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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
- a)55
- b)60
- c)54
- d)50
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Anil buys 12 toys and labels each with the same selling price. He sell...
Let the CP of the each toy be “x”. CP of 12 toys will be “12x”. Now the shopkeeper made a 10% profit on CP. This means that
12x(1.1)= 2112 or x=160 . Hence the CP of each toy is ₹160.
Now let the SP of each toy be “m”. Now he sold 8 toys at 20% discount. This means that 8m(0.8) or 6.4m
He sold 4 toys at an additional 25% discount. 4m(0.8)(0.75)=2.4m Now 6.4m+2.4m=8.8m=2112 or m=240
Hence CP= 160 and SP=240. Hence profit percentage is 50%.
Most Upvoted Answer
Anil buys 12 toys and labels each with the same selling price. He sell...
Given information:
- Anil buys 12 toys and labels each with the same selling price.
- He sells 8 toys initially at a 20% discount on the labeled price.
- He sells the remaining 4 toys at an additional 25% discount on the discounted price.
- He receives a total of Rs 2112 from the sales.
- He makes a 10% profit.
To find:
The percentage of profit that Anil would have made if there were no discounts.
Solution:
Step 1: Calculate the selling price of each toy after the initial discount:
Let the labeled price of each toy be Rs x.
Since Anil sells 8 toys initially at a 20% discount, the selling price of each toy after the discount would be:
x - (20/100)x = (80/100)x = 0.8x
Step 2: Calculate the selling price of each toy after the additional discount:
Since Anil sells the remaining 4 toys at an additional 25% discount on the discounted price, the selling price of each toy after the additional discount would be:
0.8x - (25/100)(0.8x) = 0.8x - (0.2x) = 0.6x
Step 3: Calculate the total selling price from the given information:
Anil sells 8 toys initially at a selling price of 0.8x, so the total selling price from these sales is:
8 * 0.8x = 6.4x
Anil sells the remaining 4 toys at a selling price of 0.6x, so the total selling price from these sales is:
4 * 0.6x = 2.4x
The total selling price from all the sales is given as Rs 2112, so we can equate it to the sum of the selling prices from the two sets of sales:
6.4x + 2.4x = 2112
8.8x = 2112
x = 2112 / 8.8
x = 240
Step 4: Calculate the cost price of each toy:
Since Anil labels each toy with the same selling price, the cost price of each toy is also Rs 240.
Step 5: Calculate the total cost price:
Anil buys 12 toys, so the total cost price of all the toys is:
12 * 240 = Rs 2880
Step 6: Calculate the profit:
The profit is calculated as the difference between the total selling price and the total cost price:
Profit = Total Selling Price - Total Cost Price
Profit = 2112 - 2880
Profit = -768
Step 7: Calculate the percentage of profit:
The percentage of profit is calculated as the profit divided by the total cost price, multiplied by 100:
Percentage of Profit = (Profit / Total Cost Price) * 100
Percentage of Profit = (-768 / 2880) * 100
Percentage of Profit = -26.67%
Since the profit percentage is negative, it indicates a loss rather than a profit. Therefore, it is not possible for Anil to make a 10%
- Anil buys 12 toys and labels each with the same selling price.
- He sells 8 toys initially at a 20% discount on the labeled price.
- He sells the remaining 4 toys at an additional 25% discount on the discounted price.
- He receives a total of Rs 2112 from the sales.
- He makes a 10% profit.
To find:
The percentage of profit that Anil would have made if there were no discounts.
Solution:
Step 1: Calculate the selling price of each toy after the initial discount:
Let the labeled price of each toy be Rs x.
Since Anil sells 8 toys initially at a 20% discount, the selling price of each toy after the discount would be:
x - (20/100)x = (80/100)x = 0.8x
Step 2: Calculate the selling price of each toy after the additional discount:
Since Anil sells the remaining 4 toys at an additional 25% discount on the discounted price, the selling price of each toy after the additional discount would be:
0.8x - (25/100)(0.8x) = 0.8x - (0.2x) = 0.6x
Step 3: Calculate the total selling price from the given information:
Anil sells 8 toys initially at a selling price of 0.8x, so the total selling price from these sales is:
8 * 0.8x = 6.4x
Anil sells the remaining 4 toys at a selling price of 0.6x, so the total selling price from these sales is:
4 * 0.6x = 2.4x
The total selling price from all the sales is given as Rs 2112, so we can equate it to the sum of the selling prices from the two sets of sales:
6.4x + 2.4x = 2112
8.8x = 2112
x = 2112 / 8.8
x = 240
Step 4: Calculate the cost price of each toy:
Since Anil labels each toy with the same selling price, the cost price of each toy is also Rs 240.
Step 5: Calculate the total cost price:
Anil buys 12 toys, so the total cost price of all the toys is:
12 * 240 = Rs 2880
Step 6: Calculate the profit:
The profit is calculated as the difference between the total selling price and the total cost price:
Profit = Total Selling Price - Total Cost Price
Profit = 2112 - 2880
Profit = -768
Step 7: Calculate the percentage of profit:
The percentage of profit is calculated as the profit divided by the total cost price, multiplied by 100:
Percentage of Profit = (Profit / Total Cost Price) * 100
Percentage of Profit = (-768 / 2880) * 100
Percentage of Profit = -26.67%
Since the profit percentage is negative, it indicates a loss rather than a profit. Therefore, it is not possible for Anil to make a 10%
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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 beena)55b)60c)54d)50Correct answer is option 'D'. Can you explain this answer?
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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 beena)55b)60c)54d)50Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT 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 beena)55b)60c)54d)50Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 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 beena)55b)60c)54d)50Correct answer is option 'D'. Can you explain this answer?.
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 beena)55b)60c)54d)50Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT 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 beena)55b)60c)54d)50Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 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 beena)55b)60c)54d)50Correct answer is option 'D'. Can you explain this answer?.
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