population of two small cities A and C are 16,000 and 12,800 respectively . Ratio of population of city A to that of B is 4:5. Three manufactures, X,Y and Z supply cycles in these three cities. These manufactured cyceles in the ratio of `22:19:20(X:Y:Z)` by assuming that each person will buy one cycle and `60% 75^ and 80%` of the cycle manufactured by X,Y and Z. respectively are sold and selling price of each cycle is Rs. 8,000.
(a) `"Supply"=("Revenu")/("Selling price of a cycle")`
(b) `"Demand %"=("Number of cycles ordered by customers")/("Total number of cycles remainded with manufacturer")`
What is the revenue generatd from city B, if each person of city A and C purchased a cycle ?

Options

A. `8.424` crore
B. `4.768` crore
C. `6.348` crore
D. `9.00` crore

Answer

B

Explanation

Total populaton in A and C is 16000 and 12800
Population in `B rarr (16000)/(4)xx5=20,000`
Cycle manufactured by X,Y and Z

=16000+12800+2000=48000
Total cycle manufactured by X
`=(48800)/(61)xx22=17600`
By Y `=(48800)/(61)xx19=15200`
By `Z=(48800)/(61)xx20=16000`
Cycle supplied by `X=(60)/(100)xx17600=10560`
By `Y=(75)/(100)xx15200=11400`
By `Z=(80)/(100)xx16000=12800`
Cycle supplied by B
`=10560+11400+12800-16000-12800=5960`
Revenue `=8000xx5960=47680000=4.768` cr.