On selling an article for Rs115 the gain is 20 more than the loss incurred on selling it for Rs104 I...........

Quantitative Aptitude (CPO) Percentage

On selling an article for Rs115, the gain is 20% more than the loss incurred on selling it for Rs104. If the article is sold for Rs130.80, then

the profit percentage is:

This questions was previously asked in

SSC CPO 13th Dec 2019 Shift-1

- Let's denote the cost price (CP) as \( x \).

- Gain on selling for Rs115 is 20% more than the loss on selling for Rs104.

- Loss when sold for Rs104: \( Loss = x - 104 \).

- Gain when sold for Rs115: \( Gain = 115 - x \).

- Given, \( 115 - x = 1.2(x - 104) \).

- Solving the equation: \( 115 - x = 1.2x - 124.8 \) leads to \( 2.2x = 239.8 \).

- Therefore, \( x = 109 \).

- Selling for Rs130.80 implies profit of \( 130.80 - 109 = 21.80 \).

- Profit percentage: \( \frac{21.80}{109} \times 100 \approx 20\% \).

- Correct Option: 4, 20

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