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 month ago
Find the rate of discount being given on a shirt whose selling price is Tk. 420 after deducting a discount of Tk. 80 on its marked price.
Created: 1 month ago
A
12%
B
8%
C
16%
D
10%
Question: Find the rate of discount being given on a shirt whose selling price is Tk. 420 after deducting a discount of Tk. 80 on its marked price.
Solution:
দেওয়া আছে,
বিক্রয়মূল্য = 420 টাকা
কমিশন = 80 টাকা
∴ গায়ে লিখা দাম = (420 + 80) টাকা
= 500 টাকা
500 টাকায় কমিশন দেয় 80 টাকা
∴ 1 টাকায় কমিশন দেয় 80/500 টাকা
∴ 100 টাকায় কমিশন দেয় (80 × 100)/500 টাকা
= 16 টাকা
0
Updated: 1 month ago
A 42-liter mixture contains milk and water in a 3 : 4 ratio. How much milk should be added to the mixture to make the ratio equal?
Created: 1 month ago
A
7 liters
B
4 liters
C
6 liters
D
8 liters
Question: A 42-liter mixture contains milk and water in a 3 : 4 ratio. How much milk should be added to the mixture to make the ratio equal?
Solution:
The ratio of milk to water is 3 : 4
Total portion = 3 + 4 = 7
Quantity of milk = 42 × (3/7) = 18 liters.
Quantity of water = 42 × (4/7) = 24 liters.
Let,
Quantity of milk to be added = x liters
According to the question,
(18 + x) : 24 = 1 : 1
⇒ (18 + x)/24 = 1/1
⇒ 18 + x = 24
⇒ x = 24 - 18
⇒ x = 6
∴ Quantity of milk to be added = 6 liters
0
Updated: 1 month ago
At what rate of compound interest per annum will a sum of Tk. 1600 becomes Tk. 2304 in 2 years?
Created: 3 months ago
A
20%
B
15%
C
12%
D
30%
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: 3 months ago
