১.
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%.
ব্যাখ্যা
Cost of each share = (20 + 2.5% of 20) = tk.20.5
Therefore, number of shares = 8200/20.5 = 400
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Stocks & Shares, True discount, Bankers discount [ব্যাংকের সকল পরীক্ষা যেকোনো প্যাকেজের জন্য ফ্রি]
ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স
ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স · তারিখ অনির্ধারিত · ২৮ প্রশ্ন
২.
A merchant marks his goods 40% above the cost price and sell them at a discount of 15%. Find his gain % = ?
ব্যাখ্যা
Let the cost price = 100 units
Marked price = 140 units
Selling price = 140 × 85/100 = 119
Profit % = 19/100×100 = 19%
৩.
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 = ?
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
৪.
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?
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
৫.
A single discount equivalent to discount series 20%, 20% and 10% is = ?
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%
৬.
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:
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
৭.
The B.D. and T.D. on a certain sum is Tk. 200 and Tk. 100 respectively. Find out the sum.
ব্যাখ্যা
F = (BD×TD)/(BD−TD)
= (200 × 100)/ (200−100)
= 200−100/ 100
= Tk.200
৮.
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:
ব্যাখ্যা
Number of shares =4455/8.25= 540.
Face value = tk. (540 x 10) = tk. 5400.
Annual income = tk.12/100x 5400= tk. 648.
৯.
What is the banker’s discount, if the true discount on a bill of Tk. 840 is Tk.105?
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 = ?
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.
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:
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:
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?
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.
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:
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 = ?
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:
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:
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?
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:
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?
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.
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?
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:
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 = ?
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 = ?
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 = ?
ব্যাখ্যা
Selling price = 150×80 / 100 = Tk. 120