Question

Gopi sold a watch to Ibrahim at 12% gain and Ibrahim sold it to John at a loss of 5%. If John paid ₹ 1,330, then find how much did Gopi sell it?

• A. ₹ 1400
• B. ₹ 1500
• C. ₹ 1600
• D. ₹ 1700

Hint:

When solving profit and loss problems, always express the selling price as a percentage of the cost price. In this case, Gopi's price to Ibrahim was the cost price for Ibrahim, and the loss for Ibrahim is applied to determine John's price.

Answer 1

The Correct Option is A

Step 1: Understanding the problem.
Gopi sold the watch to Ibrahim at a 12% gain. Ibrahim then sold it to John at a 5% loss. We are given that John paid ₹ 1,330. We need to determine the price at which Gopi sold the watch to Ibrahim.

Step 2: Let the price at which Gopi sold the watch be x.}
Gopi's selling price to Ibrahim = \( x \). Ibrahim's selling price to John = \( 0.95x \), since he sold it at a 5% loss.

Step 3: Relating the final price.
We know that John paid ₹ 1,330 for the watch, so: \[ 0.95x = 1330 \] Solving for \( x \), we get: \[ x = \frac{1330}{0.95} = 1400 \]

Step 4: Conclusion.
Therefore, Gopi sold the watch to Ibrahim for ₹ 1400.

Final Answer: ₹ 1400.