At what rate of compound interest per annum will a sum of Tk. 5000 become Tk. 7200 in 2 years?
A
5%
B
10%
C
15%
D
20%
উত্তরের বিবরণ
সমাধান:
দেওয়া আছে,
মূলধন (Principal), P = 5000 টাকা
চক্রবৃদ্ধি মূল (Compound Amount), C = 7200 টাকা
সময় (Time), n = 2 বছর
মুনাফার হার (Rate), r = ?
আমরা জানি,
চক্রবৃদ্ধি মূল, C = P(1 + r/100)n
⇒ 7200 = 5000(1 + r/100)2
⇒ (1 + r/100)2 = 7200/5000
⇒ (1 + r/100)2 = 72/50
⇒ (1 + r/100)2 = 36/25
⇒ (1 + r/100) = 6/5
⇒ (100 + r)/100 = 6/5
⇒ (100 + r) = 600/5
⇒ r = 120 - 100
∴ r = 20
সুতরাং, বার্ষিক চক্রবৃদ্ধি সুদের হার 20%।
0
Updated: 1 month ago
A sum of money triples itself in 25 years at simple interest. What is the annual interest rate?
Created: 1 month ago
A
5%
B
8%
C
10%
D
12%
ধরি, আসল = P টাকা
∴ 25 বছরে সুদে-আসলে হয় (A) = 3P টাকা
সুতরাং, সুদ (I) = A - P = 3P - P = 2P টাকা
সময় (n) = 25 বছর
সুদের হার (r) = ?
আমরা জানি,
I = (Pnr)/100
⇒ r = (I × 100)/(P × n)
⇒ r = (2P × 100)/(P × 25)
⇒ r = (2 × 100)/25
⇒ r = 2 × 4
⇒ r = 8%
সুতরাং, বার্ষিক সুদের হার 8%।
0
Updated: 1 month ago
The simple interest on a certain sum at 6% p.a. is Tk. 360 in 1 year. What will be the additional interest earned in 1 year if the rate increases to 7% p.a. on the same sum?
Created: 3 months ago
A
Tk. 60
B
Tk. 80
C
Tk. 70
D
Tk. 100
Solution:
Given,
Interest at 6% for 1 year:
Simple Interest, SI1 = Tk. 360
Interest rate, R = 6%
Time, T = 1 year (initial)
We know,
SI1 = PRT/100
⇒ 360 = (P × 6 × 1)/100
⇒ P = (360 × 100)/6
∴ P = Tk. 6000
So, the original sum (principal) is Tk. 6000.
Now,
Interest at 7% for 1 year:
SI2 = PRT/100
⇒ SI2 = (6000 × 7 × 1)/100
⇒ SI2 = Tk. 420
Additional interest = SI2 - SII
= 420 - 360
= Tk. 60
0
Updated: 3 months ago
Aysha and Jara started a business by investing Tk. 85000 and Tk. 15000 each. What be will the ratio of profit earned after 2 years between Aysha and Jara respectively?
Created: 1 month ago
A
9 : 8
B
17 : 5
C
5 : 4
D
17 : 3
Question: Aysha and Jara started a business by investing Tk. 85000 and Tk. 15000 each. What be will the ratio of profit earned after 2 years between Aysha and Jara respectively?
Solution:
Given,
Aysha's investment = Tk. 85,000
Jara's investment = Tk. 15,000
Time = 2 years for both
The ratio of profit earned after 2 years between Aysha and Jara respectively = (85000 × 2) : (15000 × 2)
= 170000 : 30000
= 17 : 3
0
Updated: 1 month ago
