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A’s income is reduced from Rs 75,000 to Rs 60,000, while B’s income for the same period is increased from Rs 60,000 to Rs 75,000. What percentage of decrease in A’s income is the increase in B ’s income?
  • a)
    125%
  • b)
    75%
  • c)
    133%
  • d)
    100%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A’s income is reduced from Rs 75,000 to Rs 60,000, while B’...
Decrease in A’s income = Rs 15000 Increase in B’s income = Rs 15000
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Most Upvoted Answer
A’s income is reduced from Rs 75,000 to Rs 60,000, while B’...
Given:
- A's income reduced from Rs 75,000 to Rs 60,000
- B's income increased from Rs 60,000 to Rs 75,000

To find: What percentage of decrease in A's income is the increase in B's income?

Solution:
1. Calculate the change in A's income:
- Initial income = Rs 75,000
- Final income = Rs 60,000
- Change = Initial - Final = Rs 75,000 - Rs 60,000 = Rs 15,000 (decrease)

2. Calculate the change in B's income:
- Initial income = Rs 60,000
- Final income = Rs 75,000
- Change = Final - Initial = Rs 75,000 - Rs 60,000 = Rs 15,000 (increase)

3. Calculate the percentage change in B's income:
- Percentage change = (Change/Initial) x 100
- Percentage change = (Rs 15,000/Rs 60,000) x 100 = 25%

4. Compare the percentage change in B's income with the percentage decrease in A's income:
- Percentage decrease in A's income = (15,000/75,000) x 100 = 20%
- The increase in B's income (25%) is equal to the percentage decrease in A's income (20%).

Therefore, the answer is option D) 100%.
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A’s income is reduced from Rs 75,000 to Rs 60,000, while B’s income for the same period is increased from Rs 60,000 to Rs 75,000. What percentage of decrease in A’s income is the increase in B ’s income?a)125%b)75%c)133%d)100%Correct answer is option 'D'. Can you explain this answer?
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