Question

the fare of a bus journey has been increased by 25% and there is consequently a fall of 40% in the passenger traffic. find the percentage of decrease in the revenue.
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Answer 1

Step-by-step explanation:

Let the original bus fare per person be Rs. x daily passenger traffic be y.

Daily collection at the depot = Rs. xy

Increased bus fare = Rs. 1.2x

Reduced passenger traffic =0.9y=1.08xy

Given, 1.08xy=xy+150

⇒xy=

0.08

150

=1875

∴ Increased daily collection = Rs. 1875+ Rs .150= Rs. 2025.

Answer 2

Answer:

the fare of a bus journey has been increased by 25%

Means 100 --> 125

There is consequently a fall of 40% in the passenger traffic.

Means 100 --> 60

So earlier for 100 passengers, fare 100

Revenue

$x = 100 \times 100 = 10000$

Now for 60 passengers, fare 125

Revenue

$y = 60 \times 125 = 7500$

So decreased in revenue

$x - y = 10000 - 7500 = 2500$

And decreased % is,

$\frac{x - y}{x} \times 100 = \frac{2500}{10000} \times 100 = 25\%$

find the percentage of decrease in the revenue.