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ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স

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Stocks & Shares, True discount, Bankers discount [ব্যাংকের সকল পরীক্ষা যেকোনো প্যাকেজের জন্য ফ্রি]
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ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স

ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স · তারিখ অনির্ধারিত · ২৮ প্রশ্ন

.
Find the number of shares that can be bought for tk. 8200 if the market value is tk. 20 each with brokerage being 2.5%.
  1. ক) 450
  2. খ) 500
  3. গ) 400
  4. ঘ) 300
সঠিক উত্তর:
গ) 400
উত্তর
সঠিক উত্তর:
গ) 400
ব্যাখ্যা

Cost of each share = (20 + 2.5% of 20) = tk.20.5
Therefore, number of shares = 8200/20.5 = 400

.
A merchant marks his goods 40% above the cost price and sell them at a discount of 15%. Find his gain % = ?
  1. ক) 25%
  2. খ) 22%
  3. গ) 19%
  4. ঘ) 20%
সঠিক উত্তর:
গ) 19%
উত্তর
সঠিক উত্তর:
গ) 19%
ব্যাখ্যা

Let the cost price = 100 units
Marked price = 140 units
Selling price = 140 × 85/100 = 119
Profit % = 19/100×100 = 19%

.
While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Tk. 15 less as profit, what is the marked price of the watch = ?
  1. ক) 1250
  2. খ) 1400
  3. গ) 1500
  4. ঘ) 750
সঠিক উত্তর:
গ) 1500
উত্তর
সঠিক উত্তর:
গ) 1500
ব্যাখ্যা

Let the marked price = 100x
Shop Keeper gives 5% discount, therefore, Price becomes = 95x
Again if shopkeeper gives 6% discount then the price become = 94x
According to the question if he gives 6% discount his earning will Tk.15 less
∴ 95x - 94x = 15
⇒ x = 15
∴ Marked price = 100 × 15 = Tk. 1500

.
A company pays 12.5% dividend to its investors. If an investor buys tk.50 shares and gets 25% on investment, at what price did the investor buy the shares?
  1. ক) 6.25
  2. খ) 25
  3. গ) 50
  4. ঘ) 12.5
সঠিক উত্তর:
খ) 25
উত্তর
সঠিক উত্তর:
খ) 25
ব্যাখ্যা

Dividend on 1 share = (12.5 x 50)/100 = tk.6.25
tk.25 is income on an investment of tk.100
tk.6.25 is income on an investment of tk. (6.25 x 100)/25 = tk.25

.
A single discount equivalent to discount series 20%, 20% and 10% is = ?
  1. ক) 50%
  2. খ) 48.4%
  3. গ) 42.4%
  4. ঘ) 40.4%
সঠিক উত্তর:
গ) 42.4%
উত্তর
সঠিক উত্তর:
গ) 42.4%
ব্যাখ্যা

Single equivalent discount for 20% and 20%
= 20+20−20 × 20/100 
= 40−4 = 36%
Single equivalent discount for 36% and 10%
= 36+10−36 × 10/100
= 46−3.6 =42.4%

.
A man buys tk. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
  1. ক) 12
  2. খ) 15
  3. গ) 18
  4. ঘ) 21
সঠিক উত্তর:
খ) 15
উত্তর
সঠিক উত্তর:
খ) 15
ব্যাখ্যা

Dividend on tk. 20 = tk.9/100x 20= 9/5
tk.12 is an income on tk.100.
Tk. 9/5 is an income on tk. 100/12 x 9/5 = tk.15

.
The B.D. and T.D. on a certain sum is Tk. 200 and Tk. 100 respectively. Find out the sum.
  1. ক) 400
  2. খ) 300
  3. গ) 100
  4. ঘ) 200
সঠিক উত্তর:
ঘ) 200
উত্তর
সঠিক উত্তর:
ঘ) 200
ব্যাখ্যা

F = (BD×TD)/(BD−TD)
= (200 × 100)/ (200−100)
= 200−100/ 100
= Tk.200

.
A man invested Tk. 4455 in Tk. 10 shares quoted at Tk. 8.25. If the rate of dividend be 12%, his annual income is:
  1. ক) 207.40
  2. খ) 534.60
  3. গ) 648
  4. ঘ) 655.60
সঠিক উত্তর:
গ) 648
উত্তর
সঠিক উত্তর:
গ) 648
ব্যাখ্যা

Number of shares =4455/8.25= 540.
Face value = tk. (540 x 10) = tk. 5400.
Annual income = tk.12/100x 5400= tk. 648.

