ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স

New annual salary = Tk. 90,000
Salary increase = Tk. 25,000.

Original salary
= Tk. (90,000 - 25,000).
= 65,000

Percentage Increase
= (25,000/ 65,000) × 100%
= 38.46%

Discount = Tk. (30,00,000 - 27,90,000) = Tk. 2,10,000
Therefore, rate of discount = (2,10,000/30,00,000) × 100% = 7%

After 5 years the sum = Tk. 1000
After 3 years the sum = Tk. 920
The interest of 2 years = Tk. (1000 - 920) = Tk. 80
The interest of 3 years, I = Tk. 80 x (3/2) = Tk. 120
The principle, P = Tk. (920 - 120) = Tk. 800
So, the rate = I/Pn = 120/(800 x 3) × 100% = 5%

A = P(1 + r)ⁿ
⇒ 10816 = P(1 + 4/100)²
Therefore, present worth,
P = 10816/(1 + 4/100)²
    = 10816/(1.04)²
    = 10816/1.0816
    = Tk. 10,000

Let the salary was Tk. 100

A man's salary was reduced by 30%.
So, salary will be Tk. (100 - 30) = Tk. 70

Again the reduce salary was increased by 30%.
So, salary will be Tk. (70 + 30% of 70) = Tk. (70 + 21) = Tk. 91

Loss of in term of percentage = Tk. (100 - 91) = Tk. 9

Let, the cost price be Tk. x
Selling price at 20% profit
= x + 20% of x
= x + 20x/100
= 120x/100
= Tk. 6x/5

The cost price is increased by 10%. 
So, new cost price
= (x + 10% of x)
= Tk. 11x/10

Therefore, new selling price = Tk. (6x/5 + 26)

New profit = (6x/5 + 26) - 11x/6
                   = Tk. (x/10 + 26)

According to the question,
(x/10 + 26) ÷ 11x/10 × 100 = 15
⇒ (x + 260) × 100/11x = 15
⇒ 65x = 26,000
∴ x = 400

At 10% profit, The cost price of the first shirt
= 100/(100 + 10) × 594
= Tk. 540

At 10% loss, The cost price of the second shirt
= 100/(100 - 10) × 594
= Tk. 660

Now, the total cost price of two shirts
= 540 + 660
= Tk. 1200

and the total sell price of two shirts
= 594 × 2
= Tk. 1188

Loss = 1200 - 1188
        = Tk. 12 

Percentage of loss = (12/1200 × 100)%
                               = 1%
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Shortcut: 
Loss percentage = (common gain or loss/10)% = (10/10)% = 1%
[ When a salesman sells two shirts at same price each and on one there is gain is equal to on other there is loss in percentage, then there shall be always loss percent on the whole and loss percentage will be (common gain or loss/10)% ]

Let 60% of 200 be x percent of 160.
that means, 60% of 200 = x% of 160.
⇒ 60 × 200/100 = 160x/100
⇒ 120 = 8x/5
⇒ 8x = 600
⇒ x = 75

Suppose, Kowshik sells x ticket
price of all ticket without bonus = Tk. 11x
Number of bonus ticket = (x - 100)
Therefore, 11x + 2(x - 100) = 3700
⇒ 11x + 2x - 200 = 3700
⇒ 13x = 3900
⇒ x = 300

80% increase in 8 years at simple interest. That is 10% each year.
Therefore,
Rate of interest is 10%
10% (14000) = 1400
10% (1400) = 140
10% (140) = 14
Required compound interest = 3(1400 + 140) + 14
= Tk. 4634.

In 300 mm mixture, amount of salt = 12% of 300 = 36 mm
If 200 mm water is added to it, total mixture = 200 + 300 = 500 mm
Therefore, amount of salt percentage = 36/500 × 100% = 7.2%

Suppose, marked price of the pen-drive is Tk. x
At 5% discount, selling price of pen-drive = (100 - 5)x = Tk. 95x
At 8% discount, selling price of pen-drive = (100 - 8)x = Tk. 92x
Therefore,
95% of x - 92% of x = 15
⇒ 95x/100 - 92x/100 = 15
⇒ 3x = 1500
⇒ x = 500

