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A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:
  • a)
      Rs. 140   
  • b)
      Rs. 160
  • c)
      Rs. 180   
  • d)
      Rs. 220
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours resp...
A : B : C = 7 : 8 : 11.
Hire charges paid by B = Rs. (520 *  8/26) = Rs. 160.
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Most Upvoted Answer
A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours resp...
Given:
Total hire charges for the car = Rs. 520
Time for which the car was used by A, B and C = 7, 8 and 11 hours respectively

To find:
Hire charges paid by B

Solution:
Let the hire charges paid by A, B and C be a, b and c respectively.

According to the given conditions,
a + b + c = 520 ...(1) (Total hire charges)

Time for which the car was used by A, B and C are 7, 8 and 11 hours respectively
Hence, we can say that the charges paid by A, B and C are directly proportional to the time for which they used the car.
i.e., a/7 = b/8 = c/11

Let us assume that the constant of proportionality is k.
So, a/7 = k, b/8 = k and c/11 = k

a = 7k, b = 8k and c = 11k

Substituting these values in equation (1), we get
7k + 8k + 11k = 520
26k = 520
k = 20

Therefore, a = 7k = 140
b = 8k = 160
c = 11k = 220

Hence, the hire charges paid by B is Rs. 160.

Therefore, option (b) is the correct answer.
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Community Answer
A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours resp...
Rs 160
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A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:a) Rs. 140b) Rs. 160c) Rs. 180d) Rs. 220Correct answer is option 'B'. Can you explain this answer?
Question Description
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