.
What is the banker’s discount, if the true discount on a bill of Tk. 840 is Tk.105?
  1. ক) 100
  2. খ) 110
  3. গ) 120
  4. ঘ) 130
সঠিক উত্তর:
গ) 120
উত্তর
সঠিক উত্তর:
গ) 120
ব্যাখ্যা

Present Worth (P.W.) = 840 - 105 
= Tk. 735
Therefore, S.I. on Tk. 735 = Tk. 105
S.I. on Tk. 8400
= 105 × 840/735
= Tk. 120

১০.
The single discount equivalent to two successive discount of 20% and 5% is = ?
  1. ক) 24%
  2. খ) 25%
  3. গ) 22%
  4. ঘ) 23%
সঠিক উত্তর:
ক) 24%
উত্তর
সঠিক উত্তর:
ক) 24%
ব্যাখ্যা

Two successive discount is equivalent
= 20+5− 20×5/100
= 25−1 = 24%

১১.
The bankers discount on Tk. 1800 at 12% per annum is equal to the true discount on Tk 1872 for the same time at the same rate. Find the time.
  1. ক) 4 months
  2. খ) 5 months
  3. গ) 6 months
  4. ঘ) 3 months
সঠিক উত্তর:
ক) 4 months
উত্তর
সঠিক উত্তর:
ক) 4 months
ব্যাখ্যা

S.I. on Tk. 1800 = T.D. on Tk. 1872
P.W. of Tk. 1872 is Tk. 1800
Tk. 72 is S.I. on Tk. 1800 at 12%
Time = (100×72)/(12×1800)
= 1/3 years = 4months

১২.
The cost price of a Tk 100 stock at 4 discount, when brokerage is 1/4% is:
  1. ক) 95.75
  2. খ) 96
  3. গ) 96.25
  4. ঘ) 104.25
সঠিক উত্তর:
গ) 96.25
উত্তর
সঠিক উত্তর:
গ) 96.25
ব্যাখ্যা
C.P. = (100 - 4 + 1/4 ) = tk 96.25
১৩.
The banker's gain on a bill due 1 year hence at 12% per annum is Tk. 6. The true discount is:
  1. ক) 72
  2. খ) 36
  3. গ) 54
  4. ঘ) 50
সঠিক উত্তর:
ঘ) 50
উত্তর
সঠিক উত্তর:
ঘ) 50
ব্যাখ্যা

T.D. = (B.G.×100)/(R×T)
= Tk.(6×100 / 12×1)
= Tk.50

১৪.
A person paid Tk. 17000 for a motor-car after a single discount of 15%. If he is given successive discount of 5% and 10% then how much he would pay?
  1. ক) 17000
  2. খ) 17010
  3. গ) 17100
  4. ঘ) 18900
সঠিক উত্তর:
গ) 17100
উত্তর
সঠিক উত্তর:
গ) 17100
ব্যাখ্যা

Cost price of motor-car = Tk. 17000
Mark price of motor-car
= Tk 17000 × 100/85 = Tk. 20000
After successive discount,Cost price
= Tk. 20000 × 95/100×90/100
= Tk. 17100 

১৫.
The bankers discount and true discount on a sum of money due 8 months hence are Tk.120 & Tk.110 resp. Find the sum.
  1. ক) 1457
  2. খ) 1320
  3. গ) 1140
  4. ঘ) 1260
সঠিক উত্তর:
খ) 1320
উত্তর
সঠিক উত্তর:
খ) 1320
ব্যাখ্যা

Sum = (B.D.×T.D.)/(B.D.−T.D.)
= (120×110) / (120−110)
= 1320

১৬.
The true discount on a bill of Tk. 540 is Tk. 90. The banker's discount is:
  1. ক) 60
  2. খ) 108
  3. গ) 110
  4. ঘ) 112
সঠিক উত্তর:
খ) 108
উত্তর
সঠিক উত্তর:
খ) 108
ব্যাখ্যা

P.W. = Tk.(540−90) = Tk.450
∴S.I. on Tk.450
= Tk. 90 
S.I.on Tk. 540
= Tk.(90/450×540)
= Tk.108
∴B.D.= Tk.108

১৭.
A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is = ?
  1. ক) 21%
  2. খ) 20%
  3. গ) 18%
  4. ঘ) 17%
সঠিক উত্তর:
ঘ) 17%
উত্তর
সঠিক উত্তর:
ঘ) 17%
ব্যাখ্যা

Let the cost price of goods = Tk. 100
Mark price of goods = Tk.130 (30% discount)
Selling price of goods 
= 90% of 130 = Tk 117
Gain = 117 - 100 = Tk. 17
Gain% = 17/100×100 = 17%

১৮.
The banker's discount of a certain sum of money is Tk. 72 and the true discount on the same sum for the same time is Tk. 60. The sum due is:
  1. ক) 360
  2. খ) 432
  3. গ) 540
  4. ঘ) 1080
সঠিক উত্তর:
ক) 360
উত্তর
সঠিক উত্তর:
ক) 360
ব্যাখ্যা

(B.D.×T.D)/(B.D.−T.D)
= Tk (72×60/ 72−60)
= Tk. (72×60/12)
= Tk.360

১৯.
A man invested tk.1552 in a stock at 97 to obtain an income of tk. 128. The dividend from the stock is:
  1. ক) 7.5%
  2. খ) 8%
  3. গ) 9.7%
  4. ঘ) None of these
সঠিক উত্তর:
খ) 8%
উত্তর
সঠিক উত্তর:
খ) 8%
ব্যাখ্যা

By investing tk. 1552, income = tk. 128.
By investing tk. 97, income = tk.128/1552 x 97= tk. 8.
Dividend = 8%

