Question

In a museum, the entrance ticket costs Rs. $250$. In Vacation , the cost of the ticket is reduced, there by increasing the sale by $50$%. but it was found that the collection is decreased by $17.5$ %. what is the deduction in the ticket price?

• A. Rs. $100$
• B. Rs. $112.5$
• C. Rs. $1000$
• D. Rs. $1225$

Answer 1

Answer: (B)

Rs. $112.5$

Let there is sell of $100tickets.$

So, total Collection $=250\times 100=Rs.25,000$

Now,

Total ticket sale $=100+50\%of100=150$

This effected $17.5\%$ decrease in collection.

So, Collection after increased sale,

$=25000-17.5\%of25000$

$=Rs.20,625$

In vacation time per ticket price,

$=\frac{20625}{150}$

$=Rs.137.5$

Decreased in each ticket price,

$=250-137.5=Rs.112.5$

Hence, this is the answer.