EMP Q.15

0. Three friends started a business of renting out air conditioners by investing Rs.20000, Rs. 24000 and Rs.216000, respectively. C gets 20% of total profit for repair and maintenance of the air conditioner. If in a particular year, C gets Rs. 487.50 less than total earnings of the other two, then total profit for the year is

  • Option : A
  • Explanation :

    80% of the total proit is divided in the ratio
    20000: 24000: 16000 = 5 : 6 : 4
    80% of total profit = 5x + 6x + 4x = 15x
    Total profit =(15x/80%)= 18.75x
    Share of C in profit = 4x + 20% of 18.75
    = 4x + 3.75x = 7.75x
    ∴Share of A in proit = 5x
    Share of B in proit = 6x
    ∴(6z + 5x) - 7.75x = 487.50
    ⇒3.25x = 487.50
    ⇒x = 150
    ∴Total profit = 18.75 x 150 = Z 2812.50.

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