Bangladesh Bank Written Math Solution

Click here to download shortcut math apk

Click here to download the book

01. A trade where selling an item was asking for such a price that would enable him to ofer a
10% discount and stll make a proft of 0%. If the cost of the product was tk 50, what was his
asking price? [Bangladesh Bank Ofcere 001]
::
Soluton:
If the cost price was 50tk
Then 0% proft selling price is
={50 +(50* 0/100)}
= 60 tk
And 10% discount
If the selling price is 90 then asking price is 100
If the selling price is 1 then asking price is 100/90
If the selling price is 60 then asking price is {(100*60)/90} = 66.67 Tk
Answer:66.67 tk
0 . Mr. X pays 10% tax on all income over 60000tk but he does not pay any tax on interest on
postal saving certfcate.In 000 he paid 7500 as tax & he earned 1 000 as interest on postal
savings account.What is his net and total income in 000?
[Bangladesh Bank Ofcere 001]
:::
Soluton:
Given that,
Mr. X gives 10% taxes on his income,
So,
If tax is 10tk then income is 100tk
If tax is 7500tk the income is (100*7500)/10 = 75000tk
So,
His total income in 000
=(75000 + 60000 + 1 000)
= 147000 Tk
And,his net income in 000 is
=Total IncomeeTax
=(147000 – 7500)
= 139500 Tk
Answer: 147000 tk & 139500 tk

03:In an organizaton, 30% of the employees live over 10 miles from the work. 60% of
employees who live who live over 10 miles from work,use company transport. If 40% of
employees of the company use company transport, what percentage of the employees live 10
miles or less from work and use company transport?
[Bangladesh Bank Ofcer e 001]
[Estarn Bank MTOe 007]
Soluton:
Math Fact:
[Note:আপনাকক মমাট কমরর কত অংশ ১০ মাইল বা এর কম দরূ কত বসবাস ককর তা জানকত মচকয়কছ।
৭০ জন কমরর মকধধ নয় বরং X/ ১০০ জন কমরর মকধধ।]
Let,
Total employee be=x
Live 10 miles over employee be
=x of 30%
=3x/10
Live 10 miles or less employee
=(xe3x/10)
=7x/10
Employees Live ove 10 miles and using company transport
=3x/10 of 60%
=9x/50
Total number of employees using company transport
=x of 40%
= x/5
Employees using transport and live 10 miles or less from work
=( x/5 e 9x/50)
=11x/50
Among x employees using transport and live 10 miles or less from work=11x/50 employees
So,
100 employees using transport and live 10 miles or less from work
=[(11x * 100)/50*x]
= %
Answer: %
Alternative:
Let,
..
The total number of employees be=100
Employees live10 miles or less from work=100e30=70
Employees live over 10 miles and using transport=60% of 30=18
Total number of employees using transport=40% of100=40
Employees using transport and live 10 miles or less from work
=40e18=
Answer: %
04.A candidate answered all queston in a test & received 63.5 marks.If the total marks were
derived by adding 3.5 marks each correct answer and deductng 1 mark for each incorrect
answer, how many questons did the student answer correctly? [Bangladesh Bank Ofcere 001]
::
Soluton:
Let,
No of correct answer be x,
so incorrect answer =( e x)
According to the queston,
3.5x e 1*( e x) = 63.5
Or, 3.5x – + x = 63.5
Or, 4.5x = 63.5 + = 85.5
Or, x = 85.5/4.5 = 19
So, correct answer was 19
Answer:19
05.Mr.Rich sold two propertes, 1 & for tk 50,000 each. He sold property 1 for 0% more
then what he paid for it & sold for 0% less than what he paid for it. What was his total gain
or loss, if any, on the sale of two propertes? [Bangladesh Bank Ofcere 001]
::
Soluton:
In case of 1:
At 0% proft
If selling price is 1 0tk then buying price 100tk
If selling price is 50,000 tk then cost price
={(50000*100)/1 0}
= 500000/1
= 1 5000/3 Tk
In case of :
At 0% loss
If selling price is 80tk then buying price 100tk
If selling price is 50000tk then cost price
={(50000*100)/80}
= 6 ,500 tk
Now, total sell price
=50000*
=1,00,000 tk
Total cost price
= 1 5000/3 + 6 500
= 31 500/3
= 104166.67 tk
So, loss={104166.67e( *50,000)}
= 104166.67 – 1,00,000 = 4166.67 tk
Answer:4166.67 tk