What is the difference between simple and compound interest at 10% per annum on a sum of Tk. 6000 at the end of 2 years?
A
Tk. 120
B
Tk. 90
C
Tk. 60
D
Tk. 75
উত্তরের বিবরণ
Question: What is the difference between simple and compound interest at 10% per annum on a sum of Tk. 6000 at the end of 2 years?
Solution:
Principal (P) = Tk. 6000
Rate (r) = 10% per annum
Time (n) = 2 years
Simple Interest (SI):
SI = (P × R × T)/100
= (6000 × 10 × 2)/100
= 120000/100
= Tk. 1200
Compound Interest (CI):
Amount (A) = P × (1 + r/100)n
= 6000 × (1 + 10/100)2
= 6000 × (1.1)2
= 6000 × 1.21
= Tk. 7260
∴ CI = A - P = 7260 - 6000
= Tk. 1260
∴ Difference between CI and SI = 1260 - 1200
= Tk. 60
0
Updated: 1 day ago
কোনো আসল 2 বছরের মুনাফা- আসলে 7000 টাকা হয়। মুনাফা আসলের 2/5 অংশ হলে মুনাফা হার কত?
Created: 9 hours ago
A
20%
B
15%
C
18%
D
25%
প্রশ্ন: কোনো আসল 2 বছরের মুনাফা- আসলে 7000 টাকা হয়। মুনাফা আসলের 2/5 অংশ হলে মুনাফা হার কত?
সমাধান:
ধরি,
আসল = 5x
∴ মুনাফা = (2/5) × 5x টাকা
= 2x টাকা
প্রশ্নমতে,
5x + 2x = 7000
⇒ 7x = 7000
⇒ x = 1000
∴ আসল = (5 × 1000) = 5000 টাকা
এবং মুনাফা = (2 × 1000) = 2000 টাকা
∴ 5000 টাকায় 2 বছরের মুনাফা = 2000 টাকা
∴ 1 টাকায় 1 বছরের মুনাফা = 2000/(5000 × 2) টাকা
∴ 100 টাকায় 1 বছরের মুনাফা = (2000 × 100)/(5000 × 2) = 20 টাকা
∴ সুদের হার = 20%
0
Updated: 9 hours ago
The speed of a boat in still water is 9 km/h. The time it takes to travel downstream is half the time it takes to travel upstream. What is the speed of the stream?
Created: 1 day ago
A
3 km/h
B
2.5 km/h
C
4 km/h
D
3.5 km/h
Question: The speed of a boat in still water is 9 km/h. The time it takes to travel downstream is half the time it takes to travel upstream. What is the speed of the stream?
Solution:
Let the speed of the current be = x km/h
Then,
Downstream speed = (9 + x) km/h
Upstream speed = (9 - x) km/h
According to the question:
(9 + x) = 2(9 - x)
⇒ 9 + x = 18 - 2x
⇒ 2x + x = 18 - 9
⇒ 3x = 9
⇒ x = 9/3
⇒ x = 3
∴ Speed of the stream = 3 km/h
0
Updated: 1 day ago
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?
Created: 1 month ago
A
4 years
B
5 years
C
6 years
D
8 years
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
