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Three friends Alice, Bond and Charlie divide $1105 amongst them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive? a) $495 b) $510 c) $480 d) $375 e) $360
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Answer: A

Let the sums of 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

53a=1060

or a= 20

We know that z – 15 = 24a = (24 * 20) = 480

Therefore, z = 480 + 15 = $495
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