Question

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

• A. 60
• B. 55
• C. 50
• D. 54

Answer 1

The Correct Option is C

Let the labeled price of each toy be x. Anil sells 8 toys at a 20% discount, so the selling price for each is 0.8x. Total revenue from these 8 toys is 8 × 0.8x = 6.4x.

Then, he sells the remaining 4 toys at an additional 25% discount on the discounted price, meaning the new selling price is 0.75 × 0.8x = 0.6x. Total revenue from these 4 toys is 4 × 0.6x = 2.4x.

Total revenue from selling all toys is 6.4x + 2.4x = 8.8x which equals Rs 2112.

8.8x = 2112 

Solving for x, we get:

x = 2112 / 8.8 = 240

Cost price of 12 toys is Rs 2112 / 1.1 = Rs 1920. Anil's profit is 10%, i.e.,

Profit = 10% of 1920 = 192

Labeled price total = 12 × 240 = Rs 2880

If sold without discount, the sales would have been Rs 2880. Cost price remains Rs 1920, so profit would be 2880 - 1920 = 960.

Profit percentage without discount is:

(960 / 1920) × 100% = 50%,

Option	Value
60
55
50	Correct
54

Thus, the percentage of profit would have been 50%.