1156 . A sum of money at simple interest amounts to Tk.2240 in 2 years and Tk.2600 in 5 years, the sum is--

A. 2120
B. 1880
C. 2000
D. cannot be calculated

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Answer: Option C

Explanation:

1157 . A sum of money at simple interest amounts to TK. 5600 in 2 years and Tk. 6500 in 5 years at the rate of -

A. 4%
B. 3%
C. 5%
D. 6%

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Answer: Option D

Explanation:

To find the rate of simple interest, we can use the formula:

Simple Interest (SI) = (Principal * Rate * Time) / 100

We are given two different scenarios:

The money amounts to Tk. 5600 in 2 years.
The money amounts to Tk. 6500 in 5 years.

Let's use the first scenario to calculate the rate:

SI = (Principal * Rate * Time) / 100

5600 = (Principal * Rate * 2) / 100

Now, rearrange the formula to solve for the rate (R):

Rate (R) = (SI * 100) / (Principal * Time)

Rate (R) = (5600 * 100) / (Principal * 2)

Now, let's use the second scenario to calculate the rate:

SI = (Principal * Rate * Time) / 100

6500 = (Principal * Rate * 5) / 100

Again, rearrange the formula to solve for the rate (R):

Rate (R) = (SI * 100) / (Principal * Time)

Rate (R) = (6500 * 100) / (Principal * 5)

Now, let's compare the rates from both scenarios:

Rate in the first scenario (R1) = (5600 * 100) / (Principal * 2) Rate in the second scenario (R2) = (6500 * 100) / (Principal * 5)

Since both scenarios involve the same principal amount, we can compare the rates:

R1 / R2 = [(5600 * 100) / (Principal * 2)] / [(6500 * 100) / (Principal * 5)]

R1 / R2 = (5600 * 100 * 5) / (6500 * 100 * 2)

R1 / R2 = 28000 / 13000

R1 / R2 = 2.1538 (approximately)

So, the rate of interest is approximately 2.1538 times higher in the second scenario compared to the first scenario.

Now, let's calculate the rate in the second scenario (R2):

R2 = (Rate in the first scenario, R1) * 2.1538

R2 ≈ 6% (approximately)

Therefore, the rate of interest is approximately 6%.

সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

A. 10%
B. 12%
C. 5%
D. 8%

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Answer: Option B

Explanation:

1159 . A sum of money becomes Tk.6690 after three years and Tk.10035 after six years on compound interest. The sum is--

A. 4460
B. 4520
C. 4400
D. 4445

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Answer: Option A

Explanation:

1160 . A sum of money is borrowed and paid back in two annual installments of Tk. 882 each allowing 5% compound interest. The sum borrowed was :

A. Tk. 1620
B. Tk. 1680
C. Tk. 1640
D. Tk. 1700

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Answer: Option C

Explanation:

Let's denote the principal amount (the sum borrowed) as "P" in Tk.

Given:

The amount is paid back in two annual installments of Tk. 882 each.
The interest is compounded annually at a rate of 5%.
Let's break down the repayment process:

First Installment:

After the first year, the borrower pays Tk. 882.
This payment includes both the principal and the interest accrued in the first year.
Second Installment:

After the second year, the borrower pays another Tk. 882.
Again, this payment includes both the principal and the interest accrued in the second year.
We can set up equations to represent these two installments:

After the first year: P + 5% of P = P + 0.05P = 1.05P So, after the first year, the remaining amount is 1.05P - 882.

After the second year: (1.05P - 882) + 5% of (1.05P - 882) = (1.05P - 882) + 0.05(1.05P - 882) = 1.1025P - 926.1 So, after the second year, the remaining amount is 1.1025P - 926.1 - 882.

Now, we know that after the second installment, the remaining amount should be zero because the loan is fully paid off. Therefore:

1.1025P - 926.1 - 882 = 0

Now, we can solve this equation to find the principal amount (P):

1.1025P - 1808.1 = 0

1.1025P = 1808.1

P = 1808.1 / 1.1025

P ≈ 1640

So, the principal amount borrowed was approximately Tk. 1640.

1161 . A sum of money is distributed among x, y & z in the proportion 5 : 7 : 10. What is the largest amount of taka not exceeding 1000 which could be distrubuted among them without using a fraction of a taka?

A. 968
B. 990
C. 989
D. 999

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Answer: Option B

Explanation:

1162 . A sum of money is divided among Nyla, Shaminn and Raqib in such way that Nyla gets half the amount, Sharmin gets 3/4 of Nyla's share and Raqib ends up with 40. What is the total amount?

A. 120
B. 180
C. 240
D. 320

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Answer: Option D

Explanation:

Let the total amount be T.

Nyla gets = T/2

Sharmin gets = 3/4 of T/2 = 3T/8

Rakib gets = T - (T/2 + 3T/8) = T - 7T/8 = T/8

Now, T/8 = 40

So, T = 40×8 = 320 TK

1163 . A sum of money is to be distributed among A,B,C,D in the proportion of 5 : 2 : 4 : 3. If C gets Tk. 1000 more than D, what is B's share?

A. Tk. 500
B. Tk.1500
C. Tk. 2000
D. None of these

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Answer: Option C

Explanation:

A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3.

Let the shares of A, B, C and D be Tk.5x,Tk.2x,Tk.4x and Tk.3x respectively.

Then, 4x−3x=1000 ........ given

=> x=1000.

∴ B's share =Tk.2x=Tk..(2×1000)=Rs.2000.

1164 . A sum of money is to distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Tk. 1000 more than D, what is B's share?

A. Tk. 500
B. Tk. 1500
C. Tk. 2000
D. None of these

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Answer: Option C

Explanation:

1165 . A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to 8 times itself?

