ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স

10% of m = 20% of n
⇒ (10/100) × m = (20/100) × n
⇒ 10 m = 20 n
⇒ m/n = 20/10
∴ m : n = 2 : 1

S.P. = 85% of Tk.1400 
      = Tk. (85 × 1400)/100
      = Tk.1190

Let
the actual number be x
According to the question
⇒ 20% of x + 36 = 200% of x
⇒ (20/100) × x + 36 = (200/100) × x
⇒ x/5 + 36 = 2x
⇒ 36 = 2x – x/5
⇒ 9x/5 = 36
⇒ x = 20

40% of x ⇒ (40/100) × 20 = 8

∴ 40% of actual number is 8

Cost price of 10 articles (C.P.) = Tk. 8
Selling price of 10 articles (S.P.) = 1.25×100
                                                   = Tk.12.50
                           Profit = S.P - C.P.
                                     =12.50 - 8
                                     =Tk. 4.50.

∴ Gain % ={(4.50×100)/8}%
                = (450/8)%
                 = (225/4)%

Let be assume the number is x
According to the question
x × 3/5 = 40 + 40% of x
⇒ x × (3/5) = 40 + x × (40/100)
⇒ x × (3/5) = 40 + x × (2/5)
⇒ (3x/5) - (2x/5) = 40
⇒(3x - 2x)/5 = 40
⇒ x/5 = 40
⇒ x = 200

∴ The required result will be 200.

Let
S.P = x
loss = x/3 
C.P = x + (x/3)
      =(3x + x)/3
      = 4x/3
 Loss percentage = [{(x/3)/(4x/3)} × 100]%
                             = {(x/3) ×(3/4x) × 100}%
                              = 25%

Given that 
30% of C = 25% of A
2d% of C = A

According to the questions,
⇒ (30/100) × C = (25/100) × A
⇒ (30/25) = A/C
⇒ 6/5 = A/C

From the above question,
⇒ 2d% of C = A
⇒ 2d/100 = A/C
⇒ 2d/100 = 6/5
⇒ 2d = (6/5) × 100
⇒2d = 120
⇒ d = 60

∴ The value of d is 60

Discount = 80 - 64
               = 16
Discount Rate = (16/80) × 100
                       = 20%

SP of first article = Tk. 960
CP of 2nd article = Tk.960
Profit on first article = 20%
Loss on 2nd article = 20%

After profit of 20%, CP of first article = 960 × (100/120)
                                                            = Tk. 800
After loss of 20%, SP of 2nd article = 960 × (80/100)
                                                        =Tk. 768
Total CP of both article = 800 + 960 = Tk.1760
Total SP of both article = 960 + 768 = Tk.1728

∴ Total loss = 1760 – 1728 = Tk. 32

Let the first discount be x%.
Now
87.5% of (100 - x)% of 150 = 105
(87.5/100) × {(100 - x)/100} × 150 = 105
100 - x = (105 × 100 × 100)/(150 × 87.5)
100 - x = 80 
100 - 80 = x
x = 20 


The first discount be 20%

Suppose originally he had x apples.
Then, (100 - 40)% of x = 450
60% of x = 450
60x/100 = 450 
3x/5 = 450 
x = (450 × 5)/3
x = 750

Selling price =Tk.  37.40
Discount = 15%.

Let the M.P be 100%.
The selling price will be 100% - 15% = 85%
⇒ 85% = 37.40
⇒ 100% = 37.40 × (100/85)
⇒ 100% = Tk. 44

∴ The Marked price is Tk. 44 .
The marked price of each of the articles = 44/2 = 22Tk. 

5.6 × 100/100
⇒ (5.6 × 100) × (1/100)
= (5.6 × 100)%
= 560%

∴ 5.6 is 560%.

