A Merchant had 50 kg of pulse. He sold one part at 10% profit and other remaining part at 5% loss. The overall gain he had was 7%. Then the quantities of pulse, which he sold at 10% profit and 5% loss, respectively, are
Solution
✅ Correct Option: 1
Using alligation on the profit percentages, with the $5\%$ loss written as $-5\%$ and the overall gain $7\%$ as the mean: $\dfrac{\text{quantity at }10\%}{\text{quantity at }-5\%}=\dfrac{7-(-5)}{10-7}=\dfrac{12}{3}=\dfrac{4}{1}$ So the 50 kg splits in the ratio $4:1$. $\text{At }10\%\text{ profit}=\dfrac{4}{5}\times50=40$ kg $\text{At }5\%\text{ loss}=\dfrac{1}{5}\times50=10$ kg