Sujatha sold 75 of her goods at a profit of 24 and the remainingat a loss of 40 Whatis her gain loss...........

Quantitative Aptitude (CPO) Percentage

Sujatha sold 75% of her goods at a profit of 24% and the remainingat a loss of 40%. Whatis her gain/loss percentage on the whole

transaction?

This questions was previously asked in

SSC CPO 11th Dec 2019 Shift-1

8% gain

10% gain

9% loss

7.5% loss

- Sujatha sold 75% of her goods at a profit of 24%. This means for the bulk of her goods, she made a healthy gain.

- The remaining 25% of her goods were sold at a loss of 40%, meaning a portion of her inventory contributed to a financial setback.

- To find the overall gain/loss, each part of the transaction must be weighted by its percentage of the total goods.

- Calculation:

- Assume the cost price is 100 units.

- The selling price for 75% of goods is: \(75 \times 1.24 = 93\) units.

- The selling price for 25% of goods is: \(25 \times 0.60 = 15\) units.

- Total selling price: \(93 + 15 = 108\) units.

- Conclusion: Sujatha made an 8% profit since she sold goods initially worth 100 units for 108 units.

- Correct Answer: Option 1: 8% gain

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