Question

Akash purchased a pair of jeans. What is its marked price?
Statement 1: After giving a discount of 15% on marked price, the shopkeeper earns a profit of 10%
Statement 2: The shopkeeper gets every pair of jeans from the market outlet for ` 600

• A. statement (1) alone is sufficient to answer the question
• B. statement (2) alone is sufficient to answer the question
• C. both the statements together are needed to answer the question
• D. statement (1) alone or statement (2) alone is sufficient to answer the question
• E. neither statement (1) nor statement (2) suffices to answer the question

Answer 1

The Correct Option is C

To solve this problem, we need to determine the marked price of the jeans using the given statements. Let's analyze each statement step-by-step:

1. Statement 1: After giving a discount of 15% on the marked price, the shopkeeper earns a profit of 10%.
   • Let the marked price be \( M \) and the cost price be \( C \).
   • A 15% discount on the marked price implies the selling price (SP) is 85% of the marked price:
   • \(SP = 0.85M\).
   • The shopkeeper earns a profit of 10% on the cost price, so: 
   • \(SP = 1.10 \times C\).
   • From the above two equations, we have: \(0.85M = 1.10C\).
2. Statement 2: The shopkeeper gets every pair of jeans from the market outlet for ₹ 600.
   • This gives us the cost price \( C = 600 \).
3. Combining Both Statements:
   • From Statement 1, we have \( 0.85M = 1.10C \).
   • From Statement 2, \( C = 600 \), so substituting this in the equation from Statement 1:
   • \(0.85M = 1.10 \times 600\).
   • \(0.85M = 660\).
   • Solving for \( M \):
   • \(M = \frac{660}{0.85} = 776.47\) approximately.

The correct option is: both the statements together are needed to answer the question.