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?
A
20 : 9
B
45 : 28
C
12 : 7
D
6 : 5
উত্তরের বিবরণ
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: 1 day ago
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?
Created: 1 month ago
A
Tk. 1240
B
Tk. 1280
C
Tk. 1300
D
Tk. 1340
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: 1 month ago
What is the compound amount of Tk. 4000 for 2 years at a rate of interest 5% per annum?
Created: 1 day ago
A
Tk. 5200
B
Tk. 4520
C
Tk. 4410
D
Tk. 3810
Question: What is the compound amount of Tk. 4000 for 2 years at a rate of interest 5% per annum?
Solution:
Given,
Principal, P = 4000
Rate, r = 5% = 5/100 = 1/20
Time, n = 2 years
We know,
A = P(1 + r)n
= 4000 × (1 + 1/20)2
= 4000 × (21/20)2
= (4000 × 21 × 21)/(20 × 20)
= (4000 × 441)/400
= 4410
∴ The compound amount is Tk. 4410.
0
Updated: 1 day ago
বার্ষিক ১০% মুনাফায় ৮০০ টাকার ২ বছরের চক্রবৃদ্ধি মূলধন কত?
Created: 1 week ago
A
৯৪০ টাকা
B
৯৬০ টাকা
C
৯৬৮ টাকা
D
৯৮০ টাকা
প্রশ্ন: বার্ষিক ১০% মুনাফায় ৮০০ টাকার ২ বছরের চক্রবৃদ্ধি মূলধন কত?
সমাধান:
এখানে,
মূলধন, p = ৮০০ টাকা
মুনাফায় হার, r = ১০% = ১০/১০০
সময়, n = ২ বছর
∴ চক্রবৃদ্ধি মূলধন, c = p(১ + r)n
= ৮০০(১ + ১০/১০০)২
= ৮০০ × (১১০/১০০)২
= ৯৬৮ টাকা
0
Updated: 1 week ago
