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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
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Russell's approximation method
on 24.12.18
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Method and examples
Profit Loss Discount
1. Find selling price when cost price = Rs 50 , Loss/Gain = 10 % .
2. Find cost price when selling price = 55 , Loss/Gain = 10 %
3. Find Loss/Gain % when cost price = 50 and selling price = 55 .
4. By selling an article for Rs 110 a man loses 12 %. For how much should he sell it to gain 8 %.
5. A man sells two houses for Rs 536850 each. On one he gains and on the other he loses 5 %. Find his gain or loss % on the whol ...
6. If selling price of 10 articles is the same as the cost price of 12 articles, find the gain %.
7. By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. Find the gain percent.
8. A dishonest dealer professes to sell his goods at cost price but uses a weight of 960 grams for 1000 grams. Find the gain per ...
9. If the marked price of an article is Rs 380 and a discount of 5 % is given on it, what is the selling price ?
10. If 12 % is allowed as discount on a radio and its selling price is Rs 836 , what is its marked price ?
11. A cycle dealer marks his goods 25 % above his cost price and allows a discount of 8 % on it. Find his gain percent.
12. Successive discounts of 20 % and 10 % equivalent to a single discount of how many percent?
13. If a commission of 10 % is given on the list price, the gain is 20 %. Find the gain percent, if the commission is increased t ...
14. If the manufacturer gives 20 % commission to the dealer on the printed price and if the dealer sells the item at the printed ...
15. A dealer gets 25 % commission on the printed price of an item. If he gives 10 % discount to the customer on printed price, fi ...
16. The printed price of a saree is Rs 900 . A cloth-mearchant purchases it at 15 % commission. He spends Rs 35 for roll-polish a ...
17. A carpenter made a table which cost him Rs 1500 . He decided the price so that he would get 20 % profit. He gave 8 % commissi ...
18. The printed price of a book is Rs 720 . After giving 10 % discount to the customer on the printed price, the book-seller gets ...
19. If 20 % discount is given on the decided price which is decided by addition of 20 % profit on the purchase price, then will t ...
20. A watch manufacturing company decided the price with 25 % profit on the cost price. By selling a watch with 8 % discount on t ...
21. If the sales price of 12 pens is fixed as the original price of 15 pens, then what percentage of profit is earned in the deal ...
Problem 17 of 21
17. A carpenter made a table which cost him Rs
. He decided the price so that he would get
% profit. He gave
% commission on the decided price while selling. Find the sales price of the table and the profit of the carpenter.
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Profit Loss Discount
17. A carpenter made a table which cost him Rs 1500 . He decided the price so that he would get 20 % profit. He gave 8 % commission on the decided price while selling. Find the sales price of the table and the profit of the carpenter.
A carpenter decided the price so that he would get `20` % profit
Decided Price = C.P. + Profit `= 100 + 20 = 120` .
C.P.
Decided Price
100
120
1500
?
Decided price = `120 × 1500/100 = 1800`
`:.` Decided price = `1800`
He gave `8` % commission on the decided price
S.P. = Decided price - commission `= 100 - 8 = 92`
Decided Price
S.P.
100
92
1800
?
S.P. = `92 × 1800/100 = 1656`
`:.` the sales price is Rs `1656`
Profit `= "S.P." - "C.P." = 1656 - 1500 = 156`
`:.` Profit is Rs `156`
C.P
Profit
1500
156
100
?
Profit = `156 × 100/1500 = 10.4`
`:.` the sales price of the table is Rs `1656` and the profit of carpenter is `10.4` %
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