Question:medium

The price of a shirt is Rs. 800, that of a trouser is Rs. 1000, that of shoes is Rs. 2000 and that of a belt is Rs. 500. What is the minimum amount with which one can get all the three articles (shirt, trouser and shoes)?
Statement 1: There is a discount of 30% on shirt and trousers
Statement 2: Belt is free with one shirt and a trouser. Shirt is free with one pair of shoes and one trouser

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Work out the discounted total from statement (1) and the cheapest combo total from statement (2) separately, then check whether each alone gives a fixed number.
Updated On: Jul 21, 2026
  • If the data in statement (1) alone is sufficient to answer the question
  • If the data in statement (2) alone is sufficient to answer the question
  • If the data in both the statements together are needed to answer the question
  • If either statement (1) alone or statement (2) alone is sufficient to answer the question
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The Correct Option is D

Solution and Explanation

We are shopping for three items, a shirt, a trouser and a pair of shoes, and we want the cheapest way to walk out with all three. The belt price is only a distractor since the belt itself is not one of the three required articles. Let's look at what each statement offers on its own.

  1. Statement (1), the 30% discount: Only the shirt and the trouser are discounted, so their prices drop to Rs. 560 and Rs. 700, while the shoes remain Rs. 2000. Adding these three amounts gives a fixed total of Rs. 3260. Nothing is left unknown, so this statement by itself settles the question.
  2. Statement (2), the bundled freebies: Two combo offers are described. The first, buy a shirt and a trouser and get a free belt, is not useful here since the belt is not needed. The second, buy a pair of shoes and a trouser and the shirt comes free, is exactly what is needed: paying Rs. 1000 for the trouser and Rs. 2000 for the shoes gets the shirt at no extra cost, for a total of Rs. 3000. Since this beats buying everything separately, it is the route a buyer would take, and it gives one fixed number using only this statement.

Because each statement, taken on its own, is enough to work out a definite minimum amount (Rs. 3260 from the first, Rs. 3000 from the second), either statement alone answers the question.

Let's summarize:

  • Statement (1) fixes the price of every item through the discount alone.
  • Statement (2) fixes the minimum spend through the free-shirt combo alone.

So the correct choice is that either statement (1) alone or statement (2) alone is sufficient.

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