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 ?

Given, cost of entry ticket to a fair are in the ratio 10 : 13 after increment.

Let cost of entry tickets be 10a before and 13a after increment and,

Given, the number of visitors to the fair has decreased in the ratio 6 : 5

Let no. of visitors to the fair be 6b before and 5b after decrement.

Collection before = 10a × 6b = 60ab

Collection after increase in price = 13a × 5b = 65ab

Ratio = $\dfrac{60ab}{65ab} = \dfrac{12}{13}$.

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