A man sold two chairs for Rs. 475 each, gaining 25% on one and losing 20% on the other. Had he sold the two chairs for Rs. 575 each, what would have been his gain/loss percentage (rounded off to the nearest integer)?

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SSC GD Constable (2022) Official Paper (Held On : 10 Jan 2023 Shift 3)
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  1. 45% gain
  2. 18% gain
  3. 41% gain
  4. 25% gain

Answer (Detailed Solution Below)

Option 2 : 18% gain
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Detailed Solution

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Given:

SP of each chair = Rs. 475

On one chair profit% = 25%

On other chair loss = 20%

New SP of each chair = Rs. 575

Concept Used:

CP = SP × 100/(100 ± Profit%/Loss%)

Profit% = Profit/CP × 100

Profit = SP - CP

Calculation:

CP= 475 × 100/125

475 × 4/5 = Rs. 380

CP2 = 475 × 100/80 = Rs. 593.75

Total CP = 380 + 593.75 = Rs. 973.75

Total new SP = 575 + 575 = Rs. 1150

Profit = 1150 - 973.75 = Rs. 176.25

Profit% = 176.25/973.75 × 100 = 18%

Option 2 is the correct answer.

 

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