Percentage

1:

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

A.

Rs.2812.50

B.

Rs.3625.50

C.

Rs.4515.00

D.

None of these

 

Answer : 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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Option: A

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