Skip to main contentSkip to solution

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%5\% loss written as −5%-5\% and the overall gain 7%7\% as the mean:

quantity at 10%quantity at −5%=7−(−5)10−7=123=41\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 4:14:1.

At 10% profit=45×50=40\text{At }10\%\text{ profit}=\dfrac{4}{5}\times50=40 kg

At 5% loss=15×50=10\text{At }5\%\text{ loss}=\dfrac{1}{5}\times50=10 kg

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question