Question:medium

The price of a shirt is Rs. 800, that of a trouser is Rs. 1000, that of a pair 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 (a shirt, a trouser and a pair of shoes)?

Statement (1): There is a discount of 30% on the shirt and the trousers.

Statement (2): The belt is free with one shirt and a trouser. The shirt is free with one pair of shoes and one trouser.

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Work out the minimum spend under each statement separately: statement 1 is a straightforward discount calculation, statement 2 is a look for the cheapest bundle using the free-item offers.

Updated On: Jul 20, 2026
  • If the data in statement (1) alone is sufficient to answer the question, but the data in statement (2) alone is not sufficient.
  • If the data in statement (2) alone is sufficient to answer the question, but the data in statement (1) alone is not sufficient.
  • 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.
  • If the data in neither statement (1) nor statement (2) is sufficient to answer the question, and more data is needed.
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The Correct Option is D

Solution and Explanation

List the base prices: shirt = $800$, trouser = $1000$, shoes = $2000$, belt = $500$ (not needed for the three articles asked about).

Using statement (1) only: a $30\%$ cut applies to the shirt and trouser. New shirt price $= 800 \times 0.7 = 560$, new trouser price $=1000\times 0.7=700$. Shoes remain $2000$ since no discount is mentioned for them. Total $=560+700+2000=3260$. That's a fixed number, so this statement alone answers the question.

Using statement (2) only: read the two deals as substitution rules. Deal A: shirt + trouser $\Rightarrow$ belt free (doesn't help, we don't want a belt). Deal B: shoes + trouser $\Rightarrow$ shirt free. Applying Deal B, pay only for shoes and trouser: $2000+1000=3000$, and the shirt is thrown in. No cheaper combination is offered, so $3000$ is the minimum, and again this is a fixed number obtainable from statement (2) alone.

Because each statement on its own produces a definite minimum spend (3260 from the first, 3000 from the second), the data sufficiency criterion is met by either one individually. Answer: option (4).

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