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125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?
- a)64, 100, 400
- b)128, 200, 800
- c)32, 50, 200
- d)16, 25, 100
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75%...
⇒ Given, (75/100) × C = 300
∴ C = 300 × (100/75) = 400
⇒ 160% of B is equal to 40% of C.
∴ (160/100) × B = 40/100 × C
∴ B = (40/100) × (100/160) × 400 = 100
⇒ 125% of number A is equal to 80% of number B.
∴ (125/100) × A = (80/100) × B
∴ A = (80/100) × (100/125) × 100 = 64
∴ C = 300 × (100/75) = 400
⇒ 160% of B is equal to 40% of C.
∴ (160/100) × B = 40/100 × C
∴ B = (40/100) × (100/160) × 400 = 100
⇒ 125% of number A is equal to 80% of number B.
∴ (125/100) × A = (80/100) × B
∴ A = (80/100) × (100/125) × 100 = 64
Most Upvoted Answer
125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75%...
Understanding the Problem
We have three variables: A, B, and C, with the following relationships:
1. 125% of A = 80% of B
2. 160% of B = 40% of C
3. 75% of C = 300
Step 1: Finding C
From the equation 75% of C = 300:
- C = 300 / 0.75
- C = 400
Step 2: Finding B
Next, we use the second equation:
- 160% of B = 40% of C
- 1.6B = 0.4C
- Substituting C = 400:
- 1.6B = 0.4 * 400
- 1.6B = 160
- B = 160 / 1.6
- B = 100
Step 3: Finding A
Now, we apply the first equation:
- 125% of A = 80% of B
- 1.25A = 0.8B
- Substituting B = 100:
- 1.25A = 0.8 * 100
- 1.25A = 80
- A = 80 / 1.25
- A = 64
Final Values
Thus, the values of A, B, and C are:
- A = 64
- B = 100
- C = 400
Conclusion
The correct values are A = 64, B = 100, and C = 400, matching option 'A'.
We have three variables: A, B, and C, with the following relationships:
1. 125% of A = 80% of B
2. 160% of B = 40% of C
3. 75% of C = 300
Step 1: Finding C
From the equation 75% of C = 300:
- C = 300 / 0.75
- C = 400
Step 2: Finding B
Next, we use the second equation:
- 160% of B = 40% of C
- 1.6B = 0.4C
- Substituting C = 400:
- 1.6B = 0.4 * 400
- 1.6B = 160
- B = 160 / 1.6
- B = 100
Step 3: Finding A
Now, we apply the first equation:
- 125% of A = 80% of B
- 1.25A = 0.8B
- Substituting B = 100:
- 1.25A = 0.8 * 100
- 1.25A = 80
- A = 80 / 1.25
- A = 64
Final Values
Thus, the values of A, B, and C are:
- A = 64
- B = 100
- C = 400
Conclusion
The correct values are A = 64, B = 100, and C = 400, matching option 'A'.
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125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer?
Question Description
125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer? for SSC 2025 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer?.
125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer? for SSC 2025 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer?.
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125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 125% of A is equal to 80% of B. 160% of B is equal to 40% of C. If 75% of C is equal to 300, what is the value of A, B and C respectively?a)64, 100, 400b)128, 200, 800c)32, 50, 200d)16, 25, 100Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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