Multiple choice

Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labelled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs. 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been

  1. 60

  2. 55

  3. 50

  4. 54
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let MP be the marked price. Total revenue = 8 * (0.8 * MP) + 4 * (0.75 * 0.8 * MP) = 6.4 * MP + 2.4 * MP = 8.8 * MP. 8.8 * MP = 2112, so MP = 240. Total CP = 2112 / 1.1 = 1920. CP per toy = 1920 / 12 = 160. Profit without discount = (240 - 160) / 160 = 80 / 160 = 50%.

AI explanation

Using the selling price percentage calculation for an initial discount of 20% followed by an additional 25%, the overall selling price percentage on the remaining items is 80% multiplied by 75%, which equals 60%. The total revenue is the sum of (8 multiplied by 0.80) and (4 multiplied by 0.60), giving 8.8 labeled price units, so one labeled price is 2112 divided by 8.8, which is Rs. 240. The total labeled price for 12 toys is Rs. 2880, and because a 10% profit means the cost price is Rs. 1920, the marked profit would have been 960 divided by 1920, yielding a 50% profit.

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