২০.
A man buys tk. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he buy the shares?
  1. ক) 35.50
  2. খ) 40
  3. গ) 48
  4. ঘ) 52
সঠিক উত্তর:
খ) 40
উত্তর
সঠিক উত্তর:
খ) 40
ব্যাখ্যা

Dividend on 1 share
= ( 10/ 100 ×50)
= Tk. 5
Tk. 12.50 is an income on an investment of tk. 100
Tk. 5 is an income on an investment of :
= Tk. (100× 2/25 ×5)
= Tk. 40.
∴ Cost of 1 share = Tk. 40

২১.
The banker's gain on a sum due 3 years hence at 12% per annum is Tk. 360. The banker's discount is:
  1. ক) 1360
  2. খ) 1000
  3. গ) 360
  4. ঘ) 640
সঠিক উত্তর:
ক) 1360
উত্তর
সঠিক উত্তর:
ক) 1360
ব্যাখ্যা

BG = Tk. 360
T = 3 years
R = 12%
TD = (BG×100)/TR
= (360×100)/(3×12)
= Tk. 1000
BG = BD - TD
⇒ BD = BG + TD = 360 + 1000 = Tk. 1360

২২.
A man invested Tk. 14400 in tk. 100 shares of a company at 20% premium. If the company declares 5% dividend at the end of the year, then how much does he get?
  1. ক) 500
  2. খ) 600
  3. গ) 650
  4. ঘ) 720
সঠিক উত্তর:
খ) 600
উত্তর
সঠিক উত্তর:
খ) 600
ব্যাখ্যা

Number of shares = (14400/120) = 120
Face value = (100 × 120) = 12000
Annual income = (5/100 × 12000) = 600

২৩.
The B.D. and T.D. on a certain sum is Tk. 200 and Tk. 100 respectively. Find out the sum.
  1. ক) 400
  2. খ) 300
  3. গ) 100
  4. ঘ) 200
সঠিক উত্তর:
ঘ) 200
উত্তর
সঠিক উত্তর:
ঘ) 200
ব্যাখ্যা

F = (BD×TD)/(BD−TD)
= (200×100)/(200−100)
= 200−100/ 100
= Tk. 200 

২৪.
A person has deposited Tk. 13200 in a bank which pays 14% interest. He withdraws the money and invests in Tk. 100 stock at Tk. 110 which pays a dividend of 15%. How much does he gain or lose?
  1. ক) Loses Tk. 48
  2. খ) Gains Tk. 48
  3. গ) Loses Tk. 132
  4. ঘ) Gains Tk. 132
সঠিক উত্তর:
ক) Loses Tk. 48
উত্তর
সঠিক উত্তর:
ক) Loses Tk. 48
ব্যাখ্যা

Income from bank = 14% of Tk. 13200 = Tk. 1848
Number of shares purchased
= Tk. (13200/110)
= Tk. 120
Income from stock
= (15% of Tk. 100) × 120
= Tk. (15 × 20)
= Tk. 1800
∴ Loss = Tk. (1848 - 1800)
= Tk. 48

২৫.
A man invested Tk. 1552 in a stock at 97 to obtain an income of Tk. 128. The dividend from the stock is:
  1. ক) 7%
  2. খ) 8%
  3. গ) 9.7%
  4. ঘ) None of these
সঠিক উত্তর:
খ) 8%
উত্তর
সঠিক উত্তর:
খ) 8%
ব্যাখ্যা

By investing Tk.1552, income = Tk 128.
By investing Tk.97, income = Tk.(128 / 1552×97) = Tk 8
∴Dividend = 8%

২৬.
A trader allows two successive discounts of 30% and 15% on selling an article. If he gets Tk. 476 for that article, find its marked price = ?
  1. ক) 700
  2. খ) 400
  3. গ) 900
  4. ঘ) 800
সঠিক উত্তর:
ঘ) 800
উত্তর
সঠিক উত্তর:
ঘ) 800
ব্যাখ্যা

Let, Marked price = Tk. x
∴x× 70/100 × 85/100 =476
⇒ x = 476 × 100/70 ×100/85 
⇒ x= Tk. 800 

২৭.
The marked price is 20% higher than cost price. A discount of 20% is given on the marked price. By this type of sale, there is = ?
  1. ক) 4% loss
  2. খ) 2% loss
  3. গ) No loss no gain
  4. ঘ) 4% gain
সঠিক উত্তর:
ক) 4% loss
উত্তর
সঠিক উত্তর:
ক) 4% loss
ব্যাখ্যা

Let the cost price = 100 units
Marked price = 120 units
Selling price = 120 × 80/100 = 96 units
There will be loss
Loss% = 100−96 /100 × 100 = 4%

২৮.
A fan is listed at Tk. 150 and a discount of 20% is given. Then the selling price is = ?
  1. ক) 180
  2. খ) 150
  3. গ) 120
  4. ঘ) 110
সঠিক উত্তর:
গ) 120
উত্তর
সঠিক উত্তর:
গ) 120
ব্যাখ্যা
Selling price = 150×80 / 100 = Tk. 120