If 2/3 of X = 75% of Y = 0.4 of Z, then find the ratio X : Y : Z.
A
9 : 8 : 15
B
8 : 10 : 17
C
16 : 7 : 21
D
9 : 13 : 17
উত্তরের বিবরণ
Question: If 2/3 of X = 75% of Y = 0.4 of Z, then find the
ratio X : Y : Z.
Solution:
According to the question,
(2/3) × X = 75% of Y
⇒
2X/3 = 75Y/100
⇒
2X/3 = 3Y/4
⇒
X/Y = 9/8
Now,
75% of Y = 0.4 of Z
⇒(75Y/100)
= (2Z/5)
⇒
(3Y/4) = (2Z/5)
⇒
15Y = 8Z
⇒
Y/Z = 8/15
X : Y : Z = (9/8) : 1 : (15/8)
Multiply all terms by 8:
X = 9 × 1 = 9
Y = 1 × 8 = 8
Z = (15/8) × 8 = 15
Therefore,
X : Y : Z = 9 : 8 : 15
0
Updated: 1 month ago
At what rate of compound interest per annum will a sum of Tk. 1600 becomes Tk. 2304 in 2 years?
Created: 1 month ago
A
20%
B
15%
C
12%
D
30%
Question: At what rate of compound interest per annum will a
sum of Tk. 1600 becomes Tk. 2304 in 2 years?
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: 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
A mixture contains copper, zinc, and tin in the ratio 2 : 3 : 5. If the total weight of the mixture is 50 grams, how many grams of tin are there in the mixture?
Created: 1 month ago
A
20 grams
B
15 grams
C
10 grams
D
25 grams
Question: A mixture contains copper, zinc, and tin in the
ratio 2 : 3 : 5. If the total weight of the mixture is 50 grams, how many grams
of tin are there in the mixture?
Solution:
Given,
Copper : Zinc : Tin = 2 : 3 : 5
Total parts = 2 + 3 + 5 = 10
Weight of tin = (5/10) × 50 = 25 grams
0
Updated: 1 month ago
