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.
A
48 liters
B
54 liters
C
56 liters
D
60 liters
উত্তরের বিবরণ
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
What will be the total amount after 3 years if Tk. 1200 is invested at a simple interest rate of 5% annually?
Created: 1 month ago
A
Tk. 1380
B
Tk. 1320
C
Tk. 1430
D
Tk. 1560
Question: What will be the total amount after 3 years if Tk.
1200 is invested at a simple interest rate of 5% annually?
Solution:
Here,
Principal, P = Tk. 1200
Rate of Interest, r = 5% = 5/100
Time, n = 3 years
We know,
Simple Interest, I = P × n × r
I = 1200 × 3 × (5/100)
I = 1200 × 3 × 5/100
I = 3600 × 5/100
I = 180 Tk.
Now, the Amount after 3 years, A = P + I
A = 1200 + 180
A = 1380 Tk.
∴ The amount after 3 years will be Tk. 1380.
0
Updated: 1 month ago
What is the simple interest on BDT 15,000 at 8% per annum for 5 months?
Created: 1 month ago
A
Tk. 450
B
Tk. 500
C
Tk. 525
D
Tk. 600
Question: Find the simple interest on BDT 15,000 at 8% per
annum for 5 months.
Solution:
Principal, P = 15,000 Taka
Time, n = 5 months = 5/12 years
Rate of interest, r = 8% = 8/100
Simple Interest, I = P × n × r
= 15,000 × (5/12) × (8/100)
= (15,000 × 5 × 8)/(12 × 100)
= 600,000/1200
= 500
∴ The simple interest is Tk. 500.
0
Updated: 1 month ago
Two numbers are in the ratio 2 : 3. If 4 is subtracted from the first number, the ratio becomes 1 : 2. What are the numbers?
Created: 1 month ago
A
14, 21
B
16, 24
C
18, 27
D
20, 30
Question: Two numbers are in the ratio 2 : 3. If 4 is
subtracted from the first number, the ratio becomes 1 : 2. What are the
numbers?
Solution:
Let the two numbers be: 2x and 3x
According to the question,
(2x - 4)/3x = 1/2
⇒
2(2x - 4) = 3x
⇒
4x - 8 = 3x
⇒
x = 8
∴ First number = 2 × 8
= 16
∴
Second number = 3 × 8 = 24
0
Updated: 1 month ago
