Mr. X get profit 20 Taka, Mr. Y get profits 1 1_ Taka & Mr. Z get profits 25 Taka.
Let, Z invests = P Taka
Y invests = (P – 70) Taka
X invests = (P — 70 + 45) Taka
Mr. X, Y and Z invest
=(P+P—70+P—70+45)
= (3P -140 + 45)
= (3P — 95) Taka
According to question,
3P — 95 = 280
3P = 280 + 95
3p = 375
P = 125
Mr. 2 invests = 125 Taka
Mr. Y invests = (P — 70) Taka
= 125 – 70 Taka
= 55 Taka
Mr. X invests = P – 70 + 45 Taka
= 100 Taka
The investment ratio of Mr. X, Y and Z = 100 : 55 :125
= 20 : 11 : 25
Total of their investment = 20 + 11 + 25 = 56
Mr. X get profit = 56 x $\frac{20}{56}$
= 20 Taka
Mr.‘Y get profits = 56 x $\frac{11}{56}$
= 11 Taka
Mr. Z get profits = 56 X $\frac{25}{56}$
= 25 Taka.
2 men
Total Non-student = 32- 24 = 8
Non-student women = 12 – 6 = 6
So, Non-student Men = 8-6 = 2
The bigger number is 6
Let, the bigger number is x and the smaller one is y.
According to question
5x = 4y + 22
=> 5x — 4y = 22…….. (i)
and 3x + 7y = 32………… (ii)
Multiplying the equation (i) and (ii) by 7 and 4 respectively and then adding (i) + (ii) we get:
47x = 282
x = 6
7.5 km
Let, the distance between office and home =x km.
3 km walk in = 1 hour
x km walk in = $\frac{x}{3}$ hour
Actual reaching time = $\frac{x}{3}$ – $\frac{45}{60}$ hour.
= $\frac{x}{3}$ – $\frac{3}{4}$ hour.
And 5 km walk in = 1 hour.
x km walk in =$\frac{x}{5}$ hour.
Acutal reaching time =$\frac{x}{5}$ + $\frac{15}{16}$ hour.
=$\frac{x}{5}$ + $\frac{1}{4}$ hour.
So, $\frac{x}{3}$ – $\frac{3}{4}$ = $\frac{x}{5}$ + $\frac{1}{4}$
2x = 15
x = 7.5
TK 50
At 25% discount,
The selling price = 80 – (25% of 80) TK
= 80 — 20 = 60Tk.
At 20% profit,
When selling price is Tk. 120 then the cost = Tk. 100
When selling price is Tk. 60 then the cost = $\frac{100×60}{120}$= Tk. 50
