Multiple choice

Choose the correct answer from the alternatives given : A shopkeeper listed the price of goods at $30$% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at $30$% discount. His overall profit is

  1. $15\frac{3}{8}%$
  2. $15$%
  3. $15\frac{3}{5}%$
  4. $15\frac{2}{3}%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100, MP = 130. Stock = 4 units. Sale 1: 2 units at 130 = 260. Sale 2: 1 unit at 130 * 0.85 = 110.5. Sale 3: 1 unit at 130 * 0.70 = 91. Total Revenue = 461.5. Total CP = 400. Profit = 61.5. Profit % = (61.5/400)*100 = 15.375% = 15 3/8%.

AI explanation

Let the cost price of the entire stock be 400, so the marked price per unit is 1.3 times the cost. He sells half the stock at 260, a quarter at 130 * 0.85 = 110.25, and the remaining quarter at 130 * 0.70 = 91. The total selling price is 260 + 110.25 + 91 = 461.25, so the overall profit is calculated by the formula (61.25 / 400) * 100 = 15.3125%. His overall profit is 15 3/8%.

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