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Each of the five friends - A, B, C, D and E - purchased a pair of shoes from a shoe store during Sale. E purchased Reebok shoes on 50% discount and spent same amount as D who purchased Nike shoes. The ratio of original price of shoes of brand Fila, Nike and Reebok is 4 : 5 : 6 respectively. A purchased Adidas shoes at 10% discount while B purchased Puma shoes at 20% discount. Original price of Fila shoes was Rs.5,200, which was 4% more than that of Adidas and Rs.1,150 more than that of Puma.
Q. If discounted price of Fila shoes is Rs.3,640, then the discount percentage on Fila shoes is
  • a)
    30%
  • b)
    40%
  • c)
    10%
  • d)
    25%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Each of the five friends - A, B, C, D and E - purchased a pair of sho...
Let original price (in Rs.) of shoes of Fila, Nike and Reebok be ‘4x’, ‘5x’ and ‘6x’ respectively.
∴ 4x = 5200 ⇒ x = 1300.
∴ Price of Reebok shoes = 6x = Rs.7,800
Let the discounted price (in Rs) of shoes of Nike and Reebok be a.
As Reebok shoes was purchased on 50% discount: a = Rs.3,900.
Now we can tabulate the given information as follows:
Required percentage
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Most Upvoted Answer
Each of the five friends - A, B, C, D and E - purchased a pair of sho...
Understanding the Problem
To find the discount percentage on Fila shoes, let's break down the information provided:
Original Prices of Brands
- The ratio of original prices of Fila, Nike, and Reebok is 4:5:6.
- Original price of Fila shoes = Rs. 5,200.
Calculating Original Prices
- Let the original prices be:
- Fila = 4x
- Nike = 5x
- Reebok = 6x
Given that Fila's original price is Rs. 5,200:
- 4x = 5,200
- x = 1,300
Thus,
- Nike's original price = 5x = 5 * 1,300 = Rs. 6,500
- Reebok's original price = 6x = 6 * 1,300 = Rs. 7,800
Price Comparisons
- Fila is Rs. 1,150 more than Puma.
- Therefore, Puma's original price = 5,200 - 1,150 = Rs. 4,050.
Finding Adidas's Original Price
- Fila's original price is 4% more than Adidas's.
- Let Adidas's original price be y.
- 5,200 = y + 0.04y = 1.04y
- 1.04y = 5,200
- y = 5,200 / 1.04 = Rs. 5,000.
Calculating the Discount on Fila Shoes
- Discounted price of Fila shoes = Rs. 3,640.
- Original price = Rs. 5,200.
- Discount = Original Price - Discounted Price = 5,200 - 3,640 = Rs. 1,560.
Calculating Discount Percentage
- Discount Percentage = (Discount / Original Price) * 100
- Discount Percentage = (1,560 / 5,200) * 100 = 30%.
Conclusion
The discount percentage on Fila shoes is 30%, which is option 'A'.
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Each of the five friends - A, B, C, D and E - purchased a pair of shoes from a shoe store during Sale. E purchased Reebok shoes on 50% discount and spent same amount as D who purchased Nike shoes. The ratio of original price of shoes of brand Fila, Nike and Reebok is 4 : 5 : 6 respectively. A purchased Adidas shoes at 10% discount while B purchased Puma shoes at 20% discount. Original price of Fila shoes was Rs.5,200, which was 4% more than that of Adidas and Rs.1,150 more than that of Puma.Q. If discounted price of Fila shoes is Rs.3,640, then the discount percentage on Fila shoes isa)30%b)40%c)10%d)25%Correct answer is option 'A'. Can you explain this answer?
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Each of the five friends - A, B, C, D and E - purchased a pair of shoes from a shoe store during Sale. E purchased Reebok shoes on 50% discount and spent same amount as D who purchased Nike shoes. The ratio of original price of shoes of brand Fila, Nike and Reebok is 4 : 5 : 6 respectively. A purchased Adidas shoes at 10% discount while B purchased Puma shoes at 20% discount. Original price of Fila shoes was Rs.5,200, which was 4% more than that of Adidas and Rs.1,150 more than that of Puma.Q. If discounted price of Fila shoes is Rs.3,640, then the discount percentage on Fila shoes isa)30%b)40%c)10%d)25%Correct answer is option 'A'. 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 Each of the five friends - A, B, C, D and E - purchased a pair of shoes from a shoe store during Sale. E purchased Reebok shoes on 50% discount and spent same amount as D who purchased Nike shoes. The ratio of original price of shoes of brand Fila, Nike and Reebok is 4 : 5 : 6 respectively. A purchased Adidas shoes at 10% discount while B purchased Puma shoes at 20% discount. Original price of Fila shoes was Rs.5,200, which was 4% more than that of Adidas and Rs.1,150 more than that of Puma.Q. If discounted price of Fila shoes is Rs.3,640, then the discount percentage on Fila shoes isa)30%b)40%c)10%d)25%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the five friends - A, B, C, D and E - purchased a pair of shoes from a shoe store during Sale. E purchased Reebok shoes on 50% discount and spent same amount as D who purchased Nike shoes. The ratio of original price of shoes of brand Fila, Nike and Reebok is 4 : 5 : 6 respectively. A purchased Adidas shoes at 10% discount while B purchased Puma shoes at 20% discount. Original price of Fila shoes was Rs.5,200, which was 4% more than that of Adidas and Rs.1,150 more than that of Puma.Q. If discounted price of Fila shoes is Rs.3,640, then the discount percentage on Fila shoes isa)30%b)40%c)10%d)25%Correct answer is option 'A'. Can you explain this answer?.
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