Agrani Bank Written Questions Solution

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Agrani Bank Written Questions Solution:

Exam type: Written ( Writing Ability Test )

Math Solution: Detail Solution is ongoing……

8)

a) A novelist earned Tk. 100,000 from royalties on her book. She paid 20% income tax on the royalties. She invested Tk. 50,000 at one rate and the rest at a rate that was 1% lower, earning 6,100 taka annual interest on the two investments. What was the lower rate?

Solution:

Remaining amount after deducting tax=100000*(100-20)%=80000

let lower rate=x

Atq,
30000*x%+50000*(x+1)%=6100
or, 300x+500x+500=6100
or, 800x=5600
or, x=7%

Ans: 7%

b) A working couple earned a total of Tk. 43,520. The wife earned Tk. 640 per day, the husband earned Tk. 560 per day. If the total number of days worked by both was 72, formulate a system of equation and solve the system to find the number of days worked by each.

Solution:

let, wife work =x days
husband work=72-x days

ATQ,
640x+(72-x)560=43520
or, 640x+40320-560x=43520
or, 80x=3200
or, x=40

so wife works 40 days
husband works (72-40)=32 days

Ans: 40 and 32 Days

c) A man’s salary in 2015 was Tk. 20,000 per annum and it increased by 10% each year. Find how much he earned in the years 2015 to 2017 inclusive.

Solution:
2015=20000
2016=20000+20000*.10=22000
2017=22000+22000*.10=24200

sum= 66200
Ans: 66200

d) Prove that the sum of the odd numbers from 1 to 125 inclusive is equal to the sum of the odd numbers from 169 to 209 inclusive.

Solution:

Number of odd numbers between -1-125=63

1-3-5-7—+125

sum 63rd series =63/3{2*1+(n-1)*2}
solving =3969

number of odd series in between 169-209=21

169-171—209

sum of 21st series =n/2{2*169+(21-1)*2}

solving =3969

(proved)

e) proved-1 LHS=RHS (Proved)

f) Solution:

x/2+y/3=1—–(I)
x/3+y/2=1—–(ii)
multiply by 3 equation (I) and by 2 equation (ii) then (I)-(ii)
3x/2-2x/3=3-2
or, (9x-4x)/6=1
or, 5x=6
or, x=6/5

putting value in equation (I)
6/10+y/3=1
or, (18+10y)/30=1
or, 10y=12
or, y=6/5

so (x,y)=(6/5,6/5)

f) x=6/5 y=6/5

g) A hemisphere and a right circular cone on equal bases are of equal height. Find the ratio of their volumes.

Solution in image below:

See the Written ( Writing Ability Test ) question in the image below:

Agrani Bank Written Questions Solution:

Exam type: Written ( Writing Ability Test )

Math Solution: Full Solution is ongoing……

B.

(55+53+79)-(18+17+25)+10=x
=)x=197-60
=)x=137
d.
X^2+4^2=5^2
=)x^2=9
=)x=3

C)

1st cp=100×100/110=1000/11

2nd cp=100×100/90=1000/9

total cp of two=1000/11+1000/9=20000/99.
Sp=100+100=200

proft/loss=200-20000/99=19800-20000/99=-200/99
% of loss=200×99×100/99×20000=1%

E.

Ans: x(x+4)

See the Written ( Writing Ability Test ) question in the image below:

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Agrani Bank Written Questions Solution:

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