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
5 : 9
B
12 : 17
C
11 : 15
D
20 : 9
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 month ago
The ratio of
milk and water in a solution is 7 : 4. After adding 8 liters of water, the
ratio of milk and water becomes 3 : 2. Find the final amount of water in the
solution.
Created: 1 month ago
A
48 liters
B
54 liters
C
56 liters
D
60 liters
Question: The ratio of milk and water in a solution is 7 :
4. After adding 8 liters of water, the ratio of milk and water becomes 3 : 2.
Find the final amount of water in the solution.
Solution:
Let the initial amount of milk = 7x liters
Let the initial amount of water = 4x liters
According to the question,
7x/(4x + 8) = 3/2
⇒
2 × 7x = 3 ×
(4x + 8)
⇒
14x = 12x + 24
⇒
14x - 12x = 24
⇒
2x = 24
⇒
x = 12
∴ Final amount of water = 4x + 8
= 4 × 12 + 8
= 48 + 8 = 56 liters
0
Updated: 1 week ago
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?
Created: 1 month ago
A
Tk. 60
B
Tk. 80
C
Tk. 70
D
Tk. 100
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: 1 month ago
In how many years will Tk. 750 amount to Tk. 900 at 4% simple interest per annum?
Created: 1 month ago
A
3.5 years
B
3 years
C
4.5 years
D
5 years
Question: In how many years will Tk. 750 amount to Tk. 900
at 4% simple interest per annum?
Solution:
Simple Interest = Amount - Principal
= 900 - 750
= 150
Here,
Principal, P = 750
Interest Rate, R = 4%
SI = 150
Time, T = ?
SI = PRT/100
⇒ T = (SI × 100)/(P × R)
= (150 × 100)/(750 × 4)
= 15000/3000
= 5 years
0
Updated: 1 month ago
