Question:medium
By selling 18 articles, a shopkeeper earns the cost price of 24 articles. By what percent should he increase the selling price so that by selling 24 articles, he earns the cost price of 36 articles?
By selling 18 articles, a shopkeeper earns the cost price of 24 articles. By what percent should he increase the selling price so that by selling 24 articles, he earns the cost price of 36 articles?
Show Hint
Translate statements like "selling $n$ items earns cost of $m$ items" into ratios: \(\frac{SP}{CP}=\frac{m}{n}\). Then compare ratios to get the required percent change.
Updated On: Jul 16, 2026
- 10\%
- 20\%
- 12.5\%
- 25\%
Show Solution
The Correct Option is C
Solution and Explanation
Step 1: From "selling 18 articles earns the cost price of 24," the selling price to cost price ratio is \(\dfrac{SP}{CP}=\dfrac{24}{18}=\dfrac{4}{3}\).
Step 2: The new condition, "selling 24 articles earns the cost price of 36," requires \(\dfrac{SP_{new}}{CP}=\dfrac{36}{24}=\dfrac{3}{2}\).
Step 3: The percentage increase in selling price is \(\dfrac{\frac{3}{2}-\frac{4}{3}}{\frac{4}{3}}\times100=\dfrac{\frac{1}{6}}{\frac{4}{3}}\times100=12.5\%\). \[ \boxed{12.5\%} \]
Step 2: The new condition, "selling 24 articles earns the cost price of 36," requires \(\dfrac{SP_{new}}{CP}=\dfrac{36}{24}=\dfrac{3}{2}\).
Step 3: The percentage increase in selling price is \(\dfrac{\frac{3}{2}-\frac{4}{3}}{\frac{4}{3}}\times100=\dfrac{\frac{1}{6}}{\frac{4}{3}}\times100=12.5\%\). \[ \boxed{12.5\%} \]
Was this answer helpful?
0
Top Questions on Profit and Loss
- Geeta sells A \(→\) 20% (Profit) and B \(→\) 10% (Loss) at the same sp. If she increases SP such that A and B still sold at an equal price and profit of 10% made on B, then profit made on A will be?
- CAT - 2023
- Quantitative Aptitude
- Profit and Loss
- An item is sold with a profit of \(40\%\). If the cost price is reduced by \(40\%\) and Rs. \(5\) are also reduced from it, then the profit will be increased to \(50\%\). Find the final cost price.
- CAT - 2024
- Quantitative Aptitude
- Profit and Loss
- Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs.500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is
- CAT - 2023
- Quantitative Aptitude
- Profit and Loss
- Jayant bought a certain number of white shirts at the rate of Rs 1000 per piece and a certain number of blue shirts at the rate of Rs 1125 per piece. For each shirt, he then set a fixed market price which was 25% higher than the average cost of all the shirts. He sold all the shirts at a discount of 10% and made a total profit of Rs 51000. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is
- CAT - 2023
- Quantitative Aptitude
- Profit and Loss
- Want to practice more? Try solving extra ecology questions todayView All Questions
Questions Asked in SNAP exam
In the following figure, the smaller triangle represents teachers; the big triangle represents politicians; circle represents graduates and rectangle represents members of Parliament. Different regions are being represented by letters of English alphabet. On the basis of the above diagram, answer the following questions: 
- SNAP - 2024
- Venn Diagrams