A vendor sold 18 pens for ₹1,440 and gained a profit of 20%. How many pens must he sell for ₹1,408 to make a profit of 12%(to the nearest integer)?

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Accepted Answer

1. Find SP per pen: $1440/18=80$.  
2. Find CP per pen using 20% gain: $	ext{CP}=80/1.2=200/3$.  
3. For ₹1408 and 12% gain, total cost needed: $1408/1.12=1257.142857\ldots$.  
4. Number of pens $n=\dfrac{1257.142857}{200/3}=\dfrac{1257.142857	imes3}{200}\approx18.86$.  
5. Nearest integer is **19**.  
FINAL_ANSWER: c

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