CAT 2002QA Question 53

Profit & LossEasy
Passage / Data

Answer the following question based on the information given below.

 A boy is supposed to put a mango into a basket if ordered 1, an orange if ordered 2 and an apple if ordered 3. He took out 1 mango and 1 orange if ordered 4. He was given the following sequence of orders.

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Each question is followed by two statements A and B. Answer each question using the following instructions:

Answer (1) if the question can be solved by any one of the statements, but not the other one.
Answer (2)
if the question can be solved by using either of the two statements.
Answer (3) if the question can be solved by using both the statements together and not by any one of them.
Answer (4) if the question cannot be solved with the help of the given data and more data is required.

A dress was initially listed at a price that would have fetched the store a profit of 20% on the wholesale cost. What was the wholesale cost of the dress?

A. After reducing the listed price by 10% the dress was sold for a net profit of 10 dollars.
B. The dress was sold for 50 dollars.

Answer & solution

  • 1

  • B

    2

  • C

    3

  • D

    4

Solution

Let 100x be the wholesale cost of the dress.

∴ List price of the dress = 120x

Consider statement A:

Selling Price = 0.9 × List Price = 0.9 × 120x = 108x

Now, Selling Price – Cost Price = Profit

∴ (108x) − (100x) = 10

∴ x = 10/8

∴ Wholesale Cost = 100x = Rs. 125

∴ Statement A alone is sufficient.

Consider statement B:

This gives the selling price of the dress but it is not mentioned whether any discount is provided on the list price or not.

∴ Statement B alone is not sufficient.

Hence, option (a).

CAT 2002 QA Q53: Each question is followed by two statements A and B. Answer each question using the following instructions: An — Solution | TheCATExam