CAT 2023 Slot 3 Solved Paper

Question : 52 of 66

Marks: +1, -0

A merchant purchases a cloth at a rate of Rs. 100 per meter and receives

5 {\cm}

length of cloth free for every

100 {\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 {\cm}

length of cloth for every

100 {\cm}

length of cloth purchased by the customers. If the merchant provides a

5 \%

discount, the resulting profit earned by him is

Solution:

It is given that a merchant purchases a cloth at a rate of Rs. 100 per meter and receives

5 {\cm}

length of cloth free for every

100 {\cm}

length of cloth purchased by him.
Hence, the cost price of

105 {\cm}

clothes is 100 rupees.
It is also known that he marked the price of

100 {\cm}

clothes as 110 rupees, and gave a

5 \%

discount, and he cheated his customers by giving

95 {\cm}

length of cloth for every

100 {\cm}

length of cloth purchased by the customers.
Hence, the selling price of

95 {\cm}

clothes is

110^*(19 / 20)

rupees.
Therefore, the selling price of

105 {\cm}

clothes is 115.5 rupees.
Hence, the profit is

15.5 \%

The correct option is C

Go to Question:

Prev Question

Next Question