Tk. 1,000 becomes Tk. 1,200 in 4 years at a certain rate of simple interest. If the rate of interest is increased by 2%, what amount will Tk. 1,000 become in 4 years?
A
Tk. 1240
B
Tk. 1280
C
Tk. 1300
D
Tk. 1340
উত্তরের বিবরণ
Question: Tk. 1,000 becomes Tk. 1,200 in 4 years at a
certain rate of simple interest. If the rate of interest is increased by 2%,
what amount will Tk. 1,000 become in 4 years?
Solution:
Principal, P = 1000
Interest, I = 1,200 - 1,000 = 200
Time, T = 4 years
SI = PRT/100
⇒
R = (SI × 100)/(P × n)
⇒
R = (200 × 100)/(1000 × 4)
⇒
R = 20000/4000
⇒ R = 5
∴ Interest rate, R = 5%
∴ New Interest rate = 5% + 2% = 7%
New interest at 7% for 4 years:
New interest = (1,000 × 7 × 4)/100
= (28,000)/100
= 280 Tk.
New amount = Principal + Interest
= 1,000 + 280
= Tk. 1,280
0
Updated: 8 hours 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: 8 hours ago
A
4 years
B
5 years
C
6 years
D
8 years
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: 8 hours ago
What is the difference between simple and compound interest at 10% per annum on a sum of Tk. 5,000 at the end of 2 years?
Created: 8 hours ago
A
Tk. 40
B
Tk. 60
C
Tk. 70
D
Tk. 50
Question: What is the difference between simple
and compound interest at 10% per annum on a sum of Tk. 5,000 at the end of 2
years?
Solution:
Principal (P) = Tk. 5,000
Rate (R) = 10% per annum
Time (T) = 2 years
Simple Interest (SI):
SI = (P × R × T)/100
= (5000 × 10 × 2) / 100
= 100000/100
= Tk. 1000
Compound Interest (CI):
Amount (A) = P × (1 + R/100)T
= 5000 × (1 + 10/100)2
= 5000 × (1.1)2
= 5000 × 1.21
= Tk. 6050
∴ CI = A - P = 6050 - 5000
= Tk. 1050
∴ Difference between CI and SI = 1050 - 1000
= Tk. 50
0
Updated: 8 hours ago
A certain principal amount, invested at simple interest, grows to Tk. 815 after 3 years and Tk. 854 after 4 years. What is the original principal amount?
Created: 8 hours ago
A
Tk. 658
B
Tk. 612
C
Tk. 698
D
Tk. 710
Question: A certain principal amount, invested at simple
interest, grows to Tk. 815 after 3 years and Tk. 854 after 4 years. What is the
original principal amount?
Solution:
Given,
Amount after 3 years = Tk. 815
Amount after 4 years = Tk. 854
∴
Interest for 1 year = 854 - 815 = Tk. 39
∴
Interest for 3 years = 39 × 3 = Tk.
117
∴
Principal = 815 - 117 = Tk. 698
0
Updated: 8 hours ago