Let the price of book
= Tk. 100

Price of flower
= Tk. (100 + 100 × 25%)
= Tk. 125

Price of flower-vase
= Tk. (100 + 100 × 75%)
= Tk. 175

Difference of flower-vase and flower's price
= Tk. (175 -125)
= Tk. 50

∴ Price of the flower-vase more than the price of the flower (in percentage)
= {(50×100)/125}%
= 40%

As the price of mango has reduced 20% that means 
mango of Tk. 100 will be available for Tk. 80
Therefore, mango of Tk. 12 will be available for Tk. (80 × 12/100) or Tk. 9.6
So, cost price of 2 mangoes = (12 - 9.6) = Tk. 2.4
cost price of 50 mangoes = Tk. 2.4 × 50/2 = Tk. 60
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short-cut
20% of Tk. 12 = Tk. 2.4
The price of 2 mangoes is Tk. 2.4
The price of 50 mangoes is Tk. 2.4 × 50/2 = Tk. 60

At 10% decrease,
salary = 100 - 10 = 90

And a 10% increase,
the salary = 90 + 90×10/100 = 99

∴ He is at = 100 - 99 = 1% loss

At loss of 10%, if cost price is Tk. 100, selling price is Tk. (100 - 10) = Tk. 90
At profit of 10%, if cost price is Tk. 100, selling price is Tk. (100 + 10) = Tk. 110
More selling price = Tk. (110 - 90) = Tk. 20
if more selling price is Tk. 20, the cost price is Tk. 100
if more selling price is Tk. 108, the cost price is Tk. 100 × 108/20 = Tk. 540
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Shortcut way:
more selling price = 10 - ( - 10) = 20 
Therefore, 20% of cost price = More selling price
20% of cost price = 108
cost price = Tk. 100 × 108/20 = Tk. 540

Compound interest = Amount − Principal
Amount = 5000(1 + 10/100)⁵ = 8052.55
So, compound interest = Tk. (8052.55 - 5000) = Tk. 3052.55 ≈ Tk. 3052

Simple interest = (10 × 4 × 1000)/100 = Tk. 400
Compound amount, c = p(1 + r)ⁿ
= 1000{1 + (10/100)}⁴
= 1000(11/10)⁴
= 1464.10

∴ Compound interest
= 1464.10 - 1000
= 464.10

∴ Difference between Simple and Compound interest = 464.10 - 400 = Tk. 64.10 ≈ Tk. 64 
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10% সুদে, 1,000 টাকার 4 বছরের সুদ = (10 × 4 × 1000)/100
= 400 টাকা।
আমরা জানি,
চক্রবৃদ্ধি মুনাফায় সবৃদ্ধিমূল, c = p(1 + r)ⁿ
= 1000{1 + (10/100)}⁴
= 1000(11/10)⁴
= 1464.10 টাকা

∴ চক্রবৃদ্ধি মুনাফা
= 1464.10 - 1000
= 464.10 টাকা

∴ সরল এবং চক্রবৃদ্ধি মুনাফার মধ্যে পার্থক্য = 464.10 - 400 = 64.10 টাকা

Given, principal : yearly amount = 25 : 28
So, interest = 28 - 25 = 3

So, rate of interest
= 3/25 × 100 %
= 12%

The required ratio of time = ratio of (interest/investment)
= (5/5) : (3/6) : (12/8)
= 1 : 1/2 : 3/2 = 2 : 1 : 3

Ratio of A and B's investment = 4000 : 5000 = 4 : 5
A's share = 4/(4 + 5) × 1800 = Tk. 800

A seller loses 2/9 of his outlay,
that means if selling price is Tk. 7, then cost price will be (7 + 2) = Tk. 9
if selling price is Tk. 675, then cost price will be Tk. 9 × 675/7 = Tk. 867.86
Loss = Tk. (867.86 - 810) = Tk. 57.86
percentage loss = Tk. 57.86/Tk. 867.86 × 100% = 6.67%

Let the cost price of goods = Tk. 100
Market price of goods = 120% of 100  
                                     = 120/100×100
                                     = Tk. 120
At 30% discount for cash payment, real price = (100 - 30)% = 70%
After discount selling price of goods
= 70% of 120
= Tk. 84
Loss = Tk. (100 − 84) = Tk. 16
Loss % = (16/100) × 100 = 16%

Total marks obtained by the student = 55% of 800
= {(55/100) × 800}
= 440
 ∴ Marks scored in English
= 15% of 440
= {(15/100) × 440}
= 66