A trader bought 640 kg of rice He sold a part of rice at 20 profit and the rest at 5 loss He earned ...........

Quantitative Aptitude (CGL) Mixture and Alligation

A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire

transaction. What is the quantity (in kg) of rice that he sold at 5% loss?

This questions was previously asked in

SSC CGL 13th August 2021 Shift-3

128

132

154

256

- Let's denote the quantity of rice sold at 20% profit as $ x $ kg.

- The remaining quantity, therefore, is $ 640 - x $ kg. This is sold at a 5% loss.

- We know the trader's total profit margin is 15%.

- The equation for total profit can be written as:

$$ (x \times 20\%) + ((640 - x) \times (-5\%)) = 640 \times 15\% $$

- Simplifying:

$$ 0.2x - 0.05(640 - x) = 96 $$

- Solving for $ x $:

$$ 0.2x - 32 + 0.05x = 96 $$

$$ 0.25x = 128 $$

$$ x = 512 $$

- Therefore, rice sold at 5% loss is:

$$ 640 - 512 = 128 \text{ kg} $$

- $\color{green}{\text{\textbf{}}}$ The correct answer is Option:1, 128 kg.

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