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?
A
Tk. 60
B
Tk. 80
C
Tk. 70
D
Tk. 100
উত্তরের বিবরণ
Question: 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?
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: 8 hours ago
A man bought some sugar and salt for Tk. 440. The ratio of the weights of sugar and salt is 5 : 2, and the price per unit weight of sugar and salt is in the ratio 6 : 7. What is the price of the total sugar?
Created: 8 hours ago
A
Tk. 280
B
Tk. 300
C
Tk. 320
D
Tk. 340
Question: A man bought some sugar and salt for Tk. 440. The
ratio of the weights of sugar and salt is 5 : 2, and the price per unit weight
of sugar and salt is in the ratio 6 : 7. What is the price of the total sugar?
Solution:
Given,
Weight ratio (Sugar : Salt) = 5 : 2
Price ratio per unit weight (Sugar : Salt) = 6 : 7
Total price ratio of sugar and salt = (Weight × Price per unit)
= 5 × 6 : 2 × 7
= 30 : 14
= 15 : 7
Total units = 15 + 7 = 22 units
Accordint to the question,
22 units = Tk. 440
⇒
1 unit = 440/22
∴
1 unit= Tk. 20
∴ Price of total sugar = 15 × 20
= Tk. 300
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 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: 8 hours ago
A
2 years
B
4 years
C
3 years
D
5 years
Question: 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?
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: 8 hours ago
