Basmati Tk. 60 per kg. an ordinary Tk. 20 per kg.
Let, the price of 1 kg Basmati rice = x
The price of 1 kg ordinary rice = X x $\frac{1}{3}$=$\frac{x}{3}$
The price of 1 kg Basmati rice = Tk. x
The price of 600 kg Basmati rice =Tk. 600x
Again, the price of 1 kg ordinary rice = Tk.$\frac{x}{3}$
The price’ of 450 kg ordinary rice = Tk. ($\frac{1}{3}$ x 450)
= Tk. 150x
According to the question,
=> 600x + 150x = 45000
=> 750x = 45000
So, x= 60
So the price of Basmati rice is T k. x = Tk 60 per kg
The price of ordinary rice = Tk. $\frac{x}{3}$= Tk. $\frac{60}{3}$
= Tk. 20 per kg
Basmati Tk. 60 per kg. an ordinary Tk. 20 per kg.
16$\frac{2}{3}$ %
At 25% profit
If cost price is Tk 100, then selling price would be 125 Tk.
1f selling price is 125 tk. then cost price would be = 100 Tk.
1f selling price is 4000 tk. then cost price would be = $\frac{100×4000}{125}$
= 3,200 Tk.
Total cost price of two commodities = 4,000 + 4,000 = 8,000 Tk.
Then the cost price of another commodity = 8,000 – 3,200 = 4,800 Tk.
But the sold another commodity at 4,000 Tk.
So he loses = 4,800 — 4,000 = 800 Tk.
Loss%=$\frac{800}{4800}$x 100 =16 $\frac{2}{3}$ %.
12 %
Total money = Tk. 2540
Let, x amount money lent out at 12%
(2540 — x) amount lent out at 12.5%
At 12%
Tk. 100 makes income = Tk. l2
Tk. x makes Income = Tk. $\frac{12x}{100}$
= $\frac{3x}{25}$
At 12.5%,
Tk. 100 makes income = Tk. 12.5
Tk. (2540 —x) makes Income = $\frac{12.5 x (2540-x)}{100}$
= $\frac{2540-x}{8}$
According to the question,
$\frac{3x}{25}$ + $\frac{2540-x}{8}$ = 311.60
=> 24x + 63500 — 25x = 62320
=> – x = 62320 – 63500
x = 1180
Tk. 1180 has been lent at 12%.
$\frac{7}{4}$
Let, total students = x
Given % as many females as males in the class
Let, Male students = 4x
And female students = 3x
Total students = (4x + 3x) = 7x
Male students speak English = 4x + 2 = 2.:
Female students speak English = 3x of $\frac{2}{3}$ = 2x
Total speaks English in class = (2x + 2x) = 4x
So, Fraction = $\frac{4x}{7x}$ = $\frac{7}{4}$
Rahim has more income Tk. 38,400 than Kalam Tk. 36,000.
At 15% of annual income, Kalam saves Tk 15 when annual income = Tk. 100
Kalam saves Tk. 5400 when annual income = Tk. $\frac{100×5400}{15}$
= Tk. 36000 (per year)
Rahim spends Tk. 2800 per month
Rahim spends Tk. 87.5 when monthly income = Tk. 100
Rahim spends Tk. 2800 when monthly income = Tk. $\frac{100×2800}{87.5}$
= Tk. 3200
Rahim’s per month income = 3200
Rahim’s per year income = 3200 x 12 = Tk. 38400
