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?
A
Tk. 280
B
Tk. 300
C
Tk. 320
D
Tk. 340
উত্তরের বিবরণ
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
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: 8 hours 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: 8 hours ago
The simple interest on a sum of money is Tk. 720 in 12 years. If the principal is doubled after 6 years, what will be the total interest at the end of 12 years?
Created: 8 hours ago
A
Tk. 720
B
Tk. 900
C
Tk. 1480
D
Tk. 1080
Question: The simple interest on a sum of money is Tk. 720
in 12 years. If the principal is doubled after 6 years, what will be the total
interest at the end of 12 years?
Solution:
সরল সুদ সময়ের সাথে
সমানভাবে অর্জিত হয়। যদি 12 বছরে
720 টাকা সুদ পাওয়া যায়,
তাহলে 6 বছরে (অর্থাৎ অর্ধেক সময়ে) মোট সুদের অর্ধেক
পাওয়া যাবে।
∴ প্রথম
6 বছরের সুদ = মোট সুদের অর্ধেক
= 720/2 = 360 টাকা
পরবর্তী
6 বছরে মূলধন দ্বিগুণ করা হলে, সুদও
দ্বিগুণ হবে।
∴
পরবর্তী 6 বছরের সুদ = 360 × 2 = 720 টাকা
∴ মোট
সুদ = প্রথম 6 বছরের সুদ + পরবর্তী 6 বছরের সুদ
= 360 + 720 = 1080 টাকা
0
Updated: 8 hours 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: 8 hours 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: 8 hours ago
