Question

In a meseum, 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. $1125$
• C. Rs. $110$
• D. Rs. $115.5$

Answer 1

Answer: (B)

Rs. $1125$

Let there is sell of $100$ tickets
So, total collection $=250\times 100=$ Rs. $25000$ $[$Price of one ticket $=$ Rs. $100]$
Now, total ticket sale $=100+50\%$ of $100=150$
This effected $17.5\%$ decrease in collection
So, collection after increased sale,
$=25000-17.5\%$ of $25000=$ Rs. $20625$
In vacation time per ticket price,
$=\frac{20625}{150}=$ Rs. $137.5$
Decrease in each ticket price $=$ Rs. $112.5$