Question:medium

Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled 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

Updated On: Jan 15, 2026
  • 60
  • 55
  • 50
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The Correct Option is C

Solution and Explanation

Let the labeled price of each toy be x. Anil sold 8 toys at a 20% discount, resulting in a selling price of 0.8x per toy. The total revenue from these 8 toys was 8 × 0.8x = 6.4x.

Subsequently, he sold the remaining 4 toys at an additional 25% discount on the already discounted price. The new selling price for these 4 toys was 0.75 × 0.8x = 0.6x. The total revenue from these 4 toys was 4 × 0.6x = 2.4x.

The total revenue from selling all toys amounted to 6.4x + 2.4x = 8.8x, which equates to Rs 2112.

8.8x = 2112

Solving for x yields:

x = 2112 / 8.8 = 240

The cost price of 12 toys was Rs 2112 / 1.1 = Rs 1920. Anil's profit was 10%, calculated as:

Profit = 10% of 1920 = 192

The total labeled price for the 12 toys was 12 × 240 = Rs 2880.

If the toys had been sold without any discount, the total sales would have been Rs 2880. With a cost price of Rs 1920, the profit would have been 2880 - 1920 = 960.

The profit percentage without discount is:

(960 / 1920) × 100% = 50%,

OptionValue
60 
55 
50Correct
54 

Therefore, the profit percentage, had there been no discount, would have been 50%.

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