Question

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

• A. If the data in statement (1) alone is sufficient to answer the question
• B. If the data in statement (2) alone is sufficient to answer the question
• C. If the data in both the statements together are needed to answer the question
• D. If either statement (1) alone or statement (2) alone is sufficient to answer the question

Hint:

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.

Answer 1

The Correct Option is D

Step 1: List the base prices.
Shirt = Rs. 800, Trouser = Rs. 1000, Shoes = Rs. 2000, Belt = Rs. 500. We need the minimum amount to walk away with a shirt, a trouser and a pair of shoes.

Step 2: Check statement (1) alone.
A 30% discount on the shirt and the trouser means the shirt now costs \(800\times0.7=560\) and the trouser costs \(1000\times0.7=700\). The shoes stay at full price, Rs. 2000, since the discount does not apply to them. Adding these up: \[ 560+700+2000=3260 \] This is one definite number, so statement (1) alone answers the question with a minimum of Rs. 3260.

Step 3: Check statement (2) alone.
Statement (2) gives two offers: buying a shirt and a trouser gets a free belt (not useful here since the belt is not needed), and buying a pair of shoes and a trouser gets a free shirt. Using the second offer, buy the trouser (Rs. 1000) and the shoes (Rs. 2000), and the shirt comes free. That totals \[ 1000+2000=3000 \] Buying all three separately without the offer would cost \(800+1000+2000=3800\), which is more, so the shoe-and-trouser offer gives the lowest cost, Rs. 3000. This is again one definite number, so statement (2) alone is also enough on its own.

Step 4: Final answer.
Each statement, used by itself, gives a complete way to compute the minimum spend (Rs. 3260 from statement 1, Rs. 3000 from statement 2). \[ \boxed{\text{Either statement alone is sufficient}} \]