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16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.?
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16% increase in the train fare resulted in a 6% decrease in the passen...
Given Information:
- There was a 16% increase in train fare.
- This increase resulted in a 6% decrease in passenger traffic.
- The daily collection of a station increased by Rs 5,424 after these changes.
To Find:
- The daily collection of the station before the increase in fare.
Assumptions:
- Let the initial daily collection of the station be x.
Solution:
Effect of Increase in Fare:
Let the initial fare be f.
After a 16% increase, the new fare becomes (1 + 0.16)f = 1.16f.
Effect of Decrease in Passenger Traffic:
Let the initial passenger traffic be p.
After a 6% decrease, the new passenger traffic becomes (1 - 0.06)p = 0.94p.
Effect on Daily Collection:
The daily collection is given by the product of fare and passenger traffic:
Initial daily collection = f * p
New daily collection = (1.16f) * (0.94p)
The increase in daily collection is given as Rs 5,424:
New daily collection - Initial daily collection = 5,424
Substituting the values:
(1.16f) * (0.94p) - f * p = 5,424
Simplifying the Equation:
(1.16 * 0.94 - 1) * f * p = 5,424
(1.0896 - 1) * x = 5,424
0.0896 * x = 5,424
x = 5,424 / 0.0896
x ≈ 60,535.71
The daily collection of the station before the increase in fare was approximately Rs 60,535.71.
- There was a 16% increase in train fare.
- This increase resulted in a 6% decrease in passenger traffic.
- The daily collection of a station increased by Rs 5,424 after these changes.
To Find:
- The daily collection of the station before the increase in fare.
Assumptions:
- Let the initial daily collection of the station be x.
Solution:
Effect of Increase in Fare:
Let the initial fare be f.
After a 16% increase, the new fare becomes (1 + 0.16)f = 1.16f.
Effect of Decrease in Passenger Traffic:
Let the initial passenger traffic be p.
After a 6% decrease, the new passenger traffic becomes (1 - 0.06)p = 0.94p.
Effect on Daily Collection:
The daily collection is given by the product of fare and passenger traffic:
Initial daily collection = f * p
New daily collection = (1.16f) * (0.94p)
The increase in daily collection is given as Rs 5,424:
New daily collection - Initial daily collection = 5,424
Substituting the values:
(1.16f) * (0.94p) - f * p = 5,424
Simplifying the Equation:
(1.16 * 0.94 - 1) * f * p = 5,424
(1.0896 - 1) * x = 5,424
0.0896 * x = 5,424
x = 5,424 / 0.0896
x ≈ 60,535.71
The daily collection of the station before the increase in fare was approximately Rs 60,535.71.
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16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.?
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16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.?.
16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.?.
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