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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
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Russell's approximation method
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Installment
1. A briefcase is available for Rs 800 cash or for Rs 500 cash down payment and Rs 320 to be paid after 6 months. Find the rate ...
2. A bicycle is sold for Rs 1800 cash or for Rs 600 cash down payment followed by 2 monthly installmnets of Rs 610 each. Compute ...
3. A washing machine is available at Rs 6400 cash or for Rs 1400 cash down payment and 5 monthly installments of Rs 1030 each. C ...
4. A computer is sold by a company for Rs 19200 cash or for Rs 4800 cash down payment together with 5 equal monthly installments ...
5. A State Government announces sale of flats of Rs 555000 cash or Rs 42750 cash down payment and 3 equal Yearly installments. T ...
6. A TV set is available for Rs 19650 cash payment or for Rs 3100 cash down payment and 3 equal Yearly installments. If the shop ...
7. A man borrows money from a finance company and has to pay it back in 2 equal Half Yearly installments of Rs 4945 each. If the ...
8. Ram borrowed a sum of money and returned it in 3 equal Quarterly installments of Rs 17576 each. Find the sum borrowed, if the ...
Problem 2 of 8
2. A bicycle is sold for Rs
cash or for Rs
cash down payment followed by
monthly installmnets of Rs
each. Compute the rate of the interest charged under the installment scheme.
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Installment
2. A bicycle is sold for Rs 1800 cash or for Rs 600 cash down payment followed by 2 monthly installmnets of Rs 610 each. Compute the rate of the interest charged under the installment scheme.
Cash Price = `1800`
Down Payemnt = `600`
Number of Installment = `2`
Installment Amount = `610`
Remaining Balance = `1800 - 600 = 1200`
After `2` months Amount = `1200 + 1200 × 2 / 12 × R / 100 = 1200 + (2400 × R) / 1200 `
` = 1200 + 2 × R ->(1)`
`1^(st)` Installment = `610 + (610 × R × 1) / (12 × 100)`
Total Installment `= 610 × 2 + (610 × R × (1)) / (12 × 100)`
` = 1220 + (610 × R × (1)) / 1200`
` = 1220 + 61/120 × R ->(2)`
From (1) and (2)
`1200 + 2 × R = 1220 + 61/120 × R`
`2 × R - 61/120 × R = 1220 - 1200`
`179/120 × R = 20`
`R = 2400/179`
`:. R = 2400/179`
OR METHOD
Cash Price = `1800`
Down Payemnt = `600`
Number of Installment = `2`
Installment Amount = `610`
Remaining Balance = `1800 - 600 = 1200`
Total Installment = `610 × 2 = 1220`
Interest = `1220 - 1200 = 20 ->(1)`
Principal for `1^(st)` month = `1200`
Principal for `2^(nd)` month = `590`
Total = `1790`
`:.` Installment = `(1790 × R × 1) / (100 × 12) ->(2)`
From (1) and (2)
`(1790 × R × 1) / (100 × 12) = 20`
`R = (20 × 100 × 12) / 1790`
`R = 2400/179`
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