A. 12 years
B. 8 years
C. 16 years
D. 64 years

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Answer: Option A

Explanation:

When a sum of money doubles itself at compound interest in a certain period, it means it has grown by a factor of 2. To find out in how many years it will amount to 8 times itself, we need to determine the number of times it needs to double.

Let "n" be the number of times the amount doubles.

2^n = 8

To solve for "n," we can rewrite 8 as a power of 2:

8 = 2^3

Now, our equation becomes:

2^n = 2^3

Since the bases are the same (both 2), we can equate the exponents:

n = 3

So, the sum of money will amount to 8 times itself in 3 periods of doubling, which is 3 * 4 years:

3 * 4 = 12 years

Therefore, it will take 12 years for the sum of money to amount to 8 times itself at compound interest.

সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 3%
B. 4%
C. 5%
D. 6%

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Answer: Option D

Explanation:

Hints: Simple interest, I = Pnr

(15500 - 12500) = 12500 × 4 × r

r = 3/50

rate = 3/50 × 100% = 6 %

1167 . A sum of Tk. 312 was decided among 100 boys and girls in such a way that each boy get Tk 3.6 and each girls Tk. 2.4 . The number of girls is-

A. 35
B. 40
C. 55
D. 50

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Answer: Option B

Explanation:

Let's use algebra to solve this problem. Let "b" represent the number of boys and "g" represent the number of girls.

According to the given information, there are 100 boys and girls in total, so we can write the equation:

b + g = 100

Each boy receives Tk 3.6, and since there are "b" boys, the total amount they receive is 3.6b. Similarly, each girl receives Tk 2.4, and since there are "g" girls, the total amount they receive is 2.4g. The total sum of money is Tk. 312, so we can write another equation:

3.6b + 2.4g = 312

Now, we have a system of two equations:

b + g = 100
3.6b + 2.4g = 312

We can solve this system of equations simultaneously. Let's start by multiplying the first equation by 2.4 to match the coefficients of "g" in both equations:

2.4b + 2.4g = 240

Now, we can subtract equation 1 from equation 2:

(3.6b + 2.4g) - (2.4b + 2.4g) = 312 - 240

This simplifies to:

1.2b = 72

Now, divide both sides by 1.2 to solve for "b":

b = 72 / 1.2 b = 60

Now that we know the number of boys (b), we can find the number of girls (g) using the first equation:

b + g = 100 60 + g = 100

Subtract 60 from both sides:

g = 100 - 60 g = 40

So, there are 40 girls.

সমন্বিত ৪ ব্যাংক - সহকারী প্রোগ্রামার - 25.09.2020

A. 35
B. 40
C. 60
D. 65

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Answer: Option B

Explanation:

x + y = 100.......... (1)

3.60x + 3.60 y = 360

3.60 x + 2.40y = 312........ (2)

1.2y = 48

y = 48/1.20 = 40

1169 . A sum of Tk. 600 amounts to Tk. 720 in 4 years at Simple Interest. What will it amount to if the rate of interest is increased by 2% ?

A. Tk.648
B. Tk.768
C. Tk. 726
D. Tk. 792

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Answer: Option B

Explanation:

এখানে, I = 720 - 600 = 120

r = 120× 100 / 600 × 4 = 5%

2% বৃদ্ধিতে মুনাফার হার ( 5 + 2) % = 7%

I = 600 × 7/100 × 4 = 168

মুনাফা - আসল = 600 + 168 = 768

1170 . A sum of Tk.12000 deposited at compound interest becomes double after 5 years. After 20 years it will become--

A. 124000
B. 96000
C. 120000
D. 192000

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Answer: Option D

Explanation:

1156 . A sum of money at simple interest amounts to Tk.2240 in 2 years and Tk.2600 in 5 years, the sum is--

1157 . A sum of money at simple interest amounts to TK. 5600 in 2 years and Tk. 6500 in 5 years at the rate of -

1158 . A sum of money becomes (8/5) of itself in 5 years at a certain rate of interest. The rate percent per annum is---

1159 . A sum of money becomes Tk.6690 after three years and Tk.10035 after six years on compound interest. The sum is--

1160 . A sum of money is borrowed and paid back in two annual installments of Tk. 882 each allowing 5% compound interest. The sum borrowed was :

1161 . A sum of money is distributed among x, y & z in the proportion 5 : 7 : 10. What is the largest amount of taka not exceeding 1000 which could be distrubuted among them without using a fraction of a taka?

1162 . A sum of money is divided among Nyla, Shaminn and Raqib in such way that Nyla gets half the amount, Sharmin gets 3/4 of Nyla's share and Raqib ends up with 40. What is the total amount?

1163 . A sum of money is to be distributed among A,B,C,D in the proportion of 5 : 2 : 4 : 3. If C gets Tk. 1000 more than D, what is B's share?

1164 . A sum of money is to distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Tk. 1000 more than D, what is B's share?

1165 . A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to 8 times itself?

1166 . A sum of Tk. 12,500 amounts to Tk. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

1167 . A sum of Tk. 312 was decided among 100 boys and girls in such a way that each boy get Tk 3.6 and each girls Tk. 2.4 . The number of girls is-

1168 . A sum of Tk. 312 was divided among 100 boys and girls in such a way that each boy gets Tk. 3.60 and each girl Tk. 2.40. The number of girls is :

1169 . A sum of Tk. 600 amounts to Tk. 720 in 4 years at Simple Interest. What will it amount to if the rate of interest is increased by 2% ?

1170 . A sum of Tk.12000 deposited at compound interest becomes double after 5 years. After 20 years it will become--

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