3046 . The present ages of A and B are in the ratio 6 : 4. Five years ago their ages were in the ratio 5 : 3. Find their present ages.

A. 42, 28
B. 36, 24
C. 30, 20
D. 25, 15

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Answer: Option C

Explanation:

Bangladesh Bank - Assistant Director - 2009

A. 8, 20, 28
B. 16, 28, 36
C. 20, 35 , 45
D. 12, 21, 27
E. None of these

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Answer: Option B

Explanation:

Let, their present ages be, 4x, 7x, 9x respectively

Then, ( 4x - 8) + ( 7x - 8) + ( 9x - 8) = 56

20x = 80

x = 4

Present ages are 4x = 16, 7x = 28 and 9x = 36 years

3048 . The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?

A. 8
B. 10
C. 12
D. 15

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Answer: Option D

Explanation:

3.5 - এর শতকরায় প্রকাশ হচ্ছে (3.5 × 100)%

= 350 %.

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || অফিসার জেনারেল (10-03-2023)

A. an increase in price by TK. 1 increase the demand by TK. 0.71
B. an increase in price by 1% reduces the demand by TK. 0.71%
C. an increase in price by TK. 0.71 reduces the demand by TK. 1
D. an inrease in price by TK. 0.71% increase the demand by 1%
E. a decrease in demand by 0.71% reduces the price by TK. 1

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Answer: Option B

Explanation:

The price elasticity is - 0.71 means, an increase in price by 1% reduces the demand by TK. 0.71%

The price elasticity অর্থ চাহিদার মূল্য স্থিতিস্থাপকতা।

চাহিদার মূল্য স্থিতিস্থাপকতা (ইরেজি: Price elasticity of demand)) (Ed বা PED) হল এমন একটি অর্থনৈতিক স্থিতিস্থাপকতার পরিমাপ যা নির্দেশ করে কোন দ্রব্য বা সেবার মূল্য হ্রাস বা বৃদ্ধি অনুযায়ী দ্রব্য বা সেবাটির চাহিদার পরিবর্তনের প্রকৃতি।

আলফ্রেড মার্শাল সর্বপ্রথম এই মতবাদের প্রচলন করেন। তার মতে,

দামের পরিবর্তনের ফলে চাহিদা যে দ্রুততা বা ধীরতার সাথে পরিবর্তিত হয়, তাকে স্থিতিস্থাপকতা বলে।[১]

চাহিদা নির্ধারণকারী অন্যান্য বিষয়সমূহ স্থির থাকলে দ্রব্যের দামের এক শতাংশ পরিবর্তনের ফলে দ্রব্য বা সেবাটির চাহিদার যে পরিবর্তন হয় তার মাধ্যমেই এর চাহিদার স্থিতিস্থাপকতা বা স্থিতিস্থাপকতা গুণাঙ্ক পরিমাপ করা হয়।

উদাহরণস্বরূপ বলা যায়, যদি কোন দ্রব্যের দাম ৫% বৃদ্ধি পায় এবং এর ফলে এর চাহিদার পরিমাণ ৫% হ্রাস পায় তাহলে চাহিদার স্থিতিস্থাপকতা হবে - ৫%/৫% = - ১ । বেশিরভাগ দ্রব্যের ক্ষেত্রে যেহেতু স্থিতিস্থাপকতা ঋনাত্বক হয়ে থাকে তাই অনেক অর্থনীতিবিদ এই স্থিতিস্থাপকতার ধনাত্বক বা পরম মান ব্যবহার করে থাকেন।

Bangladesh Bank - Assistant Director - 2006

A. 20%
B. 19%
C. 18%
D. 11%

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Answer: Option B

Explanation:

Let the initial price be 100.

Now, first discounted price = 100 - 10% of 100 = 100 - 10 = 90

Again, second discounted price = 90 - 10% of 90 = 90 - 9 = 81

Actual discount = (100 - 81)% = 19%

3051 . The price of a loaf of bread was increased by 20%. How many loaves can be purchased now by the amount of money used to buy 300 loaves at the earlier price?

A. 240
B. 250
C. 280
D. 320

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Answer: Option B

Explanation:

Let, earlier cost price of 1 loaf is Tk.x

Earlier cost price of 300 loaves is = 300x

At 20% increase , x + x × 20% = 1.2x

Now, 300x /1.2x = 250

3052 . The price of a mobile set Tk. 4200, which includes 20% profit mark up. What is the cost of the mobile set ?

A. Tk. 3360
B. Tk. 840
C. Tk. 3500
D. none of these

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Answer: Option C

Explanation:

If SP 120 then CP 100

If SP 4200 then CP (100×4200)/120=3500 taka

(ans)

3053 . The price of a pen is 25% more than the price of a book. The price of a fan holder is 50% more than the price of the book. How much is the price of the pen holder more than the price of the pen?

