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Bank Name: Modhumoti Bank PLC
Organization Type: Private Bank
Post Name: Probationary Officer
Exam Time: 10 to 11 AM
Question-01 B invests Tk 2400 in the bank at 5% interest. How much additional money must be invested at 8% interest so that the total interest will be equal to 6% of his entire investment?
Solution
Suppose,
:::
Mr. B Additional money invested be x tk
According to the question,
8% of x + 5% of 2400 = 6%(x+2400)
Or,8x+12000 = 6x+14400
Or,2x = 2400
Or,x = 1200
Mr. B Additional money invest is 1200 tk
Answer:1200 TK
Question-2 salesman is paid a monthly salary of tk 15000 plus 12.5% commission on all of his sales .What should be his total annual sales in TK so that his annual earning from salary and commission is tk 265000 ?
Solution:
Given that,
Monthly salary=15000 tk
So, Annual salary
=(15000*12)
=180,000 TK
So , Annual commission he got
=(265000-180000) TK
=85000 TK
Suppose,
His annual sales be x tk
According to the question,
12.5% of x=85000 tk
Or, x=680000 tk
Answer:6,80,000 TK
Question-3:The perimeter of a square field is equal to the perimeter of a rectangle field.Length of the rectangle fields is 3 times of its width and the area is 768 square meter. How many square sized tiles of 80 centimetre wide will be required to cover the square field?
[Social Islamic Bank-PO-2017]
Solution:
Let,
The width of the rectangle be x meter
So,
The length of the rectangle be 3x meter
According to the question,
3x*x=768
0r, x =16
So,
The perimeter of the rectangle,
=2(3*16+16)
=128
So, the perimeter of the square is 128 meters
Suppose,
Each Side of square is a
From question,
4a=128
Or, a =32
Area of the square is
=(a)^2
=(32)^2
=1024 square meter
=10240000 square cm
Area of the tiles
=(80*80) square cm
=6400 square cm
Number of tiles
=10240000/6400
=1600 piece
Answer:1600
Question-4:Solve the equation:
4/(2x+1)+9/(3x+2)=25/(5x+4)
Solution:
4/(2x + 1)+{9/(3x+2)}= 25/(5x+4)
Or,4/(2x+1)= 25/(5x+4)- {9/(3x+2)}
Or,4/(2x+1)=(30x+14)/(5x+4)*(3x+2)
Or,60x^2+58x+14 = 60x^2+88x+32
Or,30x = -18
Or,x = – 3/5
Answer:(-3/5)