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Shakila incurs a loss of 10% after selling a machine part for 540. In order to gain a profit of 10%, at what price should Shakila sell the same part?
Question

Shakila incurs a loss of 10% after selling a machine part for 540. In order to gain a profit of 10%, at what price should Shakila sell the same part?

A.

260

B.

550

C.

660

D.

600

Correct option is C


Given:
· Loss percentage = 10%
· Selling price at a loss = ₹540
· Desired profit = 10%
Concept Used:
· First, find the cost price using the formula: Selling Price = Cost Price × (1 - Loss%).
· Then, calculate the new selling price required to achieve a 10% profit.
Solution:
1. Let the cost price be C. Using the loss formula: ₹540 = C × (1 - 0.10) ₹540 = C × 0.90 C = ₹540 / 0.90 C = ₹600
2. To gain a profit of 10%, the new selling price should be: New Selling Price = Cost Price × (1 + Profit%) New Selling Price = ₹600 × (1 + 0.10) New Selling Price = ₹600 × 1.10 New Selling Price = ₹660
Final Answer: (c) ₹660

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