Question

4. The railway fare in a certain year increases in
the ratio 20:23 and the number of passangers
decrease in the ratio 16:13. Find the ratio of
the total income from the passengers increase
or decrease​

Answer 1

Answer:

The total income has decreased in the ratio 100:93.4375

Step-by-step explanation:

Railway fare:

The fare has increased in the ratio 20:23

This ratio can be rewritten as 100:115

Passengers

No.of passengers has decreased in the ratio 16:13

This ratio can be rewritten as 100:81.25

Total income = Railway fare x No. of passengers

Old income = 100*100 = 10000

New income = 115*81.25 = 9343.75

As can be seen, there is a decrease in income.

The ratio in which income decreases is 10000:9343.75

= 100:93.4375

In terms of percentage, this means that:

If the original income was Rs.100, it is now Rs.93.4375

The reduction in terms of percentage = 100 - 93.4375 = 6.5625%

Summary:

Change in railway fare: 15% up

Change in passengers: 9.75% down

Income: 6.5625% down