Question

By increasing the cost of entry ticket to a fair in the ratio 10:13 the number of visitors to the fair has decreased in the ratio 6:5. In what ratio has the total collection increased or decreased?

Answer 1

increasing cost of entry ticket to a fair in the ratio= 10:13, 
decrease in the number of visitors to the fair =6:5

Let original Tickets cost $10 and and number of visitors is 600

Original revenue: 10 x 600 = $6000
then,
Tickets cost= $13
number of visitors = 500
New Revenue: 13 x 500 = $6500

Increase of total collection ratio= 6500/6000
reduction= 13:12

Answer 2

Answer:

12 : 13

Step-by-step explanation:

Let the cost of the entry ticket initially and at present be 10 x and 13 x respectively and let the number of visitors initially and at present be 6 y and 5 y respectively.

Initially, total collection = 10 x × 6 y = 60 x y

At present, total collection = 13 x × 5 y = 65 x y

Ratio of total collection = 60 x y : 65 x y = 12 : 13

Thus, the total collection has increased in the ratio 12 : 13.

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