ans: The amount of sum is Tk. 800 & the interest is 13%.
In 3$\frac{1}{2}$ years, the amount will be = 1,164 Tk.
1n 2 years, the amount will be = 1,008 Tk.
In 1$\frac{1}{2}$ years, the amount will be = 156 Tk.
In 1 year the amount will be = $\frac{156}{\frac{3}{2}}$ Tk.
In 2 years, the amount will be = $\frac{156×2}{\frac{3}{2}}$ = 208 TK
The principal is = 1,008 – 208 = 800 Tk.
The interest of Tk. 800 in 2 years is = 208 Tk.
The interest of Tk. 1 in 1 year is = $\frac{208}{800\times 2}$ TK
The interest of Tk. 100 in 1 year is = $\frac{208\times 100}{800\times 2}$ = 13 TK
The dimensions of the room is Length= 9m, Breadth= 6m, height= 6m
Let the dimension of the room
Breadth =x meter, Length = x+ $\frac{x}{2}$ meter and Height = h meter
The carpet area = Area of the floor = Length x Breadth = x x $\frac{3x}{2}$
Rate for carpeting = Tk. 5 per sq.m
Thus, total carpeting area of the room= ( $\frac{\text{total cost of carpeting}}{rate}$)= $\frac{270}{5}$ sq m = 54 sq m
Now, the area of the room,
=> x x $\frac{3x}{2}$ = $\frac{3x^{2}}{2}$ =54
=> x = 6
So, Length = $\frac{3}{2}$x6 = 9 m
Similarly, papered am will be = $\frac{\text{total expense}}{cost}$ =$\frac{1720}{10}$ = 172
Given, Area of one door and 2 windows = 8 sq m
Total area of 4 walls = Papered Area + Doors and Windows
=172+8=1805qm.
Now, Total area of 4 walls = 180m
2 (length + breadth) x Height = 180m
=>2(9 +6) x h= 180m
h = 6m
Ratio ofshares ofA, B, C, D= (24 x 3) : (10 x 5) : (35 x 4) : (21 x 3) = 72:50: 140163.
The sum oftheir ratio=72+50+140+63 =325 Tk.
Agrazed=24$\times$3 =72
Bgrazed=10$\times$5=50
C grazed= 35$\times$4 = 140
D grazed= 21$\times$3 = 63
Total number of cows is = 72 + 50 + 140 + 63 = 325
A’s share of rent for ‘72 cows is = 720 Tk.
A’s share rent for 1 cow is = $\frac{720}{72}$ Tk.
Total share of rent for 325 cows is = $\frac{720$\times$}{72}$ = 3250Tk.
