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A retailer has 250 kg of rice a part of which he sells at 10% profit. The remaining quantity of rice is of low quality and he sold it at 5% loss. Overall he made a profit of 7%. The quantity of rice sold at 5% loss is :

Solution

✅ Correct Option: 3

Let xx kg sold at 10% profit, (250−x)(250-x) kg at 5% loss. Take CP == Rs 1/kg.

Profit =0.1x−0.05(250−x)=0.15x−12.5=0.1x-0.05(250-x)=0.15x-12.5.

For 7% overall profit: 0.15x−12.5=17.5⇒x=2000.15x-12.5=17.5\Rightarrow x=200.

Quantity at 5% loss =250−200=50=250-200=50 kg.

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