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There are two numbers. When 25% of the first number is added to the second number, the resultant number is 1.5times th first number.What is the ratio of 1st number to the 2nd number ?
- a)3:5
- b)5:4
- c)4:5
- d)2:3
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
There are two numbers. When 25% of the first number is added to the se...
Answer – C.4:5 Explanation : A+25/100 + B = 1.5A
A/4 + B = 15A/10
10A+40B/40 =60A/40
10A+40B = 60A
50A = 40B
A/B = 4/5
A/4 + B = 15A/10
10A+40B/40 =60A/40
10A+40B = 60A
50A = 40B
A/B = 4/5
Most Upvoted Answer
There are two numbers. When 25% of the first number is added to the se...
Given:
Let the two numbers be x and y.
25% of x added to y gives 1.5x.
Solution:
We can form an equation based on the given information.
y + 0.25x = 1.5x
Simplifying the equation, we get
y = 1.5x - 0.25x
y = 1.25x
We can see that the second number is 1.25 times the first number.
Therefore, the ratio of the first number to the second number is:
x:y = 1:1.25
Multiplying both sides by 4, we get:
4x:5y = 4:5
Hence, the ratio of the first number to the second number is 4:5.
Therefore, option C is the correct answer.
Note: We could also solve the problem by assuming a value for the first number and then finding the second number using the given information. However, the above method is more general and works for any values of x and y.
Let the two numbers be x and y.
25% of x added to y gives 1.5x.
Solution:
We can form an equation based on the given information.
y + 0.25x = 1.5x
Simplifying the equation, we get
y = 1.5x - 0.25x
y = 1.25x
We can see that the second number is 1.25 times the first number.
Therefore, the ratio of the first number to the second number is:
x:y = 1:1.25
Multiplying both sides by 4, we get:
4x:5y = 4:5
Hence, the ratio of the first number to the second number is 4:5.
Therefore, option C is the correct answer.
Note: We could also solve the problem by assuming a value for the first number and then finding the second number using the given information. However, the above method is more general and works for any values of x and y.
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Community Answer
There are two numbers. When 25% of the first number is added to the se...
Answer – C.4:5 Explanation : A+25/100 + B = 1.5A
A/4 + B = 15A/10
10A+40B/40 =60A/40
10A+40B = 60A
50A = 40B
A/B = 4/5
A/4 + B = 15A/10
10A+40B/40 =60A/40
10A+40B = 60A
50A = 40B
A/B = 4/5
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