Question 107

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 of categories A, B and C is 3:2:5. If the total collection from selling the tickets is Rs. 2.5 crore, find the total number of tickets sold ?

Solution

Let tickets sold of category $$A=3x$$, $$B=2x$$ and $$C=5x$$

Total cost of tickets = $$(3x\times1000)+(2x\times500)+(5x\times200)$$

=> $$3000x+1000x+1000x=2,50,00,000$$

=> $$x=\frac{2,50,00,000}{5000}=5,000$$

$$\therefore$$ Total tickets sold = $$3x+2x+5x=10x$$

= $$10\times5000=50,000$$

=> Ans - (C)

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