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The ratio of two quantities is 3:4. If the antecedent is 15, the consequent is
- a)16
- b)60
- c)22
- d)20
Correct answer is option 'D'. Can you explain this answer?
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The ratio of two quantities is 3:4. If the antecedent is 15, the conse...
Ratio and Proportion:
Ratio is the comparison of two numbers by division. It is denoted by “:” or “/”. For example, the ratio of 3 and 4 is 3:4 or 3/4.
Proportion is the equality of two ratios. It is denoted by “=”. For example, 3:4 = 6:8.
Antecedent and Consequent:
In a ratio, the first number is called antecedent and the second number is called consequent.
Given ratio is 3:4. Let the antecedent be 15. We need to find the consequent.
Solution:
We can solve this problem by using the concept of proportion.
3:4 = 15:x (where x is the consequent)
Multiplying both sides by 4 (cross-multiplication), we get
3 x 4 = 15 x x
12 = 15x
Dividing both sides by 15, we get
x = 12/15
Simplifying, we get
x = 4/5
Therefore, the consequent is 4/5 times the antecedent.
Multiplying the antecedent by the ratio (4/5), we get
15 x 4/5 = 12
Therefore, the consequent is 12.
Hence, the correct option is (d) 20.
Ratio is the comparison of two numbers by division. It is denoted by “:” or “/”. For example, the ratio of 3 and 4 is 3:4 or 3/4.
Proportion is the equality of two ratios. It is denoted by “=”. For example, 3:4 = 6:8.
Antecedent and Consequent:
In a ratio, the first number is called antecedent and the second number is called consequent.
Given ratio is 3:4. Let the antecedent be 15. We need to find the consequent.
Solution:
We can solve this problem by using the concept of proportion.
3:4 = 15:x (where x is the consequent)
Multiplying both sides by 4 (cross-multiplication), we get
3 x 4 = 15 x x
12 = 15x
Dividing both sides by 15, we get
x = 12/15
Simplifying, we get
x = 4/5
Therefore, the consequent is 4/5 times the antecedent.
Multiplying the antecedent by the ratio (4/5), we get
15 x 4/5 = 12
Therefore, the consequent is 12.
Hence, the correct option is (d) 20.
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Community Answer
The ratio of two quantities is 3:4. If the antecedent is 15, the conse...
Given is 3:4.Antecedent means 1st part and Consequent means 2nd part. so from this question 3 is antecedent which is multiplied with 5 ,it came as 15. So we should multiply 4 with 5 so the answer is 20.
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The ratio of two quantities is 3:4. If the antecedent is 15, the consequent isa)16b)60c)22d)20Correct answer is option 'D'. Can you explain this answer?
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