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      Question

      A vendor claims to sell rice at a 20% profit but uses a

      fake weight instead of 1 kg. If his actual profit percentage is 50%, how much rice is he saving if he says he sold 4.5 kg?
      A 900 gm Correct Answer Incorrect Answer
      B 550 gm Correct Answer Incorrect Answer
      C 700 gm Correct Answer Incorrect Answer
      D 800 gm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the cost price of 1,000 gm rice be Rs. 1,000C Claimed selling price of 1,000 gm rice = 1.2 × 1,000C = Rs. 1,200C Cost price of ‘X’ gm rice = Rs. CX Overall profit earned = Rs. (1,200C – CX) So, (1,200 – X) ÷ X = 0.50 ⇒ 1.50X = 1,200 ⇒ X = 1,200 / 1.5 ⇒ X = 800 Quantity of rice saved per kg = 1,000 – 800 = 200 gm Required quantity = 4.5 × 200 = 900 gm

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