A. 20 %
B. 25%
C. 35%
D. 15%

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Answer: Option A

Explanation:

মনেকরি, বইয়ের দাম = 100 টাকা
কলমের দাম = (100 + 100 এর 25% )
= 125 টাকা
আবার,
কলমদানির দাম = (100 + 100 এর 50%)
= 150 টাকা
.:. দাম বেশি হয় (150 - 125) টাকা
= 25 টাকা
125 টাকায় দাম বেশি হয় 25 টাকা
1 টাকায় দাম বেশি হয়2512525125টাকা
.:. 100 টাকায় দাম বেশি হয় 25×10012525×100125টাকা
= 20 টাকা

সমন্বিত ৪ ব্যাংক - সহকারী প্রোগ্রামার - 25.09.2020

A. 3.5%
B. 4.5%
C. 5.5%
D. 6.5%
E. None of them

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Answer: Option A

Explanation:

Here ,

Increase x =15% (+)

Decrease y = 10% (-)

We know

= x±y± xy/100

= 15-10- (15x10)/100

= 5-1.5

= 3.5%

3055 . The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2023, the price of commodity X was Tk. 4.20 and that of Y was Tk. 6.30, in which year commodity X will cost 40 paisa more than the commodity Y?

A. 2032
B. 2033
C. 2034
D. 2035

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Answer: Option B

Explanation:

Uttara Bank PLC || Probationary Officer (09-11-2024) || 2024

A. 25%
B. 30%
C. 15%
D. 20%

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Answer: Option D

Explanation:

3057 . The price of jute has been reduced by 20%. If the reduced price is Tk.800 per quintal, the original price per quintal was--

A. 960
B. 1000
C. 880
D. 950

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Answer: Option B

Explanation:

3058 . The price of sugar increased by 10%. What % of consumption of sugar is to be reduced in order to keep the expenditure on sugar at the same level?

A. 10
B. 9
C. 9.09
D. 10.01

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Answer: Option C

Explanation:

10% increase,

New price will be Tk.110 if old price is Tk.100

New price will be Tk. 1 if old price is tk 100/110

New price will be Tk.100 if old price is tk = (100×100)/110 = 90.91

100 - 90.91 = 9.09

3059 . The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent will his expenses for tea be decreased?

A. 2%
B. 4%
C. 6%
D. 8%

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Answer: Option B

Explanation:

3060 . the price of two bannas is Tk. 40, and the sum of the price of one banna and two kiwis is Tk. 50. The sum of the prices of two bannas and three kiwis is Tk.

A. 90
B. 100
C. 85
D. 50

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Answer: Option C

Explanation:

price of 2 banana = 40 tk

price of 1 banana = 40/2 = 20 tk

price of 2 kiwis = 50-20 = 30 tk

price of 1 kiwis = 30/2 = 15 tk

Now, price of 2 bananas and 3 kiwis = 2*20+3*15 = 40+45 = 85 tk (Ans)

সমন্বিত ৫ ব্যাংক || অফিসার (ক্যাশ) (11-03-2022)

3046 . The present ages of A and B are in the ratio 6 : 4. Five years ago their ages were in the ratio 5 : 3. Find their present ages.

3047 . The present ages of three persons are in the ratio of 4: 7:9 Eight years ago, the sum of their ages was 56. what are their present ages in years?

3048 . The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?

3049 . The price elasticity is -0.71 means

3050 . The price of a DVD Player is discounted by 10 percent, and the reduced price is then discounted again by 10 percent. The series of successive discounts is equivalent to a single discount of ----

3051 . The price of a loaf of bread was increased by 20%. How many loaves can be purchased now by the amount of money used to buy 300 loaves at the earlier price?

3052 . The price of a mobile set Tk. 4200, which includes 20% profit mark up. What is the cost of the mobile set ?

3053 . The price of a pen is 25% more than the price of a book. The price of a fan holder is 50% more than the price of the book. How much is the price of the pen holder more than the price of the pen?

3054 . The price of apple in the year 2010 has increased by 15% from that of the previous year.In 2011 the price has previous year. In 2011 the price has decreased by 10% .In 2011, what was the increase in price respect to that of 2009?

3055 . The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2023, the price of commodity X was Tk. 4.20 and that of Y was Tk. 6.30, in which year commodity X will cost 40 paisa more than the commodity Y?

3056 . The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure of this accountis--

3057 . The price of jute has been reduced by 20%. If the reduced price is Tk.800 per quintal, the original price per quintal was--

3058 . The price of sugar increased by 10%. What % of consumption of sugar is to be reduced in order to keep the expenditure on sugar at the same level?

3059 . The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent will his expenses for tea be decreased?

3060 . the price of two bannas is Tk. 40, and the sum of the price of one banna and two kiwis is Tk. 50. The sum of the prices of two bannas and three kiwis is Tk.

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