Three friends Alice, Bond and Charlie divide Rs. $1105$ among them in such a way that if Rs. $10$ , Rs. $20$ and Rs. $15$ 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?

Rs.

495

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Rs.

500

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Rs.

425

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Rs.

450

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Solution

The correct option is A Rs. $495$
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 $11 a : 18 a : 24 a$
When Rs. $10$ , Rs. $20$ and Rs. $15$ are removed, we are removing a total of Rs. $45$ from Rs. $1105$ .
Therefore, $11 a + 18 a + 24 a = 1105 - 45 = 1060$
$⟹$ $53 a = 1060$
$⟹$ $a = 20$ .
We know that $z - 15 = 24 a = 24 \times 20 = 480$
Therefore, $z = 480 + 15 = R s .495$

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Three friends Alice, Bond and Charlie divide Rs.1105 among them in such a way that if Rs.10, Rs.20 and Rs.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?