Question

Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%. If Sohan paid Rs.729 for the trouser to Mohan, then what was the undiscounted price of the trouser?

• A. Rs. 900/-
• B. Rs. 800/-
• C. Rs. 1000/-
• D. Rs. 911.25/-

Answer 1

The Correct Option is A

To find the undiscounted price of the trouser, let's work through the given problem step-by-step: 

1. Understanding the Problem: Mohan purchases a trouser with a 10% discount and sells it to Sohan at a 10% loss. The amount Sohan pays is Rs. 729. We need to find the original (undiscounted) price of the trouser.
2. Determine the Selling Price Components:
   • Let the original price of the trouser be \(X\).
   • The discounted price for Mohan would be \(0.9X\) since he received a 10% discount.
   • Sohan buys it at a 10% loss from Mohan's purchase price, so the price Sohan paid can be expressed as \(0.9 \times 0.9X = 0.81X\).
3. Given Information:
   • The price Sohan paid is Rs. 729. Hence, \(0.81X = 729\).
4. Calculate the Original Price:
   • Solve for \(X\):

\( 0.81X = 729 \)

\( X = \frac{729}{0.81} \)

\( X = 900 \)

• Thus, the original (undiscounted) price of the trouser is Rs. 900.

Therefore, the correct answer is that the undiscounted price of the trouser is Rs. 900/-.