State whether the following statement is true or false.

The car parking charges near a railway station is shown in below table:

Number of hours
Charges (₹)
4
60
8
100
12
140
24
180

Then the parking charges are in direct proportion to the parking time.

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True

False

answer is B.

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Detailed Solution

The following table shows the car parking charges near a railway station:

Number of hours	Charges (₹)
4	60
8	100
12	140
24	180

We know that if two quantities x and y vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e.

x y = k,

where k is a constant positive number.
Let us check charges (₹) per hour in each of the four cases.
For 4 hours case:
Charges (₹) per hour

= 604 = 15.00

For 8 hours case:
Charges (₹) per hour

= 1008 = 12.50

For 12 hours case:
Charges (₹) per hour

= 14012 = 11.67

For 24 hours case:
Charges (₹) per hour

= 18024 = 7.50

Since the charges (₹) per hour in four cases are different, the parking charges are not in direct proportion.
Thus, the given statement is false.
Hence, option 2 is correct.

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