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      Question

      By selling lemons at 4 for ₹1, a man loses 30%. To

      gain 40%, how many must he sell for ₹1?  
      A 1 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 3 Correct Answer Incorrect Answer
      D 2 Correct Answer Incorrect Answer

      Solution

      Let’s assume the cost price (CP) of 1 lemon = ₹x So,

      • Selling 4 lemons for ₹1 means selling price (SP) per lemon = ₹1/4 = ₹0.25
      Now, he loses 30% , which means: [ SP} = {CP} × (1 - 0.30) = ₹x × 0.70 ] So we equate SP: 0.25 = 0.70x x = 0.25/0.70} = 25/70 = ₹0.3571 So his cost price per lemon = ₹0.3571
      To GAIN 40%, SP should be: [ SP = CP × (1 + 0.40) = ₹0.3571 × 1.40 = ₹0.4999 ≈ ₹0.50 ] So now he should sell each lemon for ₹0.50 That means for ₹1, he should sell: [ Number of lemons = 1/0.50 = 2 ]

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