Three friends Vignesh, Sarosh and Gautham divide Rs1105 amongst them in such a way that if Rs10, Rs20 and Rs15 are removed from the sums that Vignesh, Sarosh and Gautham received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Gautham receive?

495

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480

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375

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none

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Solution

The correct option is A
495

Let the money received by A, B and C be x, y and z respectively.

Then x - 10 : y - 20 : z -15 is 11a : 18a : 24a

When 10, 20 and 15 are removed, we are removing a total of 45 from 1105.

Therefore, 11a + 18a + 24a = 1105 - 45 = 1060

i.e., 53a = 1060

or a = 20.

We know that z - 15 = 24a = 24 $\times$ 20 = 480

Therefore, z = 480 + 15 = 495

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