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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?
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Most Upvoted 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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Community 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.
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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?
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