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?
A
4 years
B
5 years
C
6 years
D
8 years
উত্তরের বিবরণ
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: 4 weeks ago
বার্ষিক ৮% সরল সুদে ৫০০০ টাকার ৩ বছরের সুদ কত টাকা?
Created: 3 days ago
A
১০০০ টাকা
B
১১২০ টাকা
C
১২০০ টাকা
D
১৬৮০ টাকা
প্রশ্ন: বার্ষিক ৮% সরল সুদে ৫০০০ টাকার ৩ বছরের সুদ কত টাকা?
সমাধান:
দেওয়া আছে,
মূলধন, P = ৫০০০ টাকা
সময়, n = ৩ বছর
সুদের হার, r = ৮ %
আমরা জানি,
সরল সুদ = Pnr /১০০
= (৫০০০ × ৩ × ৮)/১০০
= ৫০ × ৩ × ৮
= ১২০০
অর্থাৎ সুদের পরিমাণ = ১২০০ টাকা
0
Updated: 3 days ago
At what rate of compound interest per annum will a sum of Tk. 1600 becomes Tk. 2304 in 2 years?
Created: 4 weeks 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: 4 weeks ago
A bank offers 5% compound interest calculated half-yearly. A customer deposits Tk. 1600 on 1st January and another Tk. 1600 on 1st July of the same year. How much interest will he earn at the end of the year?
Created: 4 weeks ago
A
Tk. 129
B
Tk. 121
C
Tk. 118
D
Tk. 132
Solution:
Here,
Half-yearly interest rate = 5% ÷ 2 = (5/2)%
Now,
The first deposit of Tk. 1600 was made on 1st January.
It stays for 12 months, so it earns interest twice, once after 6 months, and again after 12 months.
So, it earns interest for 2 times (i.e., 2 half-years).
∴ A1 = P(1 + r/100)n
= 1600 × {1 + 5/(2 × 100)}2
= 1600 × {1 + (1/40)}2
= 1600 × (41/40) × (41/40)
= 1600 × 1681/1600
= 1681
Now,
The second deposit of Tk. 1600 was made on 1st July.
It stays for 6 months, so it earns interest only once (1 half-year).
∴ A2 = P(1 + r/100)n
= 1600 × (1 + 1/40)1
= 1600 × (41/40)
= 1640
Total amount = 1681 + 1640 = 3321
Total money deposited = 1600 + 1600 = 3200
∴Interest earned = 3321 - 3200 = Tk. 121
∴ The customer would have gained Tk. 121 by way of interest.
0
Updated: 4 weeks ago
