How many years will Tk. 1500 need at 4% simple interest to earn the same interest as Tk. 2000 earns in 3 years at 5% simple interest?
A
4 years
B
5 years
C
6 years
D
8 years
উত্তরের বিবরণ
Question: How many years will Tk. 1500 need at 4% simple
interest to earn the same interest as Tk. 2000 earns in 3 years at 5% simple
interest?
Solution:
Interest from Tk. 2000 in 3 years at 5%:
SI = (P × R × T)/100
= (2000 × 5 × 3)/100
= 300 Tk.
Now,
Tk. 1500 to Produce the Same Interest (Tk. 300) at 4%:
Principal, P = Tk. 1500
Interest, SI = Tk. 300
Interest Rate, R = 4%
Time, T = ? years
SI = PRT/100
⇒
T = (SI × 100)/(P × R)
⇒
T = (300 × 100)/(1500 × 4)
⇒
T = 30000/6000
∴
T = 5 years
0
Updated: 1 month ago
In a business, the ratio of the capitals of A and B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. What is the ratio of the capitals of A and D?
Created: 1 month ago
A
5 : 9
B
12 : 17
C
11 : 15
D
20 : 9
Question: In a business, the ratio of the capitals of A and
B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. What is the
ratio of the capitals of A and D?
Solution:
Given,
A : B = 2 : 1 ⇒ A/B = 2/1
B : C = 4 : 3 ⇒ B/C = 4/3
D : C = 6 : 5 ⇒ C/D = 5/6
Now, A/D = (A/B) × (B/C) × (C/D)
= (2/1) × (4/3) × (5/6)
= 20/9
∴ A/D = 20 : 9
0
Updated: 1 month ago
Two numbers are in the ratio 2 : 3. If 4 is subtracted from the first number, the ratio becomes 1 : 2. What are the numbers?
Created: 1 month ago
A
14, 21
B
16, 24
C
18, 27
D
20, 30
Question: Two numbers are in the ratio 2 : 3. If 4 is
subtracted from the first number, the ratio becomes 1 : 2. What are the
numbers?
Solution:
Let the two numbers be: 2x and 3x
According to the question,
(2x - 4)/3x = 1/2
⇒
2(2x - 4) = 3x
⇒
4x - 8 = 3x
⇒
x = 8
∴ First number = 2 × 8
= 16
∴
Second number = 3 × 8 = 24
0
Updated: 1 month ago
A sum of Tk. 30,000 yields a compound interest of Tk. 4347 when invested at 7% per annum. What is the investment period in years?
Created: 1 month ago
A
2 years
B
4 years
C
3 years
D
5 years
Question: A sum of Tk. 30,000 yields a compound interest of
Tk. 4347 when invested at 7% per annum. What is the investment period in years?
Solution:
Given,
Principal, P = 30000
Rate, r = 7% per annum
Compound Interest, CI = 4347
We know,
Amount, A = P + CI = 30000 + 4347 = 34347
Using the compound amount formula:
A = P(1 + r/100)n
⇒
34347 = 30000 × (1 + 7/100)n
⇒
34347 = 30000 × (107/100)n
⇒
(107/100)n = 34347/30000
⇒
(1.07)n = 1.1449
⇒
(1.07)n = (1.07)2
∴
n = 2 years
0
Updated: 1 month ago
