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A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk made a mistake and interchanged the number of black and brown pairs. This increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order was
  • a)
    4:1
  • b)
    2:1
  • c)
    1:4
  • d)
    1:2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A man ordered 4 pairs of black socks and some pair of brown socks. Th...
Given:
- A man ordered 4 pairs of black socks and some pairs of brown socks.
- The price of a black pair is double that of a brown pair.
- The clerk interchanged the number of black and brown pairs, which increased the bill by 50%.

To find:
- The ratio of the number of black and brown pairs of socks in the original order.

Solution:
Let's assume the original number of black pairs of socks ordered is 'x' and the number of brown pairs of socks ordered is 'y'.
According to the given information:
- The price of a black pair is double the price of a brown pair.
- The clerk interchanged the number of black and brown pairs, which increased the bill by 50%.

Calculating the Price:
Let's assume the price of a brown pair of socks is 'b'.
Therefore, the price of a black pair of socks is '2b' (double that of a brown pair).

The original bill amount for black socks = 4 * 2b = 8b
The original bill amount for brown socks = y * b

After interchanging, the new bill amount for black socks = x * 2b
The new bill amount for brown socks = 4 * b = 4b

According to the given information, the new bill amount is 50% more than the original bill amount.

New bill amount for black socks = Original bill amount for black socks + 50% of original bill amount for black socks
x * 2b = 8b + (50/100) * 8b
2bx = 8b + 4b
2bx = 12b
x = 6

New bill amount for brown socks = Original bill amount for brown socks + 50% of original bill amount for brown socks
4b = y * b + (50/100) * y * b
4 = y + (50/100) * y
4 = y + 0.5y
4 = 1.5y
y = 8/3

Therefore, the original ratio of black to brown pairs of socks is:
x:y = 6:8/3
x:y = 6:24/3
x:y = 6:8
x:y = 3:4

Hence, the correct answer is option 'C' (1:4).
Free Test
Community Answer
A man ordered 4 pairs of black socks and some pair of brown socks. Th...
Let the number of pairs of brown socks be n
Let the price of each pair of black socks be Rs. x and that of brown socks be Rs. Y.
Given x = 2y
Also, 4y + nx = 1.5 (4x + ny). Putting x = 2y, we get n = 16. So the required ration of number of black socks to the number of brown socks = 1:4
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A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk made a mistake and interchanged the number of black and brown pairs. This increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order wasa)4:1b)2:1c)1:4d)1:2Correct answer is option 'C'. Can you explain this answer?
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A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk made a mistake and interchanged the number of black and brown pairs. This increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order wasa)4:1b)2:1c)1:4d)1:2Correct answer is option 'C'. 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 A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk made a mistake and interchanged the number of black and brown pairs. This increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order wasa)4:1b)2:1c)1:4d)1:2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk made a mistake and interchanged the number of black and brown pairs. This increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order wasa)4:1b)2:1c)1:4d)1:2Correct answer is option 'C'. Can you explain this answer?.
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