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When 40% of a number E is added to another number R, B becomes 125% of its previous value. Then which of the following is true regarding the values of E and R?
- a)E > R
- b)R > E
- c)Either (a) or (b) can be true depending upon the values of E and R
- d)R = E
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When 40% of a number E is added to another number R, B becomes 125% ...
Given information:
- 40% of a number E is added to another number R
- B becomes 125% of its previous value
To find: Possible relationship between E and R
Solution:
Let's assume the initial value of B as x.
According to the given information, we can write:
- 40% of E + R = B + 0.25x (as B becomes 125% of its previous value, i.e., 1.25x)
- Simplifying the above equation, we get: 40% of E + R = 1.25x
Now, let's consider two cases:
Case 1: E > R
- If E > R, then 40% of E will be greater than 40% of R
- Therefore, we can say that 40% of E + R will be greater than 40% of R + R = 1.4R
- So, we can write: 40% of E + R > 1.4R
- Multiplying both sides by 1.25, we get: 50% of E + 1.25R > 1.75R
- Simplifying the above equation, we get: 50% of E > 0.5R
- As E > R, we can say that 50% of E will be greater than 50% of R
- Therefore, we can say that option (a) is not true for any values of E and R
Case 2: R > E
- If R > E, then R + 40% of E will be greater than R + 40% of R = 1.4R
- Therefore, we can write: R + 40% of E > 1.4R
- Multiplying both sides by 1.25, we get: 1.25R + 50% of E > 1.75R
- Simplifying the above equation, we get: 50% of E > 0.5R
- As R > E, we can say that 50% of R will be greater than 50% of E
- Therefore, we can say that option (b) is not true for any values of E and R
Conclusion:
- From the above analysis, we can say that either option (a) or option (b) can be true depending upon the values of E and R
- Therefore, option (c) is the correct answer.
- 40% of a number E is added to another number R
- B becomes 125% of its previous value
To find: Possible relationship between E and R
Solution:
Let's assume the initial value of B as x.
According to the given information, we can write:
- 40% of E + R = B + 0.25x (as B becomes 125% of its previous value, i.e., 1.25x)
- Simplifying the above equation, we get: 40% of E + R = 1.25x
Now, let's consider two cases:
Case 1: E > R
- If E > R, then 40% of E will be greater than 40% of R
- Therefore, we can say that 40% of E + R will be greater than 40% of R + R = 1.4R
- So, we can write: 40% of E + R > 1.4R
- Multiplying both sides by 1.25, we get: 50% of E + 1.25R > 1.75R
- Simplifying the above equation, we get: 50% of E > 0.5R
- As E > R, we can say that 50% of E will be greater than 50% of R
- Therefore, we can say that option (a) is not true for any values of E and R
Case 2: R > E
- If R > E, then R + 40% of E will be greater than R + 40% of R = 1.4R
- Therefore, we can write: R + 40% of E > 1.4R
- Multiplying both sides by 1.25, we get: 1.25R + 50% of E > 1.75R
- Simplifying the above equation, we get: 50% of E > 0.5R
- As R > E, we can say that 50% of R will be greater than 50% of E
- Therefore, we can say that option (b) is not true for any values of E and R
Conclusion:
- From the above analysis, we can say that either option (a) or option (b) can be true depending upon the values of E and R
- Therefore, option (c) is the correct answer.
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Community Answer
When 40% of a number E is added to another number R, B becomes 125% ...
R + 40% of E = 125% of R 40% of E = 25% of R.
i.e. 0.4E = 0.25R -> E / R = 5 / 8
Apparently, it seems that R is bigger, but if you consider E and R to be negative the opposite would be true.
Hence, option (c) is correct.
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When 40% of a number E is added to another number R, B becomes 125% of its previous value. Then which of the following is true regarding the values of E and R?a) E > Rb) R > Ec) Either (a) or (b) can be true depending upon the values of E and Rd) R = ECorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about When 40% of a number E is added to another number R, B becomes 125% of its previous value. Then which of the following is true regarding the values of E and R?a) E > Rb) R > Ec) Either (a) or (b) can be true depending upon the values of E and Rd) R = ECorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 40% of a number E is added to another number R, B becomes 125% of its previous value. Then which of the following is true regarding the values of E and R?a) E > Rb) R > Ec) Either (a) or (b) can be true depending upon the values of E and Rd) R = ECorrect answer is option 'C'. Can you explain this answer?.
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