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

50 kg

The correct answer is Option (3) → 50 kg

Total Rice = 250 kg

Overall Profit = 7%

Let x be the quantity of rice sold at 5% loss.

(250 - x) be the quantity of rice sold at 10% profit.

Overall SP = Total CP × (1 + Overall profit)

$(250 - x)1.1+x×0.95=250×1.07$

$⇒275-0.15x=267.5$

$⇒0.15x=7.5$

$⇒x=50$