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%,
| Option | Value |
|---|---|
| 60 | |
| 55 | |
| 50 | Correct |
| 54 |
Therefore, the profit percentage, had there been no discount, would have been 50%.
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