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The ratio of the ages of A, B and C is 5 : 3 : 5 respectively. The age of A is what percentage of the combined age of B and C?
- a)37.50
- b)40
- c)48
- d)62.50
Correct answer is option 'D'. Can you explain this answer?
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The ratio of the ages of A, B and C is 5 : 3 : 5 respectively. The age...
Hence, Option D is correct.
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The ratio of the ages of A, B and C is 5 : 3 : 5 respectively. The age...
Understanding the Age Ratio
The ages of A, B, and C are given in the ratio of 5:3:5. This means:
- A's age = 5x
- B's age = 3x
- C's age = 5x
Here, 'x' is a common multiplier.
Calculating the Combined Age of B and C
To find the combined age of B and C:
- B's age + C's age = 3x + 5x = 8x
Finding the Percentage of A's Age to B and C's Combined Age
Now, we need to find what percentage A's age is of the combined age of B and C:
- A's age = 5x
- Combined age of B and C = 8x
The percentage is calculated using the formula:
\[
\text{Percentage} = \left(\frac{\text{A's age}}{\text{Combined age of B and C}}\right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left(\frac{5x}{8x}\right) \times 100
\]
The 'x' cancels out:
\[
\text{Percentage} = \left(\frac{5}{8}\right) \times 100 = 62.5\%
\]
Conclusion
Thus, the age of A is **62.50%** of the combined age of B and C. Therefore, the correct answer is option **D**.
The ages of A, B, and C are given in the ratio of 5:3:5. This means:
- A's age = 5x
- B's age = 3x
- C's age = 5x
Here, 'x' is a common multiplier.
Calculating the Combined Age of B and C
To find the combined age of B and C:
- B's age + C's age = 3x + 5x = 8x
Finding the Percentage of A's Age to B and C's Combined Age
Now, we need to find what percentage A's age is of the combined age of B and C:
- A's age = 5x
- Combined age of B and C = 8x
The percentage is calculated using the formula:
\[
\text{Percentage} = \left(\frac{\text{A's age}}{\text{Combined age of B and C}}\right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left(\frac{5x}{8x}\right) \times 100
\]
The 'x' cancels out:
\[
\text{Percentage} = \left(\frac{5}{8}\right) \times 100 = 62.5\%
\]
Conclusion
Thus, the age of A is **62.50%** of the combined age of B and C. Therefore, the correct answer is option **D**.
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The ratio of the ages of A, B and C is 5 : 3 : 5 respectively. The age of A is what percentage of the combined age of B and C?a)37.50b)40c)48d)62.50Correct answer is option 'D'. Can you explain this answer?
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