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If 20% of a = b, then b% of 20 is the same as:
- a)4% of a
- b)5% of a
- c)20% of a
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If 20% of a = b, then b% of 20 is the same as: a)4% of ab)5% of ac)20%...
20% of a = b => (20/100)a = b
b% of 20 =(b/100) x 20 = (20a/100) x (1/100) x (20) = 4a/100 = 4% of a.
Most Upvoted Answer
If 20% of a = b, then b% of 20 is the same as: a)4% of ab)5% of ac)20%...
Ya it is a,take some value as 100,then 20% of 100 is 20,so,b=20,then 20% of 20 is 4,since 10% is 2,so 4 is equal to 4% of a
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Community Answer
If 20% of a = b, then b% of 20 is the same as: a)4% of ab)5% of ac)20%...
**Solution:**
Let's break down the given information step by step.
Given: 20% of a = b
To find: b% of 20
**Step 1: Expressing 20% of a in terms of b**
We are given that 20% of a is equal to b. This can be written as:
(20/100) * a = b
**Step 2: Expressing b% of 20 in terms of a**
We need to find b% of 20. This can be written as:
(b/100) * 20
**Step 3: Substituting the value of b from Step 1 into Step 2**
Substituting the value of b from Step 1 into Step 2, we get:
[(20/100) * a / 100] * 20
Simplifying this expression further:
(20/100) * (20/100) * a
= (20 * 20 * a) / (100 * 100)
= (400 * a) / 10000
= 4a / 100
= 4% of a
Therefore, b% of 20 is equal to 4% of a.
**Conclusion:**
Hence, the correct answer is option 'A': 4% of a.
Let's break down the given information step by step.
Given: 20% of a = b
To find: b% of 20
**Step 1: Expressing 20% of a in terms of b**
We are given that 20% of a is equal to b. This can be written as:
(20/100) * a = b
**Step 2: Expressing b% of 20 in terms of a**
We need to find b% of 20. This can be written as:
(b/100) * 20
**Step 3: Substituting the value of b from Step 1 into Step 2**
Substituting the value of b from Step 1 into Step 2, we get:
[(20/100) * a / 100] * 20
Simplifying this expression further:
(20/100) * (20/100) * a
= (20 * 20 * a) / (100 * 100)
= (400 * a) / 10000
= 4a / 100
= 4% of a
Therefore, b% of 20 is equal to 4% of a.
**Conclusion:**
Hence, the correct answer is option 'A': 4% of a.
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If 20% of a = b, then b% of 20 is the same as: a)4% of ab)5% of ac)20% of ad) None of theseCorrect answer is option 'A'. Can you explain this answer?
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