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
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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: 2 months ago
When 25% of the first number is added to the second number, the second number becomes 3/2 times the first number. What is the ratio of the first number to the second number?
Created: 1 week ago
A
5 : 6
B
4 : 5
C
3 : 4
D
1 : 3
Question: When 25% of the first number is added to the second number, the second number becomes 3/2 times the first number. What is the ratio of the first number to the second number?
Solution:
Let the first number = x
and the second number = y.
According to the question,
y + 25% of x = (3/2)x
⇒ y + (25/100)x = (3/2)x
⇒ y + (1/4)x = (3/2)x
⇒ y = (3/2)x - (1/4)x
⇒ y = (6 - 1)x/4
⇒ y = 5x/4
∴ y = 5x/4
Therefore, x : y = 4 : 5
0
Updated: 1 week ago
In a 500 m race, the speeds of two runners, A and B are in the ratio 5 : 6. If A is given a start of 100m, by how many meters does A win the race?
Created: 1 week ago
A
20 meters
B
40 meters
C
25 meters
D
60 meters
Question: In a 500 m race, the speeds of two runners, A and B are in the ratio 5 : 6. If A is given a start of 100m, by how many meters does A win the race?
Solution:
Total race length = 500 meters.
A is given a start of 100 meters, so A runs 500 - 100 = 400 meters.
Speed ratio A : B = 5 : 6.
Let, B runs = X meter
Therefore,
400/X = 5/6
⇒ X = (6 × 400)/5
∴ X = 480m
Remaining distance for B = 500 - 480 = 20 meters.
Therefore, A wins by 20 meters.
0
Updated: 1 week ago
A certain principal amount, invested at simple interest, grows to Tk. 815 after 3 years and Tk. 854 after 4 years. What is the original principal amount?
Created: 2 months ago
A
Tk. 658
B
Tk. 612
C
Tk. 698
D
Tk. 710
Solution:
Given,
Amount after 3 years = Tk. 815
Amount after 4 years = Tk. 854
∴ Interest for 1 year = 854 - 815 = Tk. 39
∴ Interest for 3 years = 39 × 3 = Tk. 117
∴ Principal = 815 - 117 = Tk. 698
0
Updated: 2 months ago
