The compound interest on a certain sum for 2 years at 5% per annum is Tk. 820. The simple interest on the same sum for half the time at double the rate percent per annum is:
A
Tk. 720
B
Tk. 750
C
Tk. 800
D
Tk. 860
উত্তরের বিবরণ
দেওয়া আছে,
চক্রবৃদ্ধি সুদ (CI) = 820 টাকা
সময় (n) = 2 বছর
সুদের হার (r) = 5%
আমরা জানি,
CI = P(1 + r/100)n - P
820 = P(1 + 5/100)2 - P
⇒ 820 = P(1.05)2 - P
⇒ 820 = 1.1025P - P
⇒ 820 = 0.1025P
⇒ P = 820/0.1025
⇒ P = 8000 টাকা
এখন,
আসল (P) = 8000 টাকা
সময় (n) = অর্ধেক সময় = 2 ÷ 2 = 1 বছর
সুদের হার (r) = দ্বিগুণ সুদের হার = 5% × 2 = 10%
আমরা জানি,
SI = (P × r × n)/100
= (8000 × 10 × 1)/100
= (80000)/100
= 800 টাকা
∴ নির্ণেয় সরল সুদ হলো 800 টাকা।
0
Updated: 22 hours 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
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
Find the simple interest on BDT 12000 at 8% per annum for 6 months.
Created: 6 days ago
A
Tk. 480
B
Tk. 560
C
Tk. 400
D
Tk. 420
Question: Find the simple interest on BDT 12000 at 8% per annum for 6 months.
Solution:
Principal, P = 12000 Taka
Time, n = 6 months = 6/12 = 1/2 years
Rate of interest, r = 8% = 8/100
Simple Interest, I = P × n × r
= 12000 × (1/2) × (8/100)
= (12000 × 1 × 8)/(2 × 100)
= 96000/200
= 480
∴ The simple interest is Tk. 480.
0
Updated: 6 days ago
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?
Created: 6 days ago
A
Tk. 120
B
Tk. 90
C
Tk. 60
D
Tk. 75
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: 6 days ago
