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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?
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Anil buys 12 toys and labels each with the same selling price. He sell...
Calculating Profit Percentage without Discounts:
First, let's calculate the total cost price of the 12 toys. Since Anil buys each toy at the same price, we can assume the cost price of one toy as 'x'. Therefore, the total cost price of 12 toys = 12x.
Given that Anil makes a 10% profit after selling all the toys, we can calculate the selling price (SP) using the formula:
SP = Cost Price + Profit
SP = 1.1 * Cost Price
SP = 1.1 * 12x = 13.2x
Now, the total selling price of all 12 toys without any discounts = 13.2x * 12 = 158.4x
Therefore, the percentage profit without discounts = [(Total Selling Price - Total Cost Price) / Total Cost Price] * 100
Percentage profit = [(158.4x - 12x) / 12x] * 100
Percentage profit = (146.4x / 12x) * 100
Percentage profit = 1220%

Calculating Profit Percentage with Discounts:
Anil sells 8 toys initially at a 20% discount on the labeled price. The selling price after the discount = 0.8 * labeled price.
Then, he sells the remaining 4 toys at an additional 25% discount on the discounted price. The selling price after the second discount = 0.75 * (0.8 * labeled price) = 0.6 * labeled price.
Given that Anil gets a total of Rs 2112 from selling all the toys, we can set up the equation:
(8 * 0.8 + 4 * 0.6) * labeled price = 2112
(6.4 + 2.4) * labeled price = 2112
8.8 * labeled price = 2112
Labeled price = 240
Therefore, the total selling price of all 12 toys with discounts = 12 * 240 = 2880

Conclusion:
- The percentage profit without discounts = 1220%
- The percentage profit with discounts = [(Total Selling Price - Total Cost Price) / Total Cost Price] * 100 = [(2880 - 12 * x) / 12 * x] * 100
- Solving this equation will give us the percentage profit with discounts.
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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?
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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? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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