Let 
The price of the car be Tk. 100 
Cost price = Tk.(100 - 20) = Tk. 80
S.P = 120% of 100 = TK.120
Gain =  Tk. (120 - 80) = Tk. 40
Gain% = {(40/80) × 100}% = 50% 

Let the cost price be Tk. x  
⇒ Loss = x/7

⇒ Selling price = x – (x/7)
⇒ 144 = 6x/7
⇒ x = 168

⇒ New selling price = Tk. 189
⇒ Gain % = {(189 – 168)/168} × 100
                = 12.5%

x% of 0.6 = 0.06
⇒ (x/100) × 0.6 = 0.06
⇒ x = 0.06 × 100/0.60
⇒ x = 10

C.P. of 56 kg rice = Tk. (26 x 20 + 30 x 36)
                            = Tk. (520 + 1080)
                            = Tk. 1600.

S.P. of 56 kg rice = Tk. (56 x 30)
                           = Tk. 1680.


Gain ={(80/1600) × 100}%
        = 5%

Let 
The monthly income be Tk. x 
Now 
{100 - (200/3)}% of x = 1500
{(300 - 200)/3}% of x = 1500
(100/3) % of x = 1500
(100/3) × (1/100) × x = 1500
x/3 = Tk.1500
x = Tk.4500

His monthly expense = Tk. (4500 - 1500)
                                   = Tk. 3000

Let the number be x
⇒ (x + 75% of x + 25% of x)/3 = 240
⇒ {x + (75x/100) + (25x/100)}/3 = 240 
⇒ {x + (3x/4) + ( x/4)}/3 = 240 
⇒ (4x + 3x +x)/4 = 720 
⇒ 8x/4 = 720
⇒ 2x = 720 
⇒ x = 720/2 
⇒ x = 360

C.P. = Tk. {(100/122.5) x 392}
       = Tk. {(1000/1225) x 392}
       = 320 

 Profit = Tk. (392 - 320)
            = Tk. 72

Let C.P be 100
then the marked price Tk. 130 

Sell price = {100 - (25/4)} % of 130 
                = {(400 - 25)/4}% of 130 
                = (375/400) × 130 
                 = 121.875

Gain% = (121.875 - 100)%
           = 21.875%

Let
Cost price of product be Tk. 100
Marked price = (100 + 20)% of 100
                      = 120
 Profit = 5%
⇒ Selling price = (100 + 5)% of 100
                         = 105

⇒ Discount = Marked price - Selling price
                   = 120 - 105
                   = 15
⇒ Discount %= (15/120) × 100
                      = 12.5%

∴ 12.5% is discount should be sold so as to make 5% profit.

Let 
The investor total capital is x

Total  return = 3% of (x/4) + 5% of (2x/3) + 11% of {x - (x/4) - (2x/3)}
                    = (3x/400) + (10x/300) + (11/100) of {(12x - 3x - 8x)/12}
                    = (3x/400) + (10x/300) + (11x/1200)
                    = (9x + 40x + 11x)/1200
                    = 60x/1200
                    = x/20

the average rate of return =[{(x/20)/x} × 100]%
                                          = 5%

Here,
The selling price of 11m cloth is obtained as profit.
 (S.P. of 33 m cloth) –  (C.P. of 33 m cloth)=  S.P pf 11 m cloth 
The selling price of 22 m cloth = Cost Price of 33 m of cloth

Let the cost of each metre be Tk. 100.

Therefore,
the cost price of 22 m cloth = 22 × 100 = Tk. 2200 and
S.P. of 22 m cloth = Tk. 3300
Profit = 3300 - 2200 = 1100

Profit% = {(1100/2200) × 100}%
= 50%

Given,
Selling price of book = Tk. 575
Let cost price of book be Tk. a.
     ⇒ Profit = 575 - a

Given,
Selling price of book = Tk. 385
⇒ Loss = a - 385

Then,
⇒ 575 - a = a - 385
⇒ 2a = 960
⇒ a = 480

∴ cost price of a book is Tk. 480

Let 
The monthly salary be x

Now 
(8/3)% of x = 88 
(8/3) × (1/100) × x = 88 
8x/(3 × 100) = 88
x = (88 × 3 × 100)/8
x = 3300

Let the original price x 
Now
95% of 88% of x = 209 
(95/100) × (88/100)  × x = 209 
x = (209 × 100 × 100)/(95 × 88)
x = 250