Which of the following equation is best representation of given graph's?

Options

A. INR 48,00,000
B. INR 30,00,000
C. INR 84,00,000
D. INR 34,00,00

Answer

B

Explanation

Let price of sultan ticket be x
Price of Dangal ticket be y
And price of Neerja ticket be z
Anita buys 2 sultan tickets 1, Dangal ticket and 3 Neerja tickets for a total of INR 1500
`rAr 2x+y+3z=1500 " "....(1)`
Gunjan buys 1 sultan ticket 2, Danga ticket and 2 Neeraj ticket of INR 1225
`rArr x+2y+2z=1225" "....(2)`
Khushboo buys 2 sultan ticket, 3 Dangal tickets and 1 Neerja tickets for INR 1200
`rArr 2x+3y+z=1200 " "....(3)`
Now, subtract (3) from (1)
`rArr 2x+y+3z-2x-3y=300`
`rArr 2z-2y=300" " .....(4)`
Multiply equation(4) by 2 and then equation (1) by (2)
`rArr 2x+4y+3z-2x-y-3z=2450-1500`
`rArr 3y+z=950" "....(5)`
Multiply equation (4) by (3) and equation (5) by (2) and then add both of them
`rArr 6 -6y+6y+2z=900+1900`
`rArr 8z=2800`
`rArr z=350` Putting value of z in equation (5)
`rArr 3y+350=950`
`rArr 3y=600`
`rArr y=200` Now putting value of y and z in (1)
`rArr 2x+200+3(350)=1500`
`rAr 2x=1500-1250`
`rArr x=125`
Hence, price of one Sultan ticket is INR 125 Number of Sultan tickets sold in Bangalor =24000
`:.` Collection made by sultan from Bangalor =`24000xx15`
`rArr` Collection made by sultan from Bangalor =INR 30,00,000
Hence, movie Sultan collected INR 30,00,000 from Bangalor.