# CAT 2023 Set-3 | Quantitative Aptitude | Question: 13

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Q. 13)

A merchant purchases a cloth at a rate of Rs. 100 per meter and receives $5 \mathrm{~cm}$ length of cloth free for every $100 \mathrm{~cm}$ length of cloth purchased by him. He sells the same cloth at a rate of Rs. 110 per meter but cheats his customers by giving $95 \mathrm{~cm}$ length of cloth for every $100 \mathrm{~cm}$ length of cloth purchased by the customers. If the merchant provides a $5 \%$ discount, the resulting profit earned by him is

1. $9.7 \%$
2. $16 \%$
3. $4.2 \%$
4. $15.5 \%$

Q. 13)A merchant purchases a cloth at a rate of Rs. 100 per meter and receives $5 \mathrm{~cm}$ length of cloth free for every $100 \mathrm{~cm}$ length of cloth purchase...
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