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?
A
Tk. 40
B
Tk. 60
C
Tk. 70
D
Tk. 50
উত্তরের বিবরণ
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
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: 8 hours 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: 8 hours ago
At what rate of compound interest per annum will a sum of Tk. 1600 becomes Tk. 2304 in 2 years?
Created: 8 hours ago
A
20%
B
15%
C
12%
D
30%
Question: At what rate of compound interest per annum will a
sum of Tk. 1600 becomes Tk. 2304 in 2 years?
Solution:
Principal, P = 1600 টাকা
Amount, A = 2304 টাকা
Time, n = 2 years
Rate, r = ?
We know,
A = P × (1 + r/100)n
⇒
2304 = 1600 × (1 + r/100)2
⇒
(1 + r/100)2 = 2304/1600
⇒
(1 + r/100) = 48/40 [উভয়পাশে
বর্গমূল করে]
⇒
1 + r/100 = 6/5
⇒
r/100 = 6/5 - 1
⇒
r/100 = (6 - 5)/5
⇒
r/100 = 1/5
⇒
r = 100/5
∴
r = 20
∴ Interest rate 20%
0
Updated: 8 hours ago
A mixture contains copper, zinc, and tin in the ratio 2 : 3 : 5. If the total weight of the mixture is 50 grams, how many grams of tin are there in the mixture?
Created: 8 hours ago
A
20 grams
B
15 grams
C
10 grams
D
25 grams
Question: A mixture contains copper, zinc, and tin in the
ratio 2 : 3 : 5. If the total weight of the mixture is 50 grams, how many grams
of tin are there in the mixture?
Solution:
Given,
Copper : Zinc : Tin = 2 : 3 : 5
Total parts = 2 + 3 + 5 = 10
Weight of tin = (5/10) × 50 = 25 grams
0
Updated: 8 hours ago
