Question : In a cricket match, there are three types of tickets say A, B, and C each costing Rs. 1000, Rs. 500, and Rs. 200 respectively. The ratio of the tickets sold in categories A, B, and C is $3:2:5$. If the total collection from selling the tickets is Rs. 2.5 crores. Find the total number of tickets sold.
Option 1: 5000
Option 2: 4800
Option 3: 50000
Option 4: 52000
Correct Answer: 50000
Solution :
Let the number of tickets be $3n, 2n,$ and $5n$.
According to the question,
$(3n×1000)+(2n×500)+(5n×200) = 25000000$
⇒ $3000n+1000n+1000n = 25000000$
⇒ $5000n = 25000000$
⇒ $n = \frac{25000000}{5000}$
$\therefore n= 5000$
So, total number of tickets $=(3n+2n+5n) = 10n= (10 × 5000) = 50000$
Hence, the correct answer is 50000.
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