The student 3 questions answered incorrectly.
Total marks for correct answered = 22 x 3.5 = 77 marks
Student received 63.5 marks
The rest of marks = (77 — 63.5) = 13.5 marks
For 1 incorrect answer he loss = (3.5 + 1) = 4.5 marks
He loss 4.5 marks for 1 incorrect answer
He loss 13.5 marks for $\frac{13.5}{4.5}$ incorrect answer = 3
The student 3 questions answered incorrectly.
5 %
Defective products =$\frac{1}{5}$
Hence Good products = (1 – $\frac{1}{5}$) =$\frac{4}{5}$
Rejected of good products = $\frac{4}{5}$ of $\frac{1}{20}$=$\frac{1}{25}$
Rejected of defective products = $\frac{1}{5}$ of $\frac{4}{5}$ = $\frac{4}{25}$
Sold of defective products = $\frac{1}{5}$ – $\frac{4}{25}$ = $\frac{1}{25}$
Total rejected products = 1 – $\frac{1}{5}$ = $\frac{4}{5}$
Among $\frac{4}{5}$ sold products defective = $\frac{1}{25}$
Among 100 sold products defective =$\frac{100\cdot 5}{25 \cdot 4}$= 5%
Live ten miles or less 70% and use company transport 31$\frac{3}{7}$
Let, total employees = 100
30% live over ten miles
30% employee = 30 employees
Live 10 mile or less 10 mile = (100 — 30)% = 70%
60% of 30 employee who live over 10 miles =$\frac{60 \cdot 30}{100}$= 18 employees
The employees 40% use transport = $\frac{60 \cdot 100}{100}$= 40 employees
The employees use transport who live 10 or less 10 miles = (40 – 18) = 22
Among 70 employees use transport = 22
Among 100 employees use transport = $\frac{22 \cdot 100}{70}$ = $\frac{220}{7}$ = 31$\frac{3}{7}$
the trip is 24 hours long
Let, his additional hour of travel time = x hour
He travels 60x miles (in additional hour)
He travels first 6 hour = 40 x 6 = 240 miles
According to the question,
$\frac{240+60x}{6+x}$= 55
=> 240 + 60x = 330 + 55x
=> 5x = 90
so, x = 18
The trip is (18 + 6) = 24 hours long.
TK 2000
Let, the cost of every apple is Tk. x
30% apple = $\frac{220\cdot 30 }{100}$ = 60.
Cost = Tk. 60 x X = Tk. 60x
50% apple = $\frac{200\cdot 50 }{100}$= 100. Cost
= Tk. 100x
So, the rest of apple = Tk. (200 — 160) = 40, Cost = Tk. 40x
At 25% profit,
Tk. 100 provides profit = Tk. 25
Tk. 60:: provides profit = Tk. 2% = 15::
At 20% profit
Tk. 100 makes profit = Tk. 20
Tk. 100x makes profit = Tk. $\frac{25\cdot 60x }{100}$ = 20x
At 15% profit,
Tk. 100 makes profit = Tk. 15
_ 15 x 40x _
Tk. 40x makes profit = Tk.$\frac{15\cdot 40x }{100}$ = 6x
According to the question,
15x+20x+ 6x= 410
=> 41x = 410
=> x = 10
The total purchase price of apple = 200 x 10 = Tk. 2000
