12.18
7.
Russell's approximation method
on 24.12.18
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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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