A person sold 25 articles for Rs2,500 and incurred a loss of 10%. How many articles should he sell for Rs2,400 to make a profit of
20%?
This questions was previously asked in
SSC CGL 7 June 2019 Shift-2
Explanation:
- The person sold 25 articles for Rs2,500 and incurred a loss of 10%.
- This implies the cost price (CP) of these articles is more than Rs2,500.
- Loss implies: SP (Selling Price) = 90% of CP; Therefore, 2500 = 0.9 × CP.
- Solving this, CP of 25 articles = Rs2,500 / 0.9 = Rs2,777.78.
- Hence, CP of one article = Rs2,777.78 / 25 = Rs111.11.
- The desired profit is 20%.
- Therefore, Selling Price for 20% profit = 1.2 × CP = 1.2 × Rs111.11 = Rs133.33.
- To find how many articles to sell for Rs2,400:
\( 2,400 / 133.33 ˜ 18 \).
- Option: 4 - 18 is the right choice.
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