SSC GD 2023 PYQ — Question 60

SSC GD Constable (English) - 10 Jan 2023 - Shift 3 • Quantitative Aptitude • Q60

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)?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 18% gain

Selling Price of each chair = Rs. 475

On one chair profit% = 25%

On other chair loss = 20%

New SP of each chair = Rs. 575

CP = SP × 100/(100 ± Profit% or Loss%)

Profit% = Profit/CP × 100

Profit = SP - CP

CP of 1st chair = 475(100/125) =475(4/5) = Rs. 380

CP of 2nd chair = 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%