The cost price of a watch is Rs. 530. If the loss percentage on selling the watch is 24 percent, what is the loss amount in rupees?

Introduction / Context:
This is a standard loss percentage question where the cost price and loss percentage are given. It checks the ability to compute the rupee loss from the percentage.

Given Data / Assumptions:

• Cost price (CP) = Rs. 530.
• Loss percentage = 24 percent.
• We must find the loss amount in rupees.

Concept / Approach:
Loss amount is simply the given percentage of cost price. The formula is loss = (loss percent / 100) * cost price.

Step-by-Step Solution:
Loss percent = 24 percent.Cost price = 530.Loss amount = 24/100 * 530.Compute 24/100 = 0.24.Loss = 0.24 * 530.0.24 * 530 = 127.2.

Verification / Alternative check:
We can find the selling price as well: SP = CP - loss = 530 - 127.2 = 402.8. Then loss percentage = (530 - 402.8) / 530 * 100 = 127.2 / 530 * 100 = 24 percent, confirming the computation.

Why Other Options Are Wrong:
Values 153.2, 139.4 and 114.2 correspond to different loss percentages when divided by 530. For instance, 139.4 would be about 26.3 percent of 530, not 24 percent.

Common Pitfalls:
Students may accidentally multiply by 76 percent instead (thinking of the remaining value) or use selling price as base. Remember that loss percentage is always calculated on cost price unless specified otherwise.

Final Answer:
The loss amount on the watch is Rs. 127.2.