B alone can do the work in 3$\frac{1}{3}$ hours.
Machine A takes 5 hours to produce = 1 lot
Machine A takes 1 hour to produce = $\frac{1}{5}$ lot
And machine B takes . x hours to produce = 1 lot
Machine B takes 1 hour to produce = $\frac{1}{x}$ lot
Together they take 1 hour to produce = $\frac{1}{5}$+ $\frac{1}{x}$ $\frac{x-5}{5x}$ Portion of lot
Again, they take 2 hours to complete 1 job
They take 1 hour to complete $\frac{1}{2}$ job
We can write, $\frac{x+5}{5x}$ = $\frac{1}{2}$
=> 5x=2x+10
=> 3x = 10
=> x = $\frac{10}{3}$
x = 3$\frac{1}{3}$
In 2004, the amount of revenue was 3,12,500 Tk.
In 2005
At 20% decrease of sale of pair of shoes, present number of sale = 100 – 20 = 80
The revenue from selling of the company will be Tk. = 80 x 100 = 8,000 Tk.
But the actual revenue would be Tk. = 100 x 100 = 10,000
If present revenue is Tk. 8,000 then actual revenue is = 10,000 Tk.
If present revenue is Tk. 1 then actual revenue is = $\frac{10000}{8000}$Tk.
If present revenue is Tk. 300,000 then actual revenue is = $\frac{10000×300000}{8000}$= 375,000 TK
Now, in 2004
At 20% increase, the price of each pair of shoes be = 100 + 20 = 120 Tk.
The revenue from selling of the company will be = (120 x 100) Tk. = 12000 Tk.
lf Tk. 12000 is present sale, then previous sale was = 10000 Tk.
If Tk. 1 is present sale, then previous sale was = $\frac{10000}{12000}$
If ‘Tk. 375,000 is present sale, then previous sale was = $\frac{10000×375000}{12000}$ = 3,12,500 TK
The amount of interest in 3 years is 300 Tk.
Sum of money is = (500 x 4) Tk. + (600 x 5) Tk.
= 2,000 Tk. + 3,000 Tk.
= 5,000 Tk.
Interest of Tk. 5,000 is Tk. 500
Interest of Tk. 100 is Tk. = $\frac{500\times 100}{5000}$= 10%
We know, interest = $\frac{Rate\times Capital\times Time}{100}$
= $\frac{10\times1000\times3}{100}$ = 300 TK.
They will get the profit Tk.13,800, Tk. 9,600 & Tk. 12,600 respectively.
Total amount of Sumon after one year = 5,000 x 3 +(5,000 + 1,000) 9
= 15,000 + 54,000
= 69,000
Total amount of Jamal after one year = 4,000 x 12 = 48,000
Total amount of Dilip after one year = 7,000 x 9 = 63,000
Amount of ratio of the investment = 69,000 : 48,000 : 63,000
= 69 : 48 : 63
= 23 : 16 : 21
Sum ofratio = 23 +16 + 21 = 60
Profit of Sumon = 36,000 x $\frac{23}{60}$ = 13,800 TK.
Profit of Jamal = 36,000 x $\frac{16}{60}$ = 9,600 TK.
Profit of Dilip = 36,000 x $\frac{21}{60}$ = 12,600